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Volume 1, Number 1, March, 1985Editors Symbolic Computation (An Editorial) . . 1--6 Etienne Paul Equational Methods in First Order Predicate Calculus . . . . . . . . . . . 7--29 Elmar Eder Properties of Substitutions and Unifications . . . . . . . . . . . . . . 31--46 B. Chazelle and H. Edelsbrunner Optimal Solutions for a Class of Point Retrieval Problems . . . . . . . . . . . 47--56 Erich Kaltofen Fast Parallel Absolute Irreducibility Testing . . . . . . . . . . . . . . . . 57--67 Richard Pavelle and Paul S. Wang MACSYMA from $ {F} $ to $ {G} $ . . . . 69--100 V. P. Gerdt and A. B. Shvachka and A. Yu. Zharkov Computer algebra application for classification of integrable non-linear evolution equations . . . . . . . . . . 101--107 K. S. Kölbig Explicit Evaluation of Certain Definite Integrals Involving Powers of Logarithms 109--114 W. Bibel and K. Aspetsberger A Bibliography on Parallel Inference Machines . . . . . . . . . . . . . . . . 115--118
A. W. Biermann Automatic Programming: a Tutorial on Formal Methodologies . . . . . . . . . . 119--142 Gregory Butler Effective Computations with Group Homomorphisms . . . . . . . . . . . . . 143--158 (or 143--157??) David R. Barton and Richard Zippel Polynomial Decomposition Algorithms . . 159--168 Allan Borodin and Ronald Fagin and John E. Hopcroft and Martin Tompa Decreasing the Nesting Depth of Expressions Involving Square Roots . . . 169--188 Richard Zippel Simplification of Expressions Involving Radicals . . . . . . . . . . . . . . . . 189--210 John P. Fitch Solving algebraic problems with REDUCE 211--228 (or 211--227??) Fritz Schwarz An Algorithm for Determining Polynomial First Integrals of Autonomous Systems of Ordinary Differential Equations . . . . 229--234 (or 229--233??) Miguel Navarro-Saad and Kurt Bernardo Wolf Applications of a Factorization Theorem for Ninth-order Aberration Optics . . . 235--240 (or 235--239??) D. Coppersmith and J. H. Davenport An Application of Factoring . . . . . . 241--243
W. Bibel Automated Inferencing . . . . . . . . . 245--260 D. Lazard Ideal Bases and Primary Decomposition: Case of Two Variables . . . . . . . . . 261--270 E. V. Krishnamurthy Symbolic Iterative Algorithm for Generalized Inversion of Rational Polynomial Matrices . . . . . . . . . . 271--282 (or 271--281??) G. W. Cherry Integration in Finite Terms with Special Functions: the Error Function . . . . . 283--302 Michael Karr Theory of Summation in Finite Terms . . 303--316 (or 303--315??) Nicola Rizzi and Amabile Tatone Using Symbolic Computation in Buckling Analysis . . . . . . . . . . . . . . . . 317--322 (or 317--321??) Thierry Coquand and Gérard A. Huet A Selected Bibliography on Constructive Mathematics, Intuitionistic Type Theory and Higher Order Deduction . . . . . . . 323--328
Leo Bachmair and David A. Plaisted Termination Ordering for Associative Commutative Rewriting Systems . . . . . 329--350 (or 329--349??) D. F. Holt The Mechanical Computation of First and Second Cohomology Groups . . . . . . . . 351--362 (or 351--361??) G. Butler and C. W. H. Lam A General Backtrack Algorithm for the Isomorphism Problem of Combinatorial Objects . . . . . . . . . . . . . . . . 363--382 (or 363--381??) Klaus Madlener and Friedrich Otto Pseudonatural algorithms for the word problem for finitely presented monoids and groups . . . . . . . . . . . . . . . 383--418 Ph. Tombal and A. Moussiaux MACSYMA computation of the Dirac--Bergmann algorithm for Hamiltonian systems with constraints . . 419--421
Jerald J. Kovacic An Algorithm for Solving Second Order Linear Homogeneous Differential Equations . . . . . . . . . . . . . . . 3--43 M. D. Atkinson and R. A. Hassan On the Computation of Group Characters 45--50 Michael C. Slattery Computing character degrees in $p$-groups . . . . . . . . . . . . . . . 51--58 Ana Pasztor Non-Standard Algorithmic and Dynamic Logic . . . . . . . . . . . . . . . . . 59--81 W. Boege and R. Gebauer and H. Kredel Some Examples for Solving Systems of Algebraic Equations by Calculating Gröbner Bases . . . . . . . . . . . . . . 83--98 Chanderjit Bajaj Proving Geometric Algorithm Non-Solvability: An Application of Factoring Polynomials . . . . . . . . . 99--102 S. J. Watowich and J. L. Krause and R. S. Berry Stability Analysis of an Optimally Controlled Light-Driven Engine . . . . . 103--108
Jürgen Avenhaus On the Descriptive Power of Term Rewriting Systems . . . . . . . . . . . 109--122 U. Furbach and S. Hölldobler Modelling the Combination of Functional and Logic Programming Languages . . . . 123--138 Lorenzo Robbiano On the Theory of Graded Structures . . . 139--170 H. Edelsbrunner and R. Waupotitsch Computing a Ham-Sandwich Cut in Two Dimensions . . . . . . . . . . . . . . . 171--178 Bruce W. Char and G. J. Fee and Keith O. Geddes and Gaston H. Gonnet and Michael B. Monagan A Tutorial Introduction to Maple . . . . 179--200 Anthony Duncan and Ralph Roskies Representations of Unusual Mathematical Structures in Scientific Applications of Symbolic Computation . . . . . . . . . . 201--206 (or 201--207??) C. Trindle Application of the MuMath(R) Symbol Manipulation System to Chemically Significant Permutation Groups . . . . . 207--212 Stanly Steinberg and Patrick J. Roache Using Macsyma to Write FORTRAN Subroutines . . . . . . . . . . . . . . 213--216
B. F. Caviness Computer Algebra: Past and Future . . . 217--236 J. H. Davenport and M. F. Singer Elementary and Liouvillian solutions of linear differential equations . . . . . 237--260 Heinrich Rolletschek On the Number of Divisions of the Euclidean Algorithm Applied to Gaussian Integers . . . . . . . . . . . . . . . . 261--292 (or 261--291??) David A. Plaisted and Steven Greenbaum A Structure Preserving Clause Form Translation . . . . . . . . . . . . . . 293--304 Paul S. Wang FINGER: a symbolic system for automatic generation of numerical programs in finite element analysis . . . . . . . . 305--316
R. V. Book and J. H. Siekmann On Unification: Equational Theories Are Not Bounded . . . . . . . . . . . . . . 317--324 Lawrence C. Paulson Constructing Recursion Operators in Intuitionistic Type Theory . . . . . . . 325--355 Murray R. Bremner Fast Computation of Weight Multiplicities . . . . . . . . . . . . . 357--362 Philippe Le Chenadec A Catalogue of Complete Group Presentations . . . . . . . . . . . . . 363--381 D. Armbruster and H. Kredel Constructing universal unfoldings using Gröbner bases . . . . . . . . . . . . . . 383--388 B. Kutzler and S. Stifter On the application of Buchberger's algorithm to automated geometry theorem proving . . . . . . . . . . . . . . . . 389--397 Deepak Kapur Using Gröbner bases to reason about geometry problems . . . . . . . . . . . 399--408
T. Coquand and G. P. Huet A Selected Bibliography on Constructive Mathematics, Intuitionistic Type Theory and Higher Order Deduction . . . . . . . ??
Bruno Buchberger History and Basic Features of the Critical-Pair/Completion Procedure . . . 3--38 Ronald V. Book Thue Systems as Rewriting Systems . . . 39--68 Nachum Dershowitz Termination of Rewriting . . . . . . . . 69--115 Michael Rusinowitch Path of Subterms Ordering and Recursive Decomposition Ordering Revisited . . . . 117--132 (or 117--131??) Jieh Hsiang Rewrite Method for Theorem Proving in First Order Theory with Equality . . . . 133--151 Katherine A. Yelick Unification in Combinations of Collapse-free Regular Theories . . . . . 153--181 Erik Tidén and Stefan Arnborg Unification Problems with One-sided Distributivity . . . . . . . . . . . . . 183--202 Dan Benanav and Deepak Kapur and Paliath Narendran Complexity of Matching Problems . . . . 203--216
Albrecht Fortenbacher An Algebraic Approach to Unification Under Associativity and Commutativity 217--229 Charles C. Sims Verifying Nilpotence . . . . . . . . . . 231--247 F. Aurenhammer Recognising Polytopical Cell Complexes and Constructing Projection Polyhedra 249--255 François Fages Associative-Commutative Unification . . 257--275 J. F. Ogilvie and R. H. Tipping On the Analytic Solution by Computer Algebra of Some Problems in the Vibration-rotational Spectroscopy of Diatomic Molecules . . . . . . . . . . . 277--281 W. A. Beyer and L. Heller A Steiner Tree Associated with Tree Quarks . . . . . . . . . . . . . . . . . 283--289 R. D. Mills Using a Small Algebraic Manipulation System to Solve Differential and Integral Equations by Variational and Approximation Techniques . . . . . . . . 291--301 A. L. Semjonov and L. S. Mel\cprimenikov and V. A. Evstigneev Solving the Problems of Kinetics of Complex Reactions by Symbolic Algebraic Manipulation Methods . . . . . . . . . . 303--307
Michael Pohst Introduction . . . . . . . . . . . . . . 1--2 R. Böffgen and M. A. Reichert Computing the Decomposition of Primes $p$ and $p$-adic Absolute Values in Semisimple Algebras over $ {\bf Q}$ . . 3--10 Johannes B. Buchmann and H. C. Williams On Principal Ideal Testing in Algebraic Number Fields . . . . . . . . . . . . . 11--19 L. Cerlienco and M. Mignotte and F. Piras Computing the Measure of a Polynomial 21--33 Harvey Cohn and Jesse Ira Deutsch Application of Symbolic Manipulation to the Hecke Transformations of Modular Forms in Two Variables, II . . . . . . . 35--40 Carsten Eckhardt Computation of Class Numbers by an Analytic Method . . . . . . . . . . . . 41--52 H. G. Folz and H. G. Zimmer What is the Rank of the Demjanenko Matrix? . . . . . . . . . . . . . . . . 53--67 David J. Ford The Construction of Maximal Orders Over a Dedekind Domain . . . . . . . . . . . 69--75 Erich Kaltofen Deterministic Irreducibility Testing of Polynomials over Large Finite Fields . . 77--82 Gunter Malle Polynomials for Primitive Nonsolvable Permutation Groups of Degree $ d \leq 15 $ . . . . . . . . . . . . . . . . . . . 83--92 B. Heinrich Matzat and Andreas Zeh-Marschke Polynome mit der Galoisgruppe $ {M}_{11} $ über $ {\bf Q} $. (German) [Polynomials with the Galois group $ {M}_{11} $ over $ {\bf Q} $] . . . . . . . . . . . . . . 93--97 Eckart Maus Computation of integral bases in certain $ {S}_n $ extensions of $ {\bf Q} $ . . 99--102 Attila Pethö On the resolution of Thue inequalities 103--109 W. Plesken Towards a Soluble Quotient Algorithm . . 111--122 M. Pohst A Modification of the LLL-Reduction Algorithm . . . . . . . . . . . . . . . 123--127 Anonymous Bibliography of Hans Zassenhaus . . . . 129--135
Joachim von zur Gathen Feasible Arithmetic Computations: Valiant's Hypothesis . . . . . . . . . . 137--172 Neil V. Murray and Erik Rosenthal Theory Links: Applications to Automated Theorem Proving . . . . . . . . . . . . 173--190 Wolfram Büttner and Helmut Simonis Embedding Boolean Expressions into Logic Programming . . . . . . . . . . . . . . 191--205 Robert Paige and Fritz Henglein Mechanical Translation of Set Theoretic Problem Specifications into Efficient RAM Code --- a Case Study . . . . . . . 207--232 Jean H. Gallier Fast algorithms for testing unsatisfiability of ground Horn clauses with equations . . . . . . . . . . . . . 233--254 Gordon F. Royle The Transitive Groups of Degree Twelve 255--268
Jacek Gibert Functional Programming with Combinators 269--293 Stéphane Kaplan Simplifying conditional term rewriting systems: unification, termination and confluence . . . . . . . . . . . . . . . 295--334 A. Hilali On the algebraic and differential Newton--Puiseux polygons . . . . . . . . 335--349 Sabine Stifter A Generalization of Reduction Rings . . 351--364 D. A. Young and P. S. Wang GI/S: a graphical user interface for symbolic computation systems . . . . . . 365--380 W. A. Beyer and L. R. Fawcett and R. D. Mauldin and B. K. Swartz The volume common to two congruent circular cones whose axes intersect symmetrically . . . . . . . . . . . . . 381--390 Isaac Elishakoff and Brian Couch Application of Symbolic Algebra to the Instability of a Nonconservative System 391--396 S. Bandyopadhyay and J. S. Devitt SIS: a symbolic information management system . . . . . . . . . . . . . . . . . 397--408 Nachum Dershowitz Corrigendum: ``Termination of rewriting'' . . . . . . . . . . . . . . 409--410
Volker Weispfenning The Complexity of Almost Linear Diophantine Problems . . . . . . . . . . 3--28 (or 3--27??) James H. Davenport and Joos Heintz Real Quantifier Elimination is Doubly Exponential . . . . . . . . . . . . . . 29--36 (or 29--35??) D. Yu. Grigor\cprimeev and N. N. Vorobjov, Jr. Solving Systems of Polynomial Inequalities in Sub-Exponential Time . . 37--64 D. Yu. Grigor\cprimeev Complexity of Deciding Tarski Algebra 65--108 Jean-Jacques J. Risler Some Aspects of Complexity in Real Algebraic Geometry . . . . . . . . . . . 109--120 (or 109--119??) M. Coste and M. F. Roy Thom's Lemma, the Coding of Real Algebraic Numbers and the Computation of the Topology of Semi-Algebraic Sets . . 121--130 (or 121--129??) Stefan Arnborg and Huichun Feng Algebraic Decomposition of Regular Curves . . . . . . . . . . . . . . . . . 131--140 Scott McCallum An Improved Projection Operation for Cylindrical Algebraic Decomposition of Three-Dimensional Space . . . . . . . . 141--162 (or 141--161??) Dennis S. Arnon and George E. Collins and Scott McCallum An Adjacency Algorithm for Cylindrical Algebraic Decompositions of Three-Dimensional Space . . . . . . . . 163--188 (or 163--187??) Dennis S. Arnon A Cluster-Based Cylindrical Algebraic Decomposition Algorithm . . . . . . . . 189--212 Dennis S. Arnon and Scott McCallum A Polynomial-time Algorithm for the Topological Type of a Real Algebraic Curve . . . . . . . . . . . . . . . . . 213--236 Dennis S. Arnon and Maurice Mignotte On Mechanical Quantifier Elimination for Elementary Algebra and Geometry . . . . 237--260 (or 237--259??) Daniel Lazard Quantifier Elimination: Optimal Solutions for Two Classical Examples . . 261--266 Dennis S. Arnon A Bibliography of Quantifier Elimination for Real Closed Fields . . . . . . . . . 267--274
Gregory Butler A proof of Holt's algorithm . . . . . . 275--284 (or 275--283??) S. P. Glasby Constructing Normalisers in Finite Soluble Groups . . . . . . . . . . . . . 285--294 S. P. Glasby Intersecting Subgroups of Finite Soluble Groups . . . . . . . . . . . . . . . . . 295--302 (or 295--301??) Hidetsune Kobayashi and Tetsuro Fujise and Akio Furukawa Solving Systems of Algebraic Equations by a General Elimination Method . . . . 303--320 Shojiro Sakata Finding a Minimal Set of Linear Recurring Relations Capable of Generating a Given Finite Two-Dimensional Array . . . . . . . . . 321--338 (or 321--337??) Klaus Madlener and Friedrich Otto Pseudo-Natural Algorithms for Finitely Generated Presentations of Monoids and Groups . . . . . . . . . . . . . . . . . 339--358 G. Mints and E. Tyugu The programming system PRIZ . . . . . . 359--376 (or 359--375??) Martin L. Sage An algebraic treatment of quantum vibrations using REDUCE . . . . . . . . 377--384 C. P. Mawata Solving the heat equation symbolically with MuSimp . . . . . . . . . . . . . . 385--389
Leo Bachmair and Nachum Dershowitz Critical Pair Criteria for Completion 1--18 Deepak Kapur and David R. Musser and Paliath Narendran Only Prime Superpositions Need be Considered in the Knuth--Bendix Completion Procedure . . . . . . . . . . 19--36 Abdelilah Kandri-Rody and Deepak Kapur Computing a Gröbner basis of a polynomial ideal over a Euclidean domain . . . . . 37--58 (or 37--57??) Edmund F. Robertson Tietze Transformations with Weighted Substring Search . . . . . . . . . . . . 59--64 Thomas J. Myers and Maya B. Gokhale Parallel Scheduling of Recursively Defined Arrays . . . . . . . . . . . . . 65--82 (or 65--81??) Domenico Cantone and Susanna Ghelfo and Eugenio Omodeo The automation of syllogistic. I. Syllogistic normal forms . . . . . . . . 83--98 (or 82--98??) C. Wrathall The Word Problem for Free Partially Commutative Groups . . . . . . . . . . . 99--104 Gerhard O. Michler An Algorithm for Determining the Simplicity of a Modular Group Representation . . . . . . . . . . . . . 105--112 (or 105--111??) J. Dixmier and D. Lazard Minimum number of fundamental invariants for the binary form of degree 7 . . . . 113--116 (or 113--115??) Alexander Ollongren On a particular restricted five-body problem: an analysis with computer algebra . . . . . . . . . . . . . . . . 117--127 (or 117--126??) J. H. Davenport Computer Algebra Applied to Itself . . . 127--132
David Bayer and Michael Stillman On the Complexity of Computing Syzygies 135--148 (or 135--147??) Patrizia Gianni and Barry Trager and Gail Zacharias Gröbner bases and primary decomposition of polynomial ideals . . . . . . . . . . 149--168 (or 149--167??) R. Shtokhamer Lifting canonical algorithms from a ring $ {R} $ to the ring $ {R}[x] $ . . . . . 169--182 (or 169--181??) Teo Mora and Lorenzo Robbiano The Gröbner Fan of an ideal . . . . . . . 183--208 David Bayer and Ian Morrison Standard bases and geometric invariant theory. I. Initial ideals and state polytopes . . . . . . . . . . . . . . . 209--218 (or 209--217??) Giuseppa Carr\`a Ferro Gröbner bases and Hilbert schemes. I . . 219--230 Heinz Kredel and Volker Weispfenning Computing dimension and independent sets for polynomial ideals . . . . . . . . . 231--248 (or 231--247??) Marc Giusti Combinatorial dimension theory of algebraic varieties . . . . . . . . . . 249--266 (or 249--265??) David Shannon and Moss Sweedler Using Gröbner bases to determine algebra membership, split surjective algebra homomorphisms determine birational equivalence . . . . . . . . . . . . . . 267--274 (or 267--273??) Rüdiger Gebauer and H. Michael Möller On an Installation of Buchberger's Algorithm . . . . . . . . . . . . . . . 275--286 Franz Winkler A $p$-adic approach to the computation of Gröbner bases . . . . . . . . . . . . 287--304 A. Miola and T. Mora Constructive lifting in graded structures: a unified view of Buchberger and Hensel methods . . . . . . . . . . . 305--322 Michela Brundu and Fabio Rossi On the computation of generalised standard bases . . . . . . . . . . . . . 323--344 (or 323--343??) H. Michael Möller On the construction of Gröbner bases using syzygies . . . . . . . . . . . . . 345--360 (or 345--359??) J. Apel and W. Lassner An extension of Buchberger's algorithm and calculations in enveloping fields of Lie algebras . . . . . . . . . . . . . . 361--370 Tatiana Gateva-Ivanova and Victor Latyshev On recognisable properties of associative algebras . . . . . . . . . . 371--388
Hans W. Scholten and Mark H. Overmars General Methods for Adding Range Restrictions to Decomposable Searching Problems . . . . . . . . . . . . . . . . 1--10 Richard Cole and Micha Sharir Visibility Problems for Polyhedral Terrains . . . . . . . . . . . . . . . . 11--30 Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet GCDHEU: Heuristic Polynomial GCD Algorithm Based on Integer GCD Computation . . . . . . . . . . . . . . 31--48 S. R. Czapor Solving Algebraic Equations: Combining Buchberger's Algorithm with Multivariate Factorization . . . . . . . . . . . . . 49--54 (or 49--53??) Luquan Pan On the $D$-Basis of Polynomial Ideals over Principal Ideal Domains . . . . . . 55--70 (or 55--69??) Leon Sterling and Alan Bundy and Lawrence Byrd and Richard O'Keefe and Bernard Silver Solving Symbolic Equations with PRESS 71--84 Ph. Tombal and A. Moussiaux Algebraic programming of geometrical calculus and Clifford algebra . . . . . 85--92 (or 85--91??) Tze Beng Ng Computation of the cohomology of $ B \hat {\rm S}{\rm O}_n \langle 16 \rangle $ for $ 23 \leq n \leq 26 $ using REDUCE 93--100 (or 93--99??) Martin L. Sage Erratum: ``An algebraic treatment of quantum vibrations using REDUCE'' [J. Symbolic Comput. \bf 5 (1988), no. 3, 377--384] . . . . . . . . . . . . . . . 101--101
Rick Statman The Word Problem for Smullyan's Lark Combinator is Decidable . . . . . . . . 103--112 Masako Takahashi Parallel Reduction in $ \lambda $-Calculus . . . . . . . . . . . . . . . 113--124 (or 113--123??) Danny de Schreye and Maurice Bruynooghe On the Transformation of Logic Programs with Instantiation Based Computation Rules . . . . . . . . . . . . . . . . . 125--154 Marilena Pittaluga and Elisabetta Strickland A computer oriented algorithm for the determination of the dimension and character of a modular irreducible $ {\rm {SL}}(n, {K})$-module . . . . . . . 155--162 (or 155--161??) R. D. Dutton and R. C. Brigham and F. Gomez INGRID: a Graph Invariant Manipulator 163--178 (or 163--177??) S. A. Vorontsov An Example of the Application of Symbolic Computation in Solid State Physics . . . . . . . . . . . . . . . . 179--182 (or 179--181??) B. Autin and J. Bengtsson Symbolic Evaluation of Integrals Occurring in Accelerator Orbit Theory 183--188 (or 183--187??) J. F. Magnan A MACSYMA Program for the Multiple Bifurcation Analysis of Double-Diffusive Convection . . . . . . . . . . . . . . . 189--198 (or 189--197??) W. Hirschberg and D. Schramm Application of NEWEUL in Robot Dynamics 199--204
Jörg H. Siekmann Unification Theory . . . . . . . . . . . 207--274 Ursula Martin and Tobias Nipkow Boolean Unification --- The Story So Far 275--294 (or 275--293??) Werner Nutt and Pierre Réty and Gert Smolka Basic Narrowing Revisited . . . . . . . 295--318 (or 295--317??) Jia-Huai You Enumerating Outer Narrowing Derivations for Constructor-Based Term Rewriting Systems . . . . . . . . . . . . . . . . 319--342 (or 319--341??) Gert Smolka and Hassan Aït-Kaci Inheritance Hierarchies: Semantics and Unification . . . . . . . . . . . . . . 343--370 Hubert Comon and Pierre Lescanne Equational Problems and Disunification 371--425 (or 371--426??) Paris C. Kanellakis and Peter Z. Z. Revesz On the Relationship of Congruence Closure and Unification . . . . . . . . 427--444
Dexter Kozen and Susan Landau Polynomial Decomposition Algorithms . . 445--456 Paliath Narendran and Colm Ó'Dúnlaing Cancellativity in Finitely Presented Semigroups . . . . . . . . . . . . . . . 457--472 C. W. H. Lam and L. Thiel Backtrack Search with Isomorph Rejection and Consistency Check . . . . . . . . . 473--486 (or 473--485??) Eyal Mozes A deductive database based on Aristotelian logic . . . . . . . . . . . 487--508 (or 487--507??) Catherine Lassez and Ken McAloon and Graeme Port Stratification and Knowledge Base Management . . . . . . . . . . . . . . . 509--522 Renato P. dos Santos Using REDUCE in Supersymmetry . . . . . 523--525
Bernd Martin and Gerhard Pfister The kernel of the Kodaira--Spencer map of the versal $ \mu $-constant deformation of an irreducible plane curve singularity with $ {\bf C}^r$-action . . . . . . . . . . . . . . 527--532 (or 527--531??) J. Traugott Deductive Synthesis of Sorting Programs 533--572 Patrick Suppes and Shuzo Takahashi An Interactive Calculus Theorem-Prover for Continuity Properties . . . . . . . 573--590 Teofilo Gonzalez and Si-Qing Zheng Improved Bounds for Rectangular and Guillotine Partitions . . . . . . . . . 591--610 W. I. Fushchich and V. V. Kornyak Computer algebra application for determining Lie and Lie--Bäcklund symmetries of differential equations . . 611--619
Hans-Jürgen Bürckert and Alexander Herold and Manfred Schmidt-Schauss On Equational Theories, Unification, and (Un)decidability . . . . . . . . . . . . 3--50 (or 3--49??) Manfred Schmidt-Schauss Unification in a Combination of Arbitrary Disjoint Equational Theories 51--100 (or 51--99??) J. Gallier and W. Snyder Higher-order unification revisited: complete sets of transformations . . . . 101--140 Wayne Snyder and Jean Gallier Higher order unification revisited: Complete Sets of Transformations . . . . 101--140 Philippe Le Chenadec On the logic of unification . . . . . . 141--199 Michael Clausen and Albrecht Fortenbacher Efficient Solution of Linear Diophantine Equations . . . . . . . . . . . . . . . 201--216 Patrick Lincoln and Jim Christian Adventures in Associative-Commutative Unification . . . . . . . . . . . . . . 217--240
Gregory Butler and John Cannon Computing in permutation and matrix groups. III: Sylow subgroups . . . . . . 241--252 Laurent Fribourg A Strong Restriction of the Inductive Completion Procedure . . . . . . . . . . 253--276 Martin Abadi and Zohar Manna Temporal Logic Programming . . . . . . . 277--296 (or 277--295??) F. Brackx and D. Constales and A. Ronveaux and H. Serras On the Harmonic and Monogenic Decomposition of Polynomials . . . . . . 297--304 A. D. Fitt Symbolic Computation of Hyperbolicity Regions for Systems of Two-Phase Flow Conservation Laws Using Maple . . . . . 305--308
Gordon F. Royle and Cheryl E. Präger Constructing the Vertex-Transitive Graphs of Order 24 . . . . . . . . . . . 309--326 Arne Dür On Computing the Canonical Form for a Binary Form of Odd Degree . . . . . . . 327--334 (or 327--333??) Laurence Puel Using Unavoidable Set of Trees to Generalize Kruskal's Theorem . . . . . . 335--382 José Meseguer and Joseph A. Goguen and Gert Smolka Order Sorted Unification . . . . . . . . 383--414 (or 383--413??) Manfred Schmidt-Schauss Unification in Permutative Equational Theories is Undecidable . . . . . . . . 415--422 (or 415--421??) M. L. Dudley and R. W. James Computer-aided derivation of spherical harmonic spectral equations in astro-geophysics . . . . . . . . . . . . 423--427
Lars Langemyr and Scott McCallum The Computation of Polynomial Greatest Common Divisors Over an Algebraic Number Field . . . . . . . . . . . . . . . . . 429--448 Alexandre Boudet and Jean-Pierre P. Jouannaud and Manfred Schmidt-Schauss Unification in Boolean rings and Abelian groups . . . . . . . . . . . . . . . . . 449--478 (or 449--477??) Franz Baader Unification in Commutative Theories . . 479--498 (or 479--497??) Habib Abdulrab and Jean-Pierre Pécuchet Solving Word Equations . . . . . . . . . 499--522 (or 499--521??) Hans-Jürgen J. Bürckert Matching --- a Special Case of Unification? . . . . . . . . . . . . . . 523--536 A. Ronveaux and G. Thiry Differential Equations of Some Orthogonal Families in REDUCE . . . . . 537--541
Hidetsune Kobayashi and Shuichi Moritsugu and Robert W. Hogan On radial zero-dimensional ideals . . . 545--552 Kazuhiro Yokoyama and Masayuki Noro and Taku Takeshima Computing Primitive Elements of Extension Fields . . . . . . . . . . . . 553--580 Takaji Umeno and Syuichi Yamashita and Osami Saito and Kenichi Abe Symbolic Computation Application for the Design of Linear Multivariable Control Systems . . . . . . . . . . . . . . . . 581--588 Kô Sakai and Akira Aiba CAL: a theoretical background of constraint logic programming and its applications . . . . . . . . . . . . . . 589--604 (or 589--603??) Taisuke Sato and Hisao Tamaki First order compiler: a deterministic logic program synthesis algorithm . . . 605--628 (or 605--627??) Tatsuya Hagino Codatatypes in ML . . . . . . . . . . . 629--650 Masami Hagiya Meta-circular Interpreter for a Strongly Typed Language . . . . . . . . . . . . . 651--680 Sato Hiroyuki E-CCC: between CCC and topos --- its expressive power from the viewpoint of data type theory . . . . . . . . . . . . 681--695
A. Kandri-Rody and V. Weispfenning Non-commutative Gröbner bases in algebras of solvable type . . . . . . . . . . . . 1--26 Gilles Labonté An algorithm for the construction of matrix representations for finitely presented non-commutative algebras . . . 27--38 H. W. Gollan and T. W. Ostermann Operation of Class Sums on Permutation Modules . . . . . . . . . . . . . . . . 39--48 (or 39--47??) Manuel Bronstein The transcendental Risch differential equation . . . . . . . . . . . . . . . . 49--60 H. Caprasse Renormalization Group, Function Iterations and Computer Algebra . . . . 61--72 S. A. Fulling The Analytic Approach to Recursion Relations . . . . . . . . . . . . . . . 73--86 (or 73--85??) Man Kam Kwong and Mary Beth Dever Computer-aided study of a problem in Hermitian matrix theory . . . . . . . . 87--112
D. Lazard and R. Rioboo Integration of rational functions: rational computation of the logarithmic part . . . . . . . . . . . . . . . . . . 113--116 (or 113--115??) Manuel Bronstein Integration of Elementary Functions . . 117--174 (or 117--173??) Joachim von zur Gathen Inversion in Finite Fields Using Logarithmic Depth . . . . . . . . . . . 175--184 (or 175--183??) Alex Kean and George Tsiknis An incremental method for generating prime implicants/implicates . . . . . . 185--206 Moshe Eisenberger Application of Symbolic Algebra to the Analysis of Plates on Variable Elastic Foundation . . . . . . . . . . . . . . . 207--214 (or 207--213??) N. G. Lloyd and J. M. Pearson REDUCE and the Bifurcation of Limit Cycles . . . . . . . . . . . . . . . . . 215--224
B. Buchberger and E. Kaltofen Special Issue: Computational Algebraic Complexity---Editorial . . . . . . . . . 225--228 Eric Bach and Victor Shoup Factoring Polynomials Using Fewer Random Bits . . . . . . . . . . . . . . . . . . 229--240 (or 229--239??) John Canny Generalised Characteristic Polynomials 241--250 Don Coppersmith and Shmuel Winograd Matrix Multiplication via Arithmetic Progressions . . . . . . . . . . . . . . 251--280 Joachim von zur Gathen Functional Decomposition of Polynomials: The Tame Case . . . . . . . . . . . . . 281--300 (or 281--299??) Erich Kaltofen and Barry M. Trager Computing with Polynomials Given by Black Boxes for Their Evaluations: Greatest Common Divisors, Factorization, Separation of Numerators and Denominators . . . . . . . . . . . . . . 300--320 (or 301--320??) Erich Kaltofen Errata to: ``Fast parallel absolute irreducibility testing'' [J.\ Symbolic Comput. \bf 1 (1985), no. 1, 57--67, MR 87b:12002] . . . . . . . . . . . . . . . 320--320 Heinrich Rolletschek Shortest Division Chains in Imaginary Quadratic Number Fields . . . . . . . . 321--354 Lajos Rónyai Computing the Structure of Finite Algebras . . . . . . . . . . . . . . . . 355--374 (or 355--373??) Richard Zippel Interpolating Polynomials from Their Values . . . . . . . . . . . . . . . . . 375--403
Takis Sakkalis and Rida Farouki Singular Points of Algebraic Curves . . 405--422 (or 405--421??) Hantao Zhang Automated Proof of Ring Commutativity Problems by Algebraic Methods . . . . . 423--428 (or 423--427??) Keju Ma and Joachim von zur Gathen Analysis of Euclidean Algorithms for Polynomials over Finite Fields . . . . . 429--456 (or 429--455??) Oliver Günther Minimum $K$-Partitioning of Rectilinear Polygons . . . . . . . . . . . . . . . . 457--484 (or 457--483??) R. Ramesh and I. V. Ramakrishnan Parallel Tree Pattern Matching . . . . . 485--502 (or 485--501??) R. M. Corless and D. J. Jeffrey Solution of a hydrodynamic lubrication problem with Maple . . . . . . . . . . . 503--514 (or 503--513??) Stuart B. Savage Symbolic Computation of the Flow of Granular Avalanches . . . . . . . . . . 515--530
S. B. Conlon Calculating characters of $p$-groups . . 535--550 S. B. Conlon Computing Modular and Projective Character Degrees of Soluble Groups . . 551--570 Gerhard O. Michler Some Problems in Computational Representation Theory . . . . . . . . . 571--582 R. A. Parker and R. A. Wilson The Computer Construction of Matrix Representations of Finite Groups over Finite Fields . . . . . . . . . . . . . 583--590 A. J. E. Ryba Computer condensation of modular representations . . . . . . . . . . . . 591--600 Gerhard J. A. Schneider Dixon's Character Table Algorithm Revisited . . . . . . . . . . . . . . . 601--606 (or 600--606??) Gerhard J. A. Schneider Computing with Endomorphism Rings of Modular Representations . . . . . . . . 607--636 S. P. Glasby and Michael C. Slattery Computing Intersections and Normalizers in Soluble Groups . . . . . . . . . . . 637--652 (or 637--651??) George Havas and M. F. Newman and M. R. Vaughan-Lee A Nilpotent Quotient Algorithm for Graded Lie Rings . . . . . . . . . . . . 653--664 C. R. Leedham-Green and L. H. Soicher Collection from the left and other strategies . . . . . . . . . . . . . . . 665--676 (or 665--675??) E. A. O'Brien The $p$-Group Generation Algorithm . . . 677--698 Charles C. Sims Computing the Order of a Solvable Permutation Group . . . . . . . . . . . 699--706 (or 699--705??) Charles C. Sims Implementing the Baumslag-Cannonito-Miller Polycyclic Quotient Algorithm . . . . . . . . . . . 707--724 (or 707--723??) M. R. Vaughan-Lee Collection From the Left . . . . . . . . 725--733
Jean-Jacques J. Risler and Felice Ronga Testing Polynomials . . . . . . . . . . 1--5 D. Yu. Grigor\cprimeev Complexity of Factoring and Calculating the GCD of Linear Ordinary Differential Operators . . . . . . . . . . . . . . . 7--37 Marie-Françoise F. Roy and Aviva Szpirglas Complexity of Computation on Real Algebraic Numbers . . . . . . . . . . . 39--52 (or 39--51??) G. H. Norton On the Asymptotic Analysis of the Euclidean Algorithm . . . . . . . . . . 53--58 Michael F. Singer Formal Solutions of Differential Equations . . . . . . . . . . . . . . . 59--94
Daniel Ratner and Manfred Warmuth The $ (n^2 - 1) $-puzzle and related relocation problems . . . . . . . . . . 111--137 (or 111--136??) S. Cabay and P. Kossowski Power series remainder sequences and Padé fractions over an integral domain . . . 138--164 (or 139--163??) Thomas Becker Standard Bases and Some Computations in Rings of Power Series . . . . . . . . . 165--178 T. Deprit and E. Deprit Processing Poisson Series in Parallel 179--202 (or 179--201??) V. P. Gerdt and A. Yu. Zharkov Computer Classification of Integrable Coupled KdV-like Systems . . . . . . . . 203--208 (or 203--207??) Aik-Koan K. Heng Some Remarks On Numerical Iterations in a Symbolic Manipulation System . . . . . 209--221
P. Alevizos and J. D. Boissonnat and M. Yvinec Non Convex Contour Reconstruction . . . 225--252 Ketan Mulmuley A Fast Planar Partition Algorithm, I . . 253--280 Bernard Chazelle and Micha Sharir An Algorithm for Generalized Point Location and its Applications . . . . . 281--310 (or 281--309??) David Avis and Hiroshi Imai Locating a Robot with Angle Measurements 311--326 Nimrod Megiddo On the Complexity of Some Geometric Problems in Unbounded Dimension . . . . 327--334 H. Edelsbrunner and F. P. Preparata and D. B. West Tetrahedrizing Point Sets in Three Dimensions . . . . . . . . . . . . . . . 335--348 (or 335--347??) Chee-Keng K. Yap Symbolic Treatment of Geometric Degeneracies . . . . . . . . . . . . . . 349--370 Jacob T. Schwartz and Micha Sharir On the two-dimensional Davenport--Schinzel problem . . . . . . 371--393
V. Weispfenning The Complexity of Almost Linear Diophantine Problems . . . . . . . . . . 395--404 (or 395--403??) F. Cucker and M. F. Roy A Theorem on Random Polynomials and Some Consequences in Average Complexity . . . 405--410 (or 405--409??) H. B. Hunt III and R. E. Stearns The Complexity of Equivalence for Commutative Rings . . . . . . . . . . . 411--436 Joachim von zur Gathen Functional Decomposition of Polynomials: The Wild Case . . . . . . . . . . . . . 437--452 Marie-Hél\`ene H. Mathieu and David Ford On $p$-adic Computation of the Rational Form of a Matrix . . . . . . . . . . . . 453--464 P. Beckmann and J. Stückrad The Concept of Gröbner Algebras . . . . . 465--479 (or 465--480??) Gerard Lallement and Robert McFadden On the Determination of Green's Relations in Finite Transformation Semigroups . . . . . . . . . . . . . . . 481--498 Glen C. Nielsen and Mark O. McLinden and Graham Morrison Use of Computer Algebra to Locate Critical Loci in Fluid Mixtures . . . . 499--508 N. Vira and T. Gill and E. Tunstel Application of Symbolic Computation in Robot Pose Error Modeling . . . . . . . 509--524 (or 509--523??) M. D. Abouzahra and R. Pavelle Computer algebra applied to radiation from microstrip discontinuities . . . . 525--528 D. Kozen and S. Landau Errata: ``Polynomial decomposition algorithms'' [J. Symbolic Comput.\ \bf 7 (1989), no. 5, 445--456, MR 91c:13022] 529--529
Norbert Klingen Leopoldt's conjecture for imaginary Galois number fields . . . . . . . . . . 531--546 (or 531--545??) Joachim von zur Gathen and Mark Giesbrecht Constructing Normal Bases in Finite Fields . . . . . . . . . . . . . . . . . 547--570 Gert Almkvist and Doron Zeilberger The Method of Differentiating under the Integral Sign . . . . . . . . . . . . . 571--592 (or 571--591??) Jeffrey Shallit On the Worst Case of Three Algorithms for Computing the Jacobi Symbol . . . . 593--610 John Shackell Growth estimates for Exp-log functions 611--632 Walter Nef and Peter-Michael M. Schmidt Computing a Sweeping-plane in Regular (``General'') Position: a Numerical and a Symbolic Solution . . . . . . . . . . 633--646 Robert A. Wilson The $2$- and $3$-modular characters of $ J_3$, its covering group and automorphism group . . . . . . . . . . . 647--657 (or 647--656??) D. I. Hughes Symbolic Computation with Fermions . . . 657--664
John Pais and Gerald E. Peterson Using Forcing to Prove Completeness of Resolution and Paramodulation . . . . . 3--19 (or 3--20??) Michael Rusinowitch Theorem-proving with Resolution and Superposition . . . . . . . . . . . . . 21--50 (or 21--49??) Harald Ganzinger A Completion Procedure for Conditional Equations . . . . . . . . . . . . . . . 51--82 (or 51--81??) Deepak Kapur and Paliath Narendran and Hantao Zhang Automating Inductionless Induction using Test Sets . . . . . . . . . . . . . . . 83--112 (or 83--111??) Emmanuel Kounalis and Michael Rusinowitch On Word Problems in Horn Theories . . . 113--128 (or 113--127??) Rolf Socher On the Relation Between Resolution Based and Completion Based Theorem Proving . . 129--148 (or 129--147??) David A. Plaisted and Richard C. Potter Term Rewriting: Some Experimental Results . . . . . . . . . . . . . . . . 149--180
J. Chazarain and A. Riscos and J. A. Alonso and E. Briales Multi-Valued Logic and Gröbner Bases with Applications to Modal Logic . . . . . . 181--194 Doron Zeilberger The Method of Creative Telescoping . . . 195--204 Andrea Sattler-Klein Elimination of Composite Superpositions May Cause Abortion . . . . . . . . . . . 205--212 (or 205--211??) Graziano Gentili and Michael A. O'Connor Rational Geometry in Space . . . . . . . 213--230 (or 213--229??) Jean C. Piquette A method for symbolic evaluation of indefinite integrals containing special functions or their products . . . . . . 231--250 (or 231--249??) Michael F. Singer Liouvillian Solution of Linear Differential Equations with Liouvillian Coefficients . . . . . . . . . . . . . . 251--274 (or 251--273??) D. A. Diver Modelling Waves with Computer Algebra 275--290 (or 275--289??) H. I. Cohen and J. P. Fitch Uses Made of Computer Algebra in Physics 291--305
Carl G. Ponder Parallel Multiplication and Powering of Polynomials . . . . . . . . . . . . . . 307--320 Alain Laville Comparison of Priority Rules in Pattern Matching and Term Rewriting . . . . . . 321--348 (or 321--347??) H. Comon and D. Lugiez and Ph. Schnoebelen A rewrite-based type discipline for a subset of computer algebra . . . . . . . 349--368 Steven G. Krantz and William H. Paulsen Asymptotic eigenfrequency distributions for the $ {N}$-beam Euler--Bernoulli coupled beam equation with dissipative joints . . . . . . . . . . . . . . . . . 369--418
Neil L. White Multilinear Cayley factorization . . . . 421--438 Bernd Sturmfels and Walter Whiteley On the Synthetic Factorization of Projectively Invariant Polynomials . . . 439--454 (or 439--453??) Jacques Morgenstern Invariant and geometric aspects of algebraic complexity theory. I . . . . . 455--470 (or 455--469??) Tim McMillan and Neil L. White The Dotted Straightening Algorithm . . . 471--482 Michael Clausen Multivariate Polynomials, Standard Tableaux and Representations of Symmetric Groups . . . . . . . . . . . . 483--522 Henry Crapo Invariant Theoretic Methods in Scene Analysis and Structural Mechanics . . . 523--548 Walter Whiteley Invariant Computations for Analytic Projective Geometry . . . . . . . . . . 549--578 Timothy F. Havel Some Examples of the Use of Distances as Coordinates for Euclidean Geometry . . . 579--594 (or 579--593??) Bernd Sturmfels Computational Algebraic Geometry of Projective Configurations . . . . . . . 595--618
Chee-K. K. Yap A New Lower Bound Construction for the Word Problem for Commutative Thue Systems . . . . . . . . . . . . . . . . 1--28 (or 1--27??) Yukihide Takayama Extraction of Redundancy-free Programs from Constructive Natural Deduction Proofs . . . . . . . . . . . . . . . . . 29--70 (or 29--69??) Larry A. Lambe Resolutions via homological perturbation 71--88 (or 71--87??) Marc Garbey and Hans G. Kaper and Gary K. Leaf and Bernard J. Matkowsky Using MAPLE for the Analysis of Bifurcation Phenomena in Condensed-Phase Surface Combustion . . . . . . . . . . . 89--114 (or 89--113??) Nour Eddine Oussous Macsyma Computation of Local Minimal Realization of Dynamical Systems of which Generating Power Series are Finite 115--126
Daniel Richardson Wu's method and the Khovanski\uì finiteness theorem . . . . . . . . . . . 127--142 (or 127--141??) H. M. M. ten Eikelder and J. C. F. Wilmont Normal Forms for a Class of Formulas . . 143--160 Jan Willem Klop and Aart Middeldorp Sequentiality in Orthogonal Term Rewriting Systems . . . . . . . . . . . 161--196 (or 161--195??) J. M. Champarnaud and G. Hansel AUTOMATE, a Computing Package for Automata and Finite Semigroups . . . . . 197--220 P. Pasini and F. Semeria and C. Zannoni Symbolic Computation of Orientational Correlation Function Moments . . . . . . 221--231 (or 221--232??) Dong Ming Wang Mechanical Manipulation for a Class of Differential Systems . . . . . . . . . . 233--254
Friedrich Otto When is an Extension of a Specification Consistent? Decidable and Undecidable Cases . . . . . . . . . . . . . . . . . 255--274 (or 255--273??) B. Schend A Methodology for Detecting Shared Variable Dependencies in Logic Programs 275--298 George E. Collins and Hoon Hong Partial Cylindrical Algebraic Decomposition for Quantifier Elimination 299--328 Göran Björck and Ralf Fröberg A Faster Way to Count the Solution of Inhomogeneous Systems of Algebraic Equations, with Applications to Cyclic $n$-Roots . . . . . . . . . . . . . . . 329--336 Carl Jacobsson and Clas Löfwall Standard Bases for General Coefficient Rings and a New Constructive Proof of Hilbert's Basis Theorem . . . . . . . . 337--372 (or 337--371??) V. Sailer and G. Morales-Luna On the Polynomial Representation of Generalized Liouville Operators . . . . 373--380 (or 373--379??) Waldir L. Roque and Renato P. dos Santos Computer Algebra in Spacetime Embedding 381--389
D. B. A. Epstein and D. F. Holt and S. E. Rees The Use of Knuth--Bendix Methods to Solve the Word Problem in Automatic Groups . . . . . . . . . . . . . . . . . 397--414 Stephen A. Linton Double Coset Enumeration . . . . . . . . 415--426 S. A. Linton Constructing Matrix Representations of Finitely Presented Groups . . . . . . . 427--438 Charles C. Sims The Knuth--Bendix Procedure for Strings as a Substitute for Coset Enumeration 439--442 Gregory Butler and John Cannon Computing Sylow Subgroups of Permutation Groups Using Homomorphic Images of Centralizers . . . . . . . . . . . . . . 443--458 (or 443--457??) P. J. Cameron and J. Cannon Fast Recognition of Doubly Transitive Groups . . . . . . . . . . . . . . . . . 459--474 Gene Cooperman and Larry Finkelstein A strong generating test and short presentations for permutation groups . . 475--498 (or 475--497??) D. F. Holt The Computation of Normalizers in Permutation Groups . . . . . . . . . . . 499--516 William M. Kantor Finding composition factors of permutation groups of degree $ n \leq 10^6 $ . . . . . . . . . . . . . . . . . 517--526 Charles R. Leedham-Green and Cheryl E. Praeger and Leonard H. Soicher Computing with Group Homomorphisms . . . 527--532 Jeffrey S. Leon Permutation Group Algorithms Based on Partitions, I: Theory and Algorithms . . 533--583
W. Herfort and H. Penz A new notion of reduction: generating universal Gröbner bases of ideals in $ K(x, y) $ . . . . . . . . . . . . . . . 585--606 (or 585--605??) J. Rafael Sendra and Franz Winkler Symbolic Parametrization of Curves . . . 607--632 (or 607--631??) Tobias Nipkow Combining Matching Algorithms: The Regular Case . . . . . . . . . . . . . . 633--654 (or 633--653??) David Hartley and Robin W. Tucker A constructive implementation of the Cartan--Kähler theory of exterior differential systems . . . . . . . . . . 655--668 (or 655--667??) Robert J. Yamartino and Richard Pavelle An Application of Computer Algebra to a Problem in Stratified Fluid Flow . . . . 669--672 Kurt Bernardo Wolf and Guillermo Krötzsch Group-classified polynomials of phase space in higher-order aberration expansions . . . . . . . . . . . . . . . 673--694 (or 673--693??) Carl M. Andersen and James F. Geer Investigating a hybrid perturbation-Galerkin technique using computer algebra . . . . . . . . . . . . 695--714
Jean-Louis L. Lassez and Ken McAloon A canonical form for generalized linear constraints . . . . . . . . . . . . . . 1--24 J. Rafael Sendra and Juan Llovet An Extended Polynomial GCD Algorithm using Hankel Matrices . . . . . . . . . 25--40 (or 25--39??) Susan Landau A Note on ``Zippel Denesting'' . . . . . 41--46 (or 41--45??) Michael B. Monagan A Heuristic Irreducibility Test for Univariate Polynomials . . . . . . . . . 47--58 (or 47--57??) R. D. Mills Slope Retention Techniques for Solving Boundary-Value Problems in Differential Equations . . . . . . . . . . . . . . . 59--80 Ursula Martin and Michael Lai Some Experiments with a Completion Theorem Prover . . . . . . . . . . . . . 81--100 R. G. Cowell Application of Ordered Standard Bases to Catastrophe Theory . . . . . . . . . . . 101--115
D. Lazard Solving Zero-Dimensional Algebraic Systems . . . . . . . . . . . . . . . . 117--132 (or 117--131??) Patrick Fitzpatrick and John Flynn A Gröbner Basis Technique for Padé Approximation . . . . . . . . . . . . . 133--138 Nikolaj N. Vorobjov, Jr. The Complexity of Deciding Consistency of Systems of Polynomials in Exponent Inequalities . . . . . . . . . . . . . . 139--173 (or 139--174??) Stanley Burris Discriminator Varieties and Symbolic Computation . . . . . . . . . . . . . . 175--208 (or 175--207??) Matthew Dickerson The Inverse of an Automorphism in Polynomial Time . . . . . . . . . . . . 209--220 W. A. Beyer and L. R. Fawcett and L. P. Harten and B. K. Swartz The Volume Common to Two Congruent Circular Cylinders . . . . . . . . . . . 221--230
D. Lazard A Note on Upper Bounds for Ideal-Theoretic Problems . . . . . . . . 231--234 (or 231--233??) Peter W. O'Hearn and Zbigniew Stachniak A Resolution Framework for Finitely-valued First-order Logics . . . 235--254 James Renegar On the Computational Complexity and Geometry of the First-Order Theory of the Reals, Part I: Introduction. Preliminaries. The Geometry of Semi-Algebraic Sets. The Decision Problem for the Existential Theory of the Reals . . . . . . . . . . . . . . . 255--299 (or 255--300??) James Renegar On the Computational Complexity and Geometry of the First-Order Theory of the Reals, Part II: The General Decision Problem. Preliminaries for Quantifier Elimination . . . . . . . . . . . . . . 301--328 (or 301--327??) James Renegar On the Computational Complexity and Geometry of the First-order Theory of the Reals. Part III: Quantifier Elimination . . . . . . . . . . . . . . 329--352
William Y. Sit An Algorithm for Solving Parametric Linear Systems . . . . . . . . . . . . . 353--394 Tateaki Sasaki and Masayuki Suzuki Three New Algorithms for Multivariate Polynomial GCD . . . . . . . . . . . . . 395--412 (or 395--411??) Manuel Bronstein On Solutions of Linear Ordinary Differential Equations in Their Coefficient Field . . . . . . . . . . . 413--440 (or 413--439??) Jochen Dörre and William C. Rounds On Subsumption and Semiunification in Feature Algebras . . . . . . . . . . . . 441--461
Bernard Beauzamy Products of Polynomials and a Priori Estimates for Coefficients in Polynomial Decompositions: a Sharp Result . . . . . 463--472 William W. Adams and Ann K. Boyle Some results on Gröbner bases over commutative rings . . . . . . . . . . . 473--484 Dinesh Manocha and John F. Canny Implicit Representation of Rational Parametric Surfaces . . . . . . . . . . 485--510 Robert Grossman and Richard G. Larson Symbolic Computation of Derivations Using Labelled Trees . . . . . . . . . . 511--524 (or 511--523??) Paul H. Knowles Integration of a Class of Transcendental Liouvillian Functions with Error-Functions, Part I . . . . . . . . 525--544 (or 525--543??) Richard J. Fateman A Review of Mathematica . . . . . . . . 545--579
Wolfram Koepf Power Series in Computer Algebra . . . . 581--604 (or 581--603??) Maurice Mignotte On the Product of the Largest Roots of a Polynomial . . . . . . . . . . . . . . . 605--612 (or 605--611??) Ricardo Caferra and Nicolas Zabel A Method for Simultaneous Search for Refutations and Models by Equational Constraint Solving . . . . . . . . . . . 613--642 (or 613--641??) J. E. F. Guimaraes and G. R. Heppler and S. R. Czapor On the Derivation and Reduction of $ C^1 $ Trigonometric Basis Functions Using Maple . . . . . . . . . . . . . . . . . 643--676 (or 643--675??) Yeow Meng Chee On Graphical Quintuple Systems . . . . . 677--682 (or 677--681??) W. Sarlet and J. Vanden Bonne REDUCE-Procedures for the Study of Adjoint Symmetries of Second-Order Differential Equations . . . . . . . . . 683--693
Volker Weispfenning Comprehensive Gröbner Bases . . . . . . . 1--30 (or 1--29??) Dave Bayer and Mike Stillman Computation of Hilbert Functions . . . . 31--50 Mohamed Adi and Claude Kirchner AC-Unification Race: The System Solving Approach, Implementation and Benchmarks 51--70 Robert Harper Constructing Type Systems over an Operational Semantics . . . . . . . . . 71--84 Volker Dietrich ELISE, an Algorithm to Compute Asymptotic Representations for Solutions of Linear Differential Equations, Realized with the Computer Algebra System MAPLE . . . . . . . . . . . . . . 85--92 J. Richardson The Blockhandler and the Bitfield package . . . . . . . . . . . . . . . . 93--102 (or 93--101??) John Carminati and John S. Devitt and Greg J. Fee Isogroups of Differential Equations Using Algebraic Computing . . . . . . . 103--120
B. Buchberger Special Issue of JSC on ``Symbolic Computation in Combinatorics'' --- Foreward of the Editor-in-Chief . . . . 121--122 P. Paule and D. Zeilberger Special Issue of JSC on ``Symbolic Computation in Combinatorics'' --- Foreward of the Guest Editors . . . . . 123--126 François Bergeron and Nantel Bergeron Symbolic Manipulation for the Study of the Descent Algebra of Finite Coxeter Groups . . . . . . . . . . . . . . . . . 127--140 (or 127--139??) Frank G. Garvan and Gaston H. Gonnet A proof of the two parameter $q$-cases of the Macdonald-Morris constant term root system conjecture for $ {S}({F}_4)$ and $ {S}({F}_4)^\vee $ via Zeilberger's method . . . . . . . . . . . . . . . . . 141--178 (or 141--177??) Ira M. Gessel Super Ballot Numbers . . . . . . . . . . 179--194 Adalbert Kerber and Axel Kohnert and Alain Lascoux SYMMETRICA, an Object Oriented Computer-Algebra System for the Symmetric Group . . . . . . . . . . . . 195--204 (or 195--203??) Axel Kohnert Schubert Polynomials and Skew Schur Functions . . . . . . . . . . . . . . . 205--210 Gilbert Labelle Counting Asymmetric Enriched Trees . . . 211--242 Marko Petkov\vsek Hypergeometric Solutions of Linear Recurrences with Polynomial Coefficients 243--264 Nobuki Takayama An Approach to the Zero Recognition Problem by Buchberger Algorithm . . . . 265--282
Thierry Boy de la Tour An Optimality Result for Clause Form Translation . . . . . . . . . . . . . . 283--302 (or 283--301??) Daniel J. Dougherty and Patricia Johann An improved general $ {E}$-unification method . . . . . . . . . . . . . . . . . 303--320 Dale Miller Unification Under a Mixed Prefix . . . . 321--358 Louxin Zhang Some Properties of Finite Special String-Rewriting Systems . . . . . . . . 359--370 (or 359--369??) George F. McNulty A Field Guide to Equational Logic . . . 371--398 (or 371--397??) Kazuhiro Yokoyama and Masayuki Noro and Taku Takeshima Solutions of Systems of Algebraic Equations and Linear Maps on Residue Class Rings . . . . . . . . . . . . . . 399--417
Pierre Lescanne Well Rewrite Orderings and Well Quasi-Orderings . . . . . . . . . . . . 419--436 (or 419--435??) Ralf Treinen A New Method for Undecidability Proofs of First Order Theories . . . . . . . . 437--458 (or 437--457??) Xiao Shan Gao and Shang-Ching Chou Implicitization of Rational Parametric Equations . . . . . . . . . . . . . . . 459--470 Franz Pauer On Lucky Ideals for Gröbner Basis Computations . . . . . . . . . . . . . . 471--482 Elizabeth W. Rutman Gröbner Bases and Primary Decomposition of Modules . . . . . . . . . . . . . . . 483--504 (or 483--503??) Ba Zhong Shen Solving a Congruence on a Graded Algebra by a Subresultant Sequence and its Application . . . . . . . . . . . . . . 505--522 Christine Barbier and Peter Bettess and Jacqueline A. Bettess Automatic Generation of Mapping Functions for Infinite Elements Using REDUCE . . . . . . . . . . . . . . . . . 523--534
Eric Domenjoud AC Unification Through Order-Sorted AC1 Unification . . . . . . . . . . . . . . 537--556 Josef Schicho On the Choice of Pencils in the Parametrization of Curves . . . . . . . 557--576 Etienne Paul A General Refutational Completeness Result for an Inference Procedure Based on Associative --- Commutative Unification . . . . . . . . . . . . . . 577--618 Daniel Richardson Computing the Topology of a Bounded Non-Algebraic Curve in the Plane . . . . 619--644 (or 619--643??) David Berque and Ronald Cecchini and Mark Goldberg and Reid Rivenburgh The Set Player System for Symbolic Computation on Power Sets . . . . . . . 645--662
Laurence Puel and Ascánder Suárez Compiling Pattern Matching by Term Decomposition . . . . . . . . . . . . . 1--26 G. Sidebottom Implementing CLP(IB) using the connection theorem proving method and a clause management system . . . . . . . . 27--48 W. W. Adams and A. Boyle and P. Loustaunau Transitivity for Weak and Strong Gröbner Bases . . . . . . . . . . . . . . . . . 49--66 (or 49--65??) Stanley Burris and John Lawrence The Equivalence Problem for Finite Rings 67--72 (or 67--71??) D. M. Klimov and V. V. Leonov and V. M. Rudenko The study of motion for a gyroscope with gimbal suspension: obtaining the highest approximations for a drift of Magnus . . 73--78 J. P. Bennett and M. Grinfeld and J. Hubble Computer Algebra Techniques in Affinity Binding Equations: the Dimer Case . . . 79--84 (or 79--83??) A. Yu. Zharkov Computer Classification of the Integrable Coupled Kdv-like Systems with Unit Main Matrix . . . . . . . . . . . . 85--90 Harry S. D. Mills Symbolically precise solutions to a homogeneous second order matrix ordinary differential equation with Macsyma . . . 91--98
Dinesh Manocha and John F. Canny MultiPolynomial Resultant Algorithms . . 99--122 Hirokazu Murao and Hidetsune Kobayashi and Tetsuro Fujise On factorizing the symbolic $ {U}$-resultant---application of the $ {\rm ddet}$ operator . . . . . . . . . . 123--142 Michael Kalkbrener A Generalized Euclidean Algorithm for Computing Triangular Representations of Algebraic Varieties . . . . . . . . . . 143--168 (or 143--167??) Tudor Jebelean An Algorithm for Exact Division . . . . 169--180 Carla Limongelli On an Efficient Algorithm for Big Rational Number Computations by Parallel $p$-adics . . . . . . . . . . . . . . . 181--198 (or 181--197??) Hans-Gert Gräbe On Lucky Primes . . . . . . . . . . . . 199--210 (or 199--209??) Martin Wursthorn Isomorphisms of modular group algebras: An algorithm and its application to groups of order $ 2^6 $ . . . . . . . . 211--228 (or 211--227??) Greg Butler and John J. Cannon On Holt's Algorithm . . . . . . . . . . 229--234 (or 229--233??) Satish R. Thatte Finite Acyclic Theories are Unitary . . 235--249
Thomas Becker Standard Bases in Power Series Rings: Uniqueness and Superfluous Critical Pairs . . . . . . . . . . . . . . . . . 251--266 (or 251--265??) Elizabeth W. Rutman Primary Decomposition of Modules: Two Variables over a Field . . . . . . . . . 267--276 (or 267--275??) Thomas W. Dubé A Combinatorial Proof of the Effective Nullstellensatz . . . . . . . . . . . . 277--296 Frank Lippok On the Representation of 1 by Binary Cubic Forms of Positive Discriminant . . 297--314 (or 297--313??) Jesse Ira Deutsch Identities arising from Hecke transformations of modular forms over $ {\bf Q}(\sqrt {2}) $ and $ {\bf Q}(\sqrt {3}) $ . . . . . . . . . . . . . . . . . 315--324 (or 315--323??) Robert A. Wilson The Brauer tree for $ {J}_3 $ in characteristic $ 17 $ . . . . . . . . . 325--330 Aart Middeldorp and Yoshihito Toyama Completeness of Combinations of Constructor Systems . . . . . . . . . . 331--348 Rongdong Wang and Peng-yung Woo Automatic computation of $z$- & inverse $z$-transformations by Maple . . . . . . 349--363 François Bergeron Surprising Mathematics Using a Computer Algebra System . . . . . . . . . . . . . 365--370
Guy Viry Factorization of Multivariate Polynomials with Coefficients in $ {\bf F}_p $ . . . . . . . . . . . . . . . . . 371--392 (or 371--391??) Bernard Beauzamy and Vilmar Trevisan and Paul S. Wang Polynomial Factorization: Sharp Bounds, Efficient Algorithms . . . . . . . . . . 393--414 (or 393--413??) Wayne Snyder A Fast Algorithm for Generating Reduced Ground Rewriting Systems from a Set of Ground Equations . . . . . . . . . . . . 415--450 C. N. Zhang and B. Shirazi and D. Y. Y. Yun An Efficient Algorithm and Parallel Implementations for Binary and Residue Number Systems . . . . . . . . . . . . . 451--462
W. Bibel and A. W. Biermann Special Issue: Automatic Programming --- Foreword of the Guest Editors . . . . . 463--466 Nachum Dershowitz and Uday S. Reddy Deductive and Inductive Synthesis of Equational Programs . . . . . . . . . . 467--494 Dmitri Boulanger and Maurice Bruynooghe Deriving Fold/Unfold Transformations of Logic Programs Using Extended OLDT-Based Abstract Interpretation . . . . . . . . 495--522 (or 495--521??) A. van Deursen and P. Klint and F. Tip Origin Tracking . . . . . . . . . . . . 523--546 (or 523--545??) Philippe Clauss and Catherine Mongenet Synthesis Aspects in the Design of Efficient Processor Arrays from Affine Recurrence Equations . . . . . . . . . . 547--570 (or 547--569??) Douglas R. Smith Constructing Specification Morphisms . . 571--606 Christine Paulin-Mohring and Benjamin Werner Synthesis of ML Programs in the System Coq . . . . . . . . . . . . . . . . . . 607--640 Yukihide Takayama $ {\rm QPC}_2 $: a constructive calculus with parameterized specifications . . . 641--672 Eugenio G. Omodeo and Franco Parlamento and Alberto Policriti A Derived Algorithm for Evaluating, $ \epsilon $-Expressions over Abstract Sets . . . . . . . . . . . . . . . . . . 673--704 Ritu Chadha and David A. Plaisted On the Mechanical Derivation of Loop Invariants . . . . . . . . . . . . . . . 705--744 N. Dershowitz and Y.-L. Lee Logical Debugging . . . . . . . . . . . 745--774 (or 745--773??) Pierre Flener and Yves Deville Logic Program Synthesis from Incomplete Specifications . . . . . . . . . . . . . 775--806 (or 775--805??) Amr F. Fahmy and Alan W. Biermann Synthesis of Real Time Acceptors . . . . 807--842
M. Ph. Saux Picart Schur--Cohn Sub-Transforms of a Polynomial . . . . . . . . . . . . . . . 1--8 (or 1--7??) Michael F. Singer and Felix Ulmer Galois Groups of Second and Third Order Linear Differential Equations . . . . . 9--36 Michael F. Singer and Felix Ulmer Liouvillian and Algebraic Solutions of Second and Third Order Linear Differential Equations . . . . . . . . . 37--74 (or 37--73??) M. Kalkbrener and M. Sweedler and L. Taylor Low Degree Solutions to Linear Equations with $ K(x) $ Coefficients . . . . . . . 75--81
Dong Ming Wang An Elimination Method for Polynomial Systems . . . . . . . . . . . . . . . . 83--114 David W. Boyd Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: I. The Largest Factor . . . . . . . . . 115--130 David W. Boyd Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: II. The Smallest Factor . . . . . . . . 131--145 G. E. Andrews and P. Paule Some Questions Concerning Computer-Generated Proofs of a Binomial Double-Sum Identity . . . . . . . . . . 147--154 (or 147--153??) Peter Schorn An Axiomatic Approach to Robust Geometric Programs . . . . . . . . . . . 155--166 (or 155--165??) Klaus Madlener and Andrea Sattler-Klein and Friedrich Otto On the Problem of Generating Small Convergent Systems . . . . . . . . . . . 167--188 (or 167--187??) T. Torgersen Parallel Scheduling of Recursively Defined Arrays: Revisited . . . . . . . 189--226
Paul H. Knowles Integration of a Class of Transcendental Liouvillian Functions with Error-Functions, Part II . . . . . . . . 227--242 (or 227--241??) Petr Lison\vek and Peter Paule and Volker Strehl Improvement of the Degree Setting in Gosper's Algorithm . . . . . . . . . . . 243--258 J. H. Rieger Computing View Graphs of Algebraic Surfaces . . . . . . . . . . . . . . . . 259--272 Alyson Reeves and Bernd Sturmfels A Note on Polynomial Reduction . . . . . 273--278 (or 273--277??) Ralph Freese and J. Je\vzek and J. B. Nation Term Rewrite Systems for Lattice Theory 279--288 Irvin Roy Hentzel and David P. Jacobs and Sekhar V. Muddana Experimenting with the Identity $ (x y)z = y(z x) $ . . . . . . . . . . . . . . . 289--294 (or 289--293??) István Gaál On the Resolution of $ {F}(x, y) = {G}(x, y) $ . . . . . . . . . . . . . . 295--304 (or 295--303??) E. A. O'Brien Isomorphism Testing for $p$-Groups . . . 305--320
István Gaál A Fast Algorithm for Finding ``Small'' Solutions of $ F(x, y) = G(x, y) $ over Imaginary Quadratic Fields . . . . . . . 321--328 J. C. Faugere and P. Gianni and D. Lazard and T. Mora Efficient Computation of Zero-Dimensional Gröbner Bases by Change of Ordering . . . . . . . . . . . . . . 329--344 Michael Vaughan-Lee An Algorithm for Computing Graded Algebras . . . . . . . . . . . . . . . . 345--354 Yiu-Kwong Man On Computing Closed Forms for Indefinite Summations . . . . . . . . . . . . . . . 355--376 John P. Boyd Chebyshev and Legendre Spectral Methods in Algebraic Manipulation Languages . . 377--399
Harald Niederreiter and Rainer Göttfert Factorization of Polynomials over Finite Fields and Characteristic Sequences . . 401--412 Greg Butler The Transitive Groups of Degree Fourteen and Fifteen . . . . . . . . . . . . . . 413--422 Yiu-Kwong Man Computing Closed Form Solutions of First Order ODEs Using the Prelle--Singer Procedure . . . . . . . . . . . . . . . 423--444 (or 423--443??) Peter Baumgartner and Ulrich Furbach Consolution as a Framework for Comparing Calculi . . . . . . . . . . . . . . . . 445--477 Alessandro Berarducci and Marisa Venturini Zilli Generalizations of Unification . . . . . 478--492 (or 479--491??) Evelyne Contejean Solving $ *$-problems modulo distributivity by a reduction to $ {\rm AC}1$-unification . . . . . . . . . . . 493--521
Amnon Rosenmann An Algorithm for Constructing Gröbner and Free Schreier Bases in Free Group Algebras . . . . . . . . . . . . . . . . 523--550 (or 523--549??) Arno van den Essen An algorithm to compute the invariant ring of a $ {\bf G}_a $-action on an affine variety . . . . . . . . . . . . . 551--556 (or 551--555??) David P. Jacobs and Sekhar V. Muddana The Word Problem for Free Partially Commutative, Partially Associative Groupoids . . . . . . . . . . . . . . . 557--562 István Gaál and Attila Pethö and Michael Pohst On the Resolution of Index Form Equations in Quartic Number Fields . . . 563--584 Xiao Shan Gao and Shang-Ching Chou A Zero Structure Theorem for Differential Parametric Systems . . . . 585--596 (or 585--595??) Alexandre Boudet Combining Unification Algorithms . . . . 597--626
Aart Middeldorp Completeness of Combinations of Conditional Constructor Systems . . . . 3--21 H. Zantema Termination of term rewriting: interpretation and type elimination . . 23--50 Claus-Peter Wirth and Bernhard Gramlich A Constructor-Based Approach to Positive/Negative-Conditional Equational Specifications . . . . . . . . . . . . . 51--90 Dieter Hofbauer and Maria Huber Linearizing Term Rewriting Systems Using Test Sets . . . . . . . . . . . . . . . 91--129
E. A. O'Brien Isomorphism Testing for $p$-Groups . . . 133--148 (or 133--147??) Ralf Fröberg and Joachim Hollman Hilbert Series for Ideals Generated by Generic Forms . . . . . . . . . . . . . 149--158 (or 149--157??) Ronald Brown and Andrew Tonks Calculations with Simplicial and Cubical Groups in AXIOM . . . . . . . . . . . . 159--180 (or 159--179??) Alex Kean and George Tsiknis A corrigendum for the optimized-IPIA: ``An incremental method for generating prime implicants/implicates'' [J. Symbolic Comput. \bf 9 (1990), no. 2, 185--206, MR 91h:68071] . . . . . . . . 181--188 (or 181--187??) Hantao Zhang A New Method for the Boolean Ring Based Theorem Proving . . . . . . . . . . . . 189--212 (or 189--211??) I. R. Hentzel and D. P. Jacobs and S. V. Muddana Erratum: ``Experimenting with the identity $ (x y)z = y(z x) $'' [J. Symbolic Comput. 16 (1993), no. 3, 289--293, MR 94i:20101] . . . . . . . . 213--213
Thomas Eiter Exact transversal hypergraphs and application to Boolean $ \mu $-functions 215--226 (or 215--225??) Bruno Salvy Fast Computation of Some Asymptotic Functional Inverses . . . . . . . . . . 227--236 Richard A. Davis Idempotent Computation over Finite Fields . . . . . . . . . . . . . . . . . 237--258 Michel Dehon Classifying Geometries with Cayley . . . 259--276 Maurice Mignotte and Philippe Glesser On the Smallest Divisor of a Polynomial 277--282 V. P. Gusynin and V. V. Kornyak Symbolic Computation of DeWitt-Seeley-Gilkey Coefficients on Curved Manifolds . . . . . . . . . . . . 283--294
K. Mehlhorn and S. Näher and Nievergelt J. Special Issue on Algorithms: Implementation, Libraries and Use---Introduction of the Guest Editors 295 J. Nievergelt Complexity, Algorithms, Programs, Systems: The Shifting Focus . . . . . . 297--310 P. Schorn Evolution of a Software System: Interaction, Interfaces and Applications in the XYZ GeoBench . . . . . . . . . . 311--320 G. Weber and L. Knipping and H. Alt An Application of Point Pattern Matching in Astronautics . . . . . . . . . . . . 321--340 D. Raymond and D. Wood Grail: A C++ Library for Automata and Expressions . . . . . . . . . . . . . . 341--350 Emo Welzl and Barbara Wolfers Surface Reconstruction between Simple Polygons via Angle Criteria . . . . . . 351--369
Victor Shoup Fast Construction of Irreducible Polynomials over Finite Fields . . . . . 371--391 Kim S. Larsen and Michael I. Schwartzbach Injectivity of Composite Functions . . . 393--408 Andrea Lucchini and Federico Menegazzo Computing a Set of Generators of Minimal Cardinality in a Solvable Group . . . . 409--420 Rolf Backofen Regular Path Expressions in Feature Logic . . . . . . . . . . . . . . . . . 421--455 D. J. Herbert Symbolic Local Refinement of Tetrahedral Grids . . . . . . . . . . . . . . . . . 457--472
Jeffrey Shallit and Jonathan Sorenson Analysis of a Left-Shift Binary GCD Algorithm . . . . . . . . . . . . . . . 473--486 Patrick A. Worfolk Zeros of Equivariant Vector Fields: Algorithms for an Invariant Approach . . 487--512 (or 487--511??) Gene Cooperman and Larry Finkelstein A Random Base Change Algorithm for Permutation Groups . . . . . . . . . . . 513--528 Klaus Lux and Jürgen Müller and Michael Ringe Peakword condensation and submodule lattices: an application of the MEAT-AXE 529--544 Kazuhiro Yokoyama and Masayuki Noro and Taku Takeshima Multi-Modular Approach to Polynomial-Time Factorization of Bivariate Integral Polynomials . . . . . 545--563
H. A. Priestley and M. P. Ward A Multipurpose Backtracking Algorithm 1--40 Pierangelo Miglioli and Ugo Moscato and Mario Ornaghi Abstract Parametric Classes and Abstract Data Types defined by Classical and Constructive Logical Methods . . . . . . 41--82 (or 41--81??) Ivo Düntsch A Microcomputer Based System for Small Relation Algebras . . . . . . . . . . . 83--86 Craig R. Orr and Doron Zeilberger A Computer Algebra Approach to the Discrete Dirichlet Problem . . . . . . . 87--90
Robert Cremanns and Friedrich Otto Finite derivation type implies the homological finiteness condition $ {\rm FP}_3 $ . . . . . . . . . . . . . . . . 91--112 Hél\`ene Kirchner and Christophe Ringeissen Combining Symbolic Constraint Solvers on Algebraic Domains . . . . . . . . . . . 113--156 (or 113--155??) Susumu Yamasaki and Kentaro Iida Transformation of Logic Programs to FP Programs Based on Dataflows . . . . . . 157--182
Victor Y. Pan Simple Multivariate Polynomial Multiplication . . . . . . . . . . . . . 183--186 Xiang Dong Wang The Hecke operators on $ {S}_k({\Gamma }_1 ({N})) $ . . . . . . . . . . . . . . 187--198 Klaus Meer Real Number Computations: On the Use of Information . . . . . . . . . . . . . . 199--206 Hiroyuki Sawada and Satoshi Terasaki and Akira Aiba Parallel Computation of Gröbner Bases on Distributed Memory Machines . . . . . . 207--222 Toshinori \=Oaku and Takeshi Shimoyama A Gröbner Basis Method for Modules over Rings of Differential Operators . . . . 223--248 Dong Ming Wang Differentiation and Integration of Indefinite Summations with Respect to Indexed Variables --- Some Rules and Applications . . . . . . . . . . . . . . 249--264 (or 249--263??) M. Sofroniou Symbolic Derivation of Runge--Kutta Methods . . . . . . . . . . . . . . . . 265--296
D. Lugiez and J. L. Moysset Tree automata help one to solve equational formulae in AC-theories . . . 297--318 Iréne Durand Bounded, Strongly Sequential and Forward-Branching Term Rewriting Systems 319--352 Mark van Hoeij An Algorithm for Computing an Integral Basis in an Algebraic Function Field . . 353--364 (or 353--363??) Michael Kalkbrener Prime Decompositions of Radicals in Polynomial Rings . . . . . . . . . . . . 365--372 Freyja Hreinsdóttir A Case Where Choosing a Product Order Makes the Calculations of a Gröbner Basis Much Faster . . . . . . . . . . . . . . 373--378 Maurice Mignotte and Philippe H. Glesser Landau's Inequality via Hadamard's . . . 379--384 (or 379--383??) Felix Ulmer Irreducible Linear Differential Equations of Prime Order . . . . . . . . 385--401
Osami Yamamoto On Some Bounds for Zeros of Norm-Bounded Polynomials . . . . . . . . . . . . . . 403--428 (or 403--427??) Dominique Duval Algebraic Numbers: An Example of Dynamic Evaluation . . . . . . . . . . . . . . . 429--446 (or 429--445??) Abdallah Assi On Flatness of Generic Projections . . . 447--462 Andreas Weiermann Complexity Bounds for Some Finite Forms of Kruskal's Theorem . . . . . . . . . . 463--488 Krzysztof R. Apt and Peter van Emde Boas and Angelo Welling The STO-problem is NP-hard . . . . . . . 489--495
Boo Barkee and Deh Cac Can and Julia Ecks and Theo Moriarty and R. F. Ree Why You Cannot Even Hope to Use Gröbner Bases in Public Key Cryptography: An Open Letter to a Scientist Who Failed and a Challenge to Those Who Have Not Yet Failed . . . . . . . . . . . . . . . 497--502 (or 497--501??) Yonghao Ma On the Minors Defined by a Generic Matrix . . . . . . . . . . . . . . . . . 503--518 Ming-Deh D. Huang and Doug Ierardi Efficient Algorithms for the Riemann--Roch Problem and for Addition in the Jacobian of a Curve . . . . . . . 519--540 (or 519--539??) Alice C. Niemeyer A Finite Soluble Quotient Algorithm . . 541--562 (or 541--561??) John Pedersen and Margaret Yoder Term Rewriting for the Conjugacy Problem and the Braid Groups . . . . . . . . . . 563--572 Luca Gemignani Solving Hankel Systems over the Integers 573--584 Eric Bach Tensor Products and Computability . . . 585--593
Bo Yi and Jia Fu Xu Analogical Type Theory . . . . . . . . . 3--24 Andreas Weber On Coherence in Computer Algebra . . . . 25--38 Paolo Di Blasio and Marco Temperini Subtyping Inheritance and Its Application in Languages for Symbolic Computation Systems . . . . . . . . . . 39--64 (or 39--63??) Anthony C. Hearn and Eberhard Schrüfer A Computer Algebra System Based on Order-Sorted Algebra . . . . . . . . . . 65--79 (or 65--77??) Philip S. Santas A Type System for Computer Algebra . . . 79--110 (or 79--109??) Hoon Hong and Andreas Neubacher and Wolfgang Schreiner The Design of the SACLIB/PACLIB Kernels 111--132 A. C. Norman Compact Delivery Support for REDUCE . . 133--143 (or 133--144??) Tudor Jebelean A Double-Digit Lehmer--Euclid Algorithm for Finding the GCD of Long Integers . . 145--158 (or 145--157??) Robert Fournier and Norbert Kajler and Bernard Mourrain Visualization of Mathematical Surfaces: the IZIC Server Approach . . . . . . . . 159--174 (or 159--173??) Gianna Cioni and Attilio Colagrossi and Alfonso Miola A Sequent Calculus for Automated Reasoning in Symbolic Computation Systems . . . . . . . . . . . . . . . . 175--200 (or 175--199??) William M. Farmer and Joshua D. Guttman and F. Javier Thayer Contexts in Mathematical Reasoning and Computation . . . . . . . . . . . . . . 201--216 R. Caferra and M. Herment A Generic Graphic Framework for Combining Inference Tools and Editing Proofs and Formulae . . . . . . . . . . 217--244 (or 217--243??) Maria Paola Bonacina and Jieh Hsiang Distributed Deduction by Clause-Diffusion: Distributed Contraction and the Aquarius Prover . . 245--268 (or 245--267??) A. Diaz and M. Hitz and E. Kaltofen and A. Lobo and T. Valente Process Scheduling in DSC and the Large Sparse Linear Systems Challenge . . . . 269--282
Manfred Göbel Computing Bases for Rings of Permutation-Invariant Polynomials . . . 285--292 (or 285--291??) D. E. G. Malm and T. N. Subramaniam The Summation of Rational Functions by an Extended Gosper Algorithm . . . . . . 293--304 Alain Poli A deterministic construction of normal bases with complexity $ O(n^3 + n \log n \log (\log n) \log q) $ . . . . . . . . 305--320 (or 305--319??) Robert Nieuwenhuis and Albert Rubio Theorem Proving with Ordering and Equality Constrained Clauses . . . . . . 321--352 (or 321--351??) Matthias Baaz and Christian G. Fermüller Resolution-based Theorem Proving for Many-valued Logics . . . . . . . . . . . 353--391
Hong R. Lee and B. David Saunders Fraction Free Gaussian Elimination for Sparse Matrices . . . . . . . . . . . . 393--402 Alexey Zharkov Coefficient Fields of Solutions in Kovacic's Algorithm . . . . . . . . . . 403--408 Joachim von zur Gathen and Jürgen Weiss Homogeneous Bivariate Decompositions . . 409--434 Ilaria del Corso Factorization of Prime Ideal Extensions in Dedekind Domains . . . . . . . . . . 435--440 (or 435--439??) Joachim Apel A Gröbner Approach to Involutive Bases 441--458 (or 441--457??) S. Carmody and M. Leeming and R. F. C. Walters The Todd--Coxeter Procedure and Left Kan Extensions . . . . . . . . . . . . . . . 459--488 Jaroslav Je\vzek and George F. McNulty Perfect Bases for Equational Theories 489--505
Miguel Filgueiras and Ana Paula Tomás A Fast Method for Finding the Basis of Non-negative Solutions to a Linear Diophantine Equation . . . . . . . . . . 507--526 Cesar Alonso and Jaime Gutierrez and Tomas Recio A rational function decomposition algorithm by near-separated polynomials 527--544 Hans-Gert Gräbe Algorithms in Local Algebra . . . . . . 545--558 (or 545--557??) Peter A. Hendriks and Marius van der Put Galois Action on Solutions of a Differential Equation . . . . . . . . . 559--576 Scott H. Murray and E. A. O'Brien Selecting Base Points for the Schreier-Sims Algorithm for Matrix Groups . . . . . . . . . . . . . . . . . 577--584 Gerhard Hiss and Klaus Lux and Jürgen Müller The $2$-Modular Decomposition Matrices of the Non-Principal Blocks of Maximal Defect of the Triple Cover of the Sporadic Simple McLaughlin Group . . . . 585--600 Stefan Kahrs Confluence of Curried Term-Rewriting Systems . . . . . . . . . . . . . . . . 601--623
Enno Ohlebusch Modular Properties of Composable Term Rewriting Systems . . . . . . . . . . . 1--42 (or 1--41??) Hans Zantema Total Termination of Term Rewriting is Undecidable . . . . . . . . . . . . . . 43--60 István Gaál Computing Elements of Given Index in Totally Complex Cyclic Sextic Fields . . 61--70 (or 61--69??) Graham Norton On $n$-Dimensional Sequences. I . . . . 71--92 Graham Norton On the Minimal Realizations of a Finite Sequence . . . . . . . . . . . . . . . . 93--115
Ioannis Z. Emiris and John F. Canny Efficient Incremental Algorithms for the Sparse Resultant and the Mixed Volume 117--150 (or 117--149??) François Arnault Constructing Carmichael Numbers Which are Strong Pseudoprimes to Several Bases 151--162 (or 151--161??) Günter Czichowski A Note on Gröbner Bases and Integration of Rational Functions . . . . . . . . . 163--168 (or 163--167??) John Shackell and Bruno Salvy Asymptotic Forms and Algebraic Differential Equations . . . . . . . . . 169--178 (or 169--177??) Gernot Haager and Gerd Baumann and Theo F. Nonnenmacher An algorithm to determine potential systems in Mathematica . . . . . . . . . 179--196 David Hartley and Philip Tuckey Gröbner Bases in Clifford and Grassmann Algebras . . . . . . . . . . . . . . . . 197--206 (or 197--205??) B. Curtis Eaves and Uriel G. Rothblum Linear Problems and Linear Algorithms 207--214 Max Dauchet and Anne-Cécile Caron and Jean-Luc Coquidé Automata for Reduction Properties Solving . . . . . . . . . . . . . . . . 215--233
Peter Paule Greatest Factorial Factorization and Symbolic Summation . . . . . . . . . . . 235--268 Gilles Villard Generalized Subresultants for Computing the Smith Normal Form of Polynomial Matrices . . . . . . . . . . . . . . . . 269--286 George E. Collins and Mark J. Encarnación Efficient Rational Number Reconstruction 287--298 (or 287--297??) Mark J. Encarnación Computing GCDs of Polynomials over Algebraic Number Fields . . . . . . . . 299--314 (or 299--313??) Alberto Policriti and Jacob T. Schwartz $ {T}$-theorem proving. I . . . . . . . 315--342 Miki Hermann and Phokion G. Kolaitis The Complexity of Counting Problems in Equational Matching . . . . . . . . . . 343--362
Victor Shoup A New Polynomial Factorization Algorithm and its Implementation . . . . . . . . . 363--398 (or 363--397??) Wolfram Koepf Algorithms for $m$-Fold Hypergeometric Summation . . . . . . . . . . . . . . . 399--418 (or 399--417??) Catherine S. Greenhill Theoretical and Experimental Comparison of Efficiency of Finite Field Extensions 419--430 (or 419--429??) D. Lugiez Positive and Negative Results for Higher-Order Disunification . . . . . . 431--470 Janusz Konieczny Reduced Idempotents in the Semigroup of Boolean Matrices . . . . . . . . . . . . 471--482
P. Paule and V. Strehl Special Issue: Symbolic Computation in Combinatorics $ \Delta_1 $: Foreword of the Guest Editors . . . . . . . . . . . 483--486 George E. Andrews On a Conjecture of Peter Borwein . . . . 487--502 (or 487--501??) M. Delest and J. P. Dubernard and I. Dutour Parallelogram Polyominoes and Corners 503--516 (or 503--515??) Frank G. Garvan Ramanujan's Theories of Elliptic Functions to Alternative Bases --- a Symbolic Excursion . . . . . . . . . . . 517--536 Ira M. Gessel Finding Identities with the WZ Method 537--566 Gilbert Labelle Some Combinatorial Results First Found Using Computer Algebra . . . . . . . . . 567--594 Petr Lison\vek Closed Forms for the Number of Polygon Dissections . . . . . . . . . . . . . . 595--602 (or 595--601??) Roberto Pirastu and Kurt Siegl Parallel computation and indefinite summation: a $ \Vert $MAPLE$ \Vert $ application for the rational case . . . 603--616 Roberto Pirastu and Volker Strehl Rational summation and Gosper--Petkov\vsek representation . . . 617--636 (or 617--635??) Nobuki Takayama An Algorithm for Finding Recurrence Relations of Binomial Sums and its Complexity . . . . . . . . . . . . . . . 637--652 (or 637--651??) Philippe Flajolet and Bruno Salvy Computer Algebra Libraries for Combinatorial Structures . . . . . . . . 653--672 (or 653--671??) Peter Paule and Markus A. Schorn A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities . . . . . . . . . 673--698 Doron Zeilberger Three Recitations on Holonomic Systems and Hypergeometric Series . . . . . . . 699--724 Volker Strehl and Herbert S. Wilf Five Surprisingly Simple Complexities 725--730 (or 725--729??) Herbert S. Wilf The Computer-Aided Discovery of a Theorem about Young Tableaux . . . . . . 731--736 (or 731--735??) C. Krattenthaler HYP and HYPQ: Mathematica packages for the manipulation of binomial sums and hypergeometric series, respectively $q$-binomial sums and basic hypergeometric series . . . . . . . . . 737--744 István Nemes and Marko Petkov\vsek RComp: a \em Mathematica Package for Computing with Recursive Sequences . . . 745--754 (or 745--753??) John R. Stembridge A Maple Package for Symmetric Functions 755--768 Graham Norton Corrigenda: ``On $n$-dimensional sequences. I'' [J. Symbolic Comput.\ 20 (1995), no. 1, 71--92, 1 374 225] . . . 769--770
Chung-Jen Ho and Chee Keng Yap The Habicht Approach to Subresultants 1--14 Richard Kennaway and Jan Willem Klop and Ronan Sleep and Fer-Jan de Vries Comparing Curried and Uncurried Rewriting . . . . . . . . . . . . . . . 15--40 (or 15--39??) Peter Padawitz Inductive Theorem Proving for Design Specifications . . . . . . . . . . . . . 41--100 (or 41--99??) M. Sofroniou Order Stars and Linear Stability Theory 101--131
David Casperson and David Ford and John McKay Ideal Decompositions and Subfields . . . 133--138 (or 133--137??) J. Lyn Miller Analogs of Gröbner Bases in Polynomial Rings over a Ring . . . . . . . . . . . 139--154 (or 139--153??) Franz Pauer and Sandro Zampieri Gröbner Bases with Respect to Generalized Term Orders and their Application to the Modelling Problem . . . . . . . . . . . 155--168 A. G. Helminck Computing $ {B}$-orbits on $ {G} / {H}$ 169--210 (or 169--209??) Franz Baader and Klaus U. Schulz Unification in the Union of Disjoint Equational Theories: Combining Decision Procedures . . . . . . . . . . . . . . . 211--244 (or 211--243??) Nestor E. Sanchez The Method of Multiple Scales: Asymptotic Solutions and Normal Forms for Nonlinear Oscillatory Problems . . . 245--252
Claude Marché Normalized Rewriting: An Alternative to Rewriting Modulo a Set of Equations . . 253--288 Benedetto Intrigila and Marisa Venturini Zilli A Remark on Infinite Matching vs. Infinite Unification . . . . . . . . . . 289--292 Giuseppe Attardi and Tito Flagella Memory Management in the PoSSo Solver 293--312 (or 293--311??) George E. Collins and Mark J. Encarnación Improved Techniques for Factoring Univariate Polynomials . . . . . . . . . 313--328 (or 313--327??) George Fix and Chih-Ping Hsu and Tie Luo Implicitization of Rational Parametric Surfaces . . . . . . . . . . . . . . . . 329--336 Vladimir P. Gerdt and Vladimir V. Kornyak Construction of Finitely Presented Lie Algebras and Superalgebras . . . . . . . 337--350 (or 337--349??) Gregor Kemper Calculating Invariant Rings of Finite Groups over Arbitrary Fields . . . . . . 351--366 Nigel Smart Solving Discriminant Form Equations Via Unit Equations . . . . . . . . . . . . . 367--374
H. Hong Special Issue on Parallel Symbolic Computation: Foreword of the Guest Editor . . . . . . . . . . . . . . . . . 377--377 Hirokazu Murao and Tetsuro Fujise Modular Algorithm for Sparse Multivariate Polynomial Interpolation and its Parallel Implementation . . . . 377--396 Paul S. Wang Parallel Polynomial Operations on SMPs: an Overview . . . . . . . . . . . . . . 397--410 Giuseppe Attardi and Carlo Traverso Strategy-Accurate Parallel Buchberger Algorithms . . . . . . . . . . . . . . . 411--426 (or 411--425??) S. Dalmas and M. Gaetano and A. Sausse A Distributed and Cooperative Environment for Computer Algebra . . . . 427--440 (or 427--439??) Werner Krandick and Tudor Jebelean Bidirectional Exact Integer Division . . 441--456 (or 441--455??) Kenneth Weber Parallel Implementation of the Accelerated Integer GCD Algorithm . . . 457--466 Giovanni Cesari and Roman Maeder Performance Analysis of the Parallel Karatsuba Multiplication Algorithm for Distributed Memory Architectures . . . . 467--474 (or 467--473??) Reinhard Bündgen and Manfred Göbel and Wolfgang Küchlin Strategy Compliant Multi-Threaded Term Completion . . . . . . . . . . . . . . . 475--506 (or 475--505??) Maria Paola Bonacina On the Reconstruction of Proofs in Distributed Theorem Proving: a Modified Clause-Diffusion Method . . . . . . . . 507--522 J. Denzinger and S. Schulz Recording and Analysing Knowledge-Based Distributed Deduction Processes . . . . 523--541 (or 523--542??) Hantao Zhang and Maria Paola Bonacina and Jieh Hsiang PSATO: a Distributed Propositional Prover and its Application to Quasigroup Problems . . . . . . . . . . . . . . . . 543--560 Jonathan M. D. Hill and Keith M. Clarke and Richard Bornat Parallelizing Imperative Functional Programs: the Vectorization Monad . . . 561--576 K. Gladitz and H. Kuchen Shared Memory Implementation of the Gamma-Operation . . . . . . . . . . . . 577--592 (or 577--591??) Wolfgang Schreiner A Para-Functional Programming Interface for a Parallel Computer Algebra Package 593--614 A. Sodan A Semi-Automatic Multiple-Strategy Approach To Mapping Tree-Structured Symbolic Processing Programs . . . . . . 615--634 Jean-Marc Andreoli and Uwe M. Borghoff and Remo Pareschi The Constraint-Based Knowledge Broker Model: Semantics, Implementation and Analysis . . . . . . . . . . . . . . . . 635--668 (or 635--667??) Koen De Bosschere and Jean-Marie Jacquet Extending the $ \mu $Log Framework with Local and Conditional Blackboard Operations . . . . . . . . . . . . . . . 669--698 (or 669--697??) Ho-Fung Leung and Keith L. Clark Constraint Satisfaction in Distributed Concurrent Logic Programming . . . . . . 699--714 P. Lopez and M. Hermenegildo and S. Debray A Methodology for Granularity-Based Control of Parallelism in Logic Programs 715--734
Alexander L. Chistov Polynomial-Time Computation of the Dimension of Algebraic Varieties in Zero-Characteristic . . . . . . . . . . 1--26 (or 1--25??) F. Leon Pritchard The Ideal Membership Problem in Non-Commutative Polynomial Rings . . . . 27--48 Maribel Fernández AC Complement Problems: Satisfiability and Negation Elimination . . . . . . . . 49--82 Laureano Gonzalez-Vega Applying Quantifier Elimination to the Birkhoff Interpolation Problem . . . . . 83--103 Srinivas Tummarakota and Junghsen Lieh Symbolic Finite Element Modeling of Structural Systems . . . . . . . . . . . 105--119
Uwe Egly On Different Structure-Preserving Translations to Normal Form . . . . . . 121--142 Massimo Marchiori On the Modularity of Normal Forms in Rewriting . . . . . . . . . . . . . . . 143--154 Robert Cremanns and Friedrich Otto For groups the property of having finite derivation type is equivalent to the homological finiteness condition $ {\rm FP}_3 $ . . . . . . . . . . . . . . . . 155--178 (or 155--177??) Felix Ulmer and Jacques-Arthur Weil Note on Kovacic's Algorithm . . . . . . 179--200 R. T. Curtis and Z. Hasan Symmetric Representation of the Elements of the Janko Group $ J_1 $ . . . . . . . 201--214 Francis Buekenhout and Dimitri Leemans On the List of Finite Primitive Permutation Groups of Degree $ \leq 50 $ 215--226 (or 215--225??) D. Aschenwald and T. Siegl and R. F. Tichy MAPinsure --- a MAPLE Package for Life Insurance . . . . . . . . . . . . . . . 227--234
Dexter Kozen and Susan Landau and Richard Zippel Decomposition of Algebraic Functions . . 235--246 Takeshi Shimoyama and Kazuhiro Yokoyama Localization and Primary Decomposition of Polynomial Ideals . . . . . . . . . . 247--278 (or 247--277??) Jordi Levy and Jaume Agustí Bi-rewrite Systems . . . . . . . . . . . 279--314 Manfred Schmidt-Schauß Decidability of Unification in the Theory of One-sided Distributivity and a Multiplicative Unit . . . . . . . . . . 315--344 Jun Zhang Symbolic Computation on Complex Polynomial Solution of Differential Equations . . . . . . . . . . . . . . . 345--354
Carlo Traverso Hilbert Functions and the Buchberger Algorithm . . . . . . . . . . . . . . . 355--376 Victor Y. Pan Computing $ x_m \bmod p(x) $ and an Application to Splitting a Polynomial Into Factors Over a Fixed Disc . . . . . 377--380 Bruno Salinier and Robert Strandh Efficient Simulation of Forward-Branching Systems with Constructor Systems . . . . . . . . . . 381--400 (or 381--399??) Zhenyu Qian and Kang Wang Modular Higher-Order Equational Preunification . . . . . . . . . . . . . 401--424 István Gaál and Michael Pohst On the Resolution of Index Form Equations in Sextic Fields with an Imaginary Quadratic Subfield . . . . . . 425--434 Marian Mrozek Rigorous Error Analysis of Numerical Algorithms via Symbolic Computations . . 435--458 Bram de Jager and Bram van Asch Symbolic Solutions for a Class of Partial Differential Equations . . . . . 459--468
V. Saraswat and R. Jagadeesan and V. Gupta Timed Default Concurrent Constraint Programming . . . . . . . . . . . . . . 475--520 C. Caleiro and G. Saake and A. Sernadas Deriving Liveness Goals from Temporal Logic Specifications . . . . . . . . . . 521--554 (or 521--553??) T. Frühwirth Temporal Annotated Constraint Logic Programming . . . . . . . . . . . . . . 555--584 (or 555--583??) M. Ahmed and G. Venkatesh Dense Time Logic Programming . . . . . . 585--614 (or 585--613??) Joeri Engelfriet and Jan Treur Executable Temporal Logic for Non-monotonic Reasoning . . . . . . . . 615--626 (or 615--625??) M. Fisher Temporal Semantics for Concurrent \sc MetateM . . . . . . . . . . . . . . . . 627--648 J.-R. Gagne and J. Plaice A Non-standard Temporal Deductive Database System . . . . . . . . . . . . 649--664 Edjard Mota and David Robertson and Alan Smaill NatureTime: Temporal Granularity in Simulation of Ecosystems . . . . . . . . 665--698 Chuchang Liu and M. A. Orgun Dealing with Multiple Granularity of Time in Temporal Logic Programming . . . 699--720 Anonymous Executable Temporal Logic Systems . . . 721--735
Robert Nieuwenhuis and Albert Rubio Paramodulation with Built-in AC-Theories and Symbolic Constraints . . . . . . . . 1--22 (or 1--21??) Christopher Lynch Oriented Equational Logic Programming is Complete . . . . . . . . . . . . . . . . 23--46 (or 23--45??) Adel Bouhoula Automated Theorem Proving by Test Set Induction . . . . . . . . . . . . . . . 47--78 (or 47--77??) Yuichi Kaji and Toru Fujiwara and Tadao Kasami Solving a Unification Problem Under Constrained Substitutions Using Tree Automata . . . . . . . . . . . . . . . . 79--118 (or 79--114??) B. M. Brown and M. S. P. Eastham and D. K. R. McCormack A New Algorithm for Computing the Asymptotic Solutions of a Class of Linear Differential Systems . . . . . . 119--131
C. M. Hoffmann and J. R. Sendra and F. Winkler Special Issue on Parametric Algebraic Curves and Applications: Foreword by the Guest Editors . . . . . . . . . . . . . 133--135 Laureano Gonzalez-Vega Implicitization of Parametric Curves and Surfaces by Using Multidimensional Newton Formulae . . . . . . . . . . . . 137--152 (or 137--151??) Tom Sederberg and Ron Goldman and Hang Du Implicitizing Rational Curves by the Method of Moving Algebraic Curves . . . 153--176 (or 153--175??) Hoon Hong Implicitization of Nested Circular Curves . . . . . . . . . . . . . . . . . 177--190 (or 177--189??) J. Rafael Sendra and Franz Winkler Parametrization of Algebraic Curves Over Optimal Field Extensions . . . . . . . . 191--208 (or 191--207??) Mark van Hoeij Rational Parametrizations of Algebraic Curves Using a Canonical Divisor . . . . 209--228 (or 209--227??) Michal M\vnuk An Algebraic Approach to Computing Adjoint Curves . . . . . . . . . . . . . 229--240 Tomas Recio and J. Rafael Sendra Real Reparametrizations of Real Curves 241--254 Martin Peternell and Helmut Pottmann Computing Rational Parametrizations of Canal Surfaces . . . . . . . . . . . . . 255--266 Enrique Arrondo and Juana Sendra and J. Rafael Sendra Parametric Generalized Offsets to Hypersurfaces . . . . . . . . . . . . . 267--286 (or 267--285??) Christoph M. Hoffmann and Robert Joan-Arinyo Symbolic Constraints in Constructive Geometric Constraint Solving . . . . . . 287--300 (or 287--299??) Rida T. Farouki Conic Approximation of Conic Offsets . . 301--314 (or 301--313??) Chandrajit L. Bajaj and Guoliang Xu Spline Approximations of RealAlgebraic Surfaces . . . . . . . . . . . . . . . . 315--333
Eugene M. Luks and Ferenc Rákóczi and Charles R. B. Wright Some Algorithms for Nilpotent Permutation Groups . . . . . . . . . . . 335--354 Hoon Hong Subresultants Under Composition . . . . 355--366 (or 355--365??) Amy Felty and Laurent Théry Interactive Theorem Proving with Temporal Logic . . . . . . . . . . . . . 367--398 (or 367--397??) Alfons Geser Omega-Termination is Undecidable for Totally Terminating Term Rewriting Systems . . . . . . . . . . . . . . . . 399--412 (or 399--411??) Sébastien Veigneau SP, a Package for Schubert Polynomials Realized with the Computer Algebra System MAPLE . . . . . . . . . . . . . . 413--426 (or 413--425??) R. M. Corless and D. J. Jeffrey and M. B. Monagan and Pratibha Two Perturbation Calculations in Fluid Mechanics Using Large-Expression Management . . . . . . . . . . . . . . . 427--443
L. A. Lambe Editorial . . . . . . . . . . . . . . . 445--446 B. Amrhein and O. Gloor and R. E. Maeder Visualizations for Mathematics Courses Based on a Computer Algebra System . . . 447--452 N. Boston A Use of Computers to Teach Group Theory and Introduce Students to Research . . . 453--458 J. Cannon and C. Playoust Using the Magma Computer Algebra System in Abstract Algebra Courses . . . . . . 459--484 R. M. Corless and D. J. Jeffrey Scientific Computing: One Part of the Revolution . . . . . . . . . . . . . . . 485--496 D. P. Jacobs A Course in Computational Nonassociative Algebra . . . . . . . . . . . . . . . . 497--502 E. Kaltofen Teaching Computational Abstract Algebra 503--516 Elizabeth L. Mansfield and Peter A. Clarkson Applications of the Differential Algebra Package diffgrob2 to Classical Symmetries of Differential Equations . . 517--534 (or 517--533??) M. B. Monagan Worksheets and Notebooks: Can We Teach Mathematical Algorithms with Them? . . . 535--550 N. Robidoux Computer Algebra and Interpolation: a Lesson Plan . . . . . . . . . . . . . . 551--576 G. J. Sherman Trying to Do Group Theory with Undergraduates and Computers . . . . . . 577--588 W. Y. Sit Mathematica Notebooks for a Conventional Differential Equations Course . . . . . 589--623
Mark van Hoeij Formal Solutions and Factorization of Differential Operators With Power Series Coefficients . . . . . . . . . . . . . . 1--30 Yiu-Kwong Man and Malcolm A. H. MacCallum A Rational Approach to the Prelle--Singer Algorithm . . . . . . . . 31--44 (or 31--43??) Thom Mulders A Note on Subresultants and the Lazard/Rioboo/Trager Formula in Rational Function Integration . . . . . . . . . . 45--50 Michael Kalkbrener On the Stability of Gröbner Bases Under Specializations . . . . . . . . . . . . 51--58 Nicolas Peltier Increasing Model Building Capabilities by Constraint Solving on Terms With Integer Exponents . . . . . . . . . . . 59--102 (or 59--101??) Ivan I. Shevchenko Numeric Deduction in Symbolic Computation. Application to Normalizing Transformations . . . . . . . . . . . . 103--112 (or 103--111??) Alberto Abad and Felix San-Juan PSPCLink: a Cooperation Between General Symbolic and Poisson Series Processors 113--122
Hoon Hong and Richard Liska Special Issue on Applications of Quantifier Elimination: Foreword of the Guest Editors . . . . . . . . . . . . . 123--123 Dexter Kozen and Kjartan Stefánsson Computing the Newtonian Graph . . . . . 125--136 Mats Jirstrand Nonlinear Control System Design by Quantifier Elimination . . . . . . . . . 137--152 Peter Dorato and Wei Yang and Chaouki Abdallah Robust Multi-Objective Feedback Design by Quantifier Elimination . . . . . . . 153--160 (or 153--159??) Hoon Hong and Richard Liska and Stanly Steinberg Testing Stability by Quantifier Elimination . . . . . . . . . . . . . . 161--188 (or 161--187??) Volker Weispfenning Simulation and Optimization by Quantifier Elimination . . . . . . . . . 189--208 Andreas Dolzmann and Thomas Sturm Simplification of Quantifier-free Formulae Over Ordered Fields . . . . . . 209--231
J. J. Cannon and D. F. Holt Special Issue on Applications of Quantifier Elimination: Foreword of the Guest Editors . . . . . . . . . . . . . 233--234 Wieb Bosma and John J. Cannon and Catherine Playoust The Magma algebra system. I. The user language . . . . . . . . . . . . . . . . 235--265 M. Daberkow and C. Fieker and J. Klüners and M. Pohst and K. Roegner and M. Schörnig and K. Wildanger KANT V4 . . . . . . . . . . . . . . . . 267--283 M. Daberkow and C. Fieker and J. Klüners and M. Pohst and K. Roegner and M. Schörnig and K. Wildanger KANT V4 . . . . . . . . . . . . . . . . 267--284 John J. Cannon and Derek F. Holt Computing Chief Series, Composition Series and Socles in Large Permutation Groups . . . . . . . . . . . . . . . . . 285--302 (or 285--301??) John J. Cannon and Bruce C. Cox and Derek F. Holt Computing Sylow Subgroups in Permutation Groups . . . . . . . . . . . . . . . . . 303--316 Jon F. Carlson and Edward L. Green and Gerhard J. A. Schnieder Computing Ext algebras for finite groups 317--326 (or 317--325??) W. Plesken and B. Souvignier Computing Isometries of Lattices . . . . 327--334 W. Plesken and B. Souvignier Analysing Finitely Presented Groups by Constructing Representations . . . . . . 335--350 (or 335--349??) Wieb Bosma and John J. Cannon and Allan Steel Lattices of Compatibly Embedded Finite Fields . . . . . . . . . . . . . . . . . 351--370 (or 351--369??) M. Daberkow Computing with Subfields . . . . . . . . 371--384 M. Daberkow Computing with subfields . . . . . . . . 371--384 Jürgen Klüners and Michael Pohst On computing subfields . . . . . . . . . 385--397 J. Klüners and M. Pohst On Computing Subfields . . . . . . . . . 385--398 George Havas and Bohdan S. Majewski Integer Matrix Diagonalization . . . . . 399--408 Allan Steel A New Algorithm for the Computation of Canonical Forms of Matrices over Fields 409--432 H. Cohen and F. Diaz y Diaz and M. Olivier Subexponential Algorithms for Class Group and Unit Computations . . . . . . 433--442 (or 433--441??) Stéphane Collart and Daniel Mall Toric Degenerations of Polynomial Ideals and Geometric Localization of Fans . . . 443--464 S. Collart and M. Kalkbrener and D. Mall Converting Bases with the Gröbner Walk 465--470 (or 465--469??) Gene Cooperman and Larry Finkelstein and Michael Tselman and Bryant York Constructing Permutation Representations for Matrix Groups . . . . . . . . . . . 471--488 D. F. Holt and W. Plesken and B. Souvignier Constructing a Representation of the Group (2,3,7;11) . . . . . . . . . . . . 489--492 Ibrahim A. I. Suleiman and Robert A. Wilson The $2$-modular characters of Conway's third group $ {\rm Co}_3$ . . . . . . . 493--506
Scott McCallum On Testing a Bivariate Polynomial for Analytic Reducibility . . . . . . . . . 509--536 (or 509--535??) Mark van Hoeij Factorization of Differential Operators with Rational Functions Coefficients . . 537--562 (or 537--561??) D. J. Jeffrey Rectifying Transformations for the Integration of Rational Trigonometric Functions . . . . . . . . . . . . . . . 563--574 (or 563--573??) Patrick Fitzpatrick Solving a Multivariable Congruence by Change of Term Order . . . . . . . . . . 575--590 (or 575--589??) Ünal Gökta\cs and Willy Hereman Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations . . . . . . . . . . 591--621
W. Krandick and S. Rump Special Issue on Validated Numerical Methods and Computer Algebra: Foreword of the Guest Editors . . . . . . . . . . 625--626 Daniel Richardson How to Recognize Zero . . . . . . . . . 627--646 (or 627--645??) Adam Wojciech Strzebo\'nski Computing in the Field of Complex Algebraic Numbers . . . . . . . . . . . 647--656 Michael E. Pohst On Validated Computing in Algebraic Number Fields . . . . . . . . . . . . . 657--666 (or 657--665??) V. Hribernig and H. J. Stetter Detection and Validation of Clusters of Polynomial Zeros . . . . . . . . . . . . 667--681 Jean-Pierre Dedieu Estimations for the Separation Number of a Polynomial System . . . . . . . . . . 683--693 Annie Cuyt Floating-Point Versus Symbolic Computations in the $ Q D $-Algorithm 695--704 (or 695--703??) Akmal A. Vakhidov and Nickolay N. Vasiliev A New Approach for Analytical Computation of Hamiltonian of a Satellite Perturbed Motion . . . . . . . 705--710
Ming-Deh D. Huang and Doug Ierardi Counting Points on Curves Over Finite Fields . . . . . . . . . . . . . . . . . 1--22 (or 1--21??) Klaus Madlener and Birgit Reinert A Generalization of Gröbner Basis Algorithms to Polycyclic Group Rings . . 23--44 (or 23--43??) Eddie H. Lo Finding Intersections and Normalizers in Finitely Generated Nilpotent Groups . . 45--60 (or 45--59??) Eddie H. Lo A Polycyclic Quotient Algorithm . . . . 61--98 (or 61--97??) Jon Jones and N. P. Karampetakis and A. C. Pugh The Computation and Application of the Generalized Inverse via $ \Vert $MAPLE$ \Vert $ . . . . . . . . . . . . . . . . 99--124
Norbert Kajler and Michael Monagan Special Issue on Graphical User Interfaces and Protocols Foreword of the Guest Editors . . . . . . . . . . . . . 125--125 N. Kajler and N. Soiffer A Survey of User Interfaces for Computer Algebra Systems . . . . . . . . . . . . 127--160 Y. Bertot and L. Théry A Generic Approach to Building User Interfaces for Theorem Provers . . . . . 161--194 M. B. Hayden and E. A. Lamagna Newton: An Interactive Environment for Exploring Mathematics . . . . . . . . . 195--212 S. Gray and N. Kajler and P. S. Wang Design and Implementation of MP, a Protocol for Efficient Exchange of Mathematical Expressions . . . . . . . . 213--238 H. Lowe and A. Bundy and D. McLean The Use of Proof Planning for Co-operative Theorem Proving . . . . . . 239--262 J. S. Aitken and P. Gray and T. Melham and M. Thomas Interactive Theorem Proving: An Empirical Study of User Activity . . . . 263--284
Thomas Yan The Geobucket Data Structure for Polynomials . . . . . . . . . . . . . . 285--294 (or 285--293??) Dongming Wang Decomposing Polynomial Systems into Simple Systems . . . . . . . . . . . . . 295--314 Jan Snellman Gröbner Bases and Normal Forms in a Subring of the Power Series Ring on Countably Many Variables . . . . . . . . 315--328 Bruno Salvy and John Shackell Symbolic Asymptotics: Functions of Two Variables, Implicit Functions . . . . . 329--350 (or 329--349??) L. J. Rylands and D. E. Taylor Matrix Generators for the Orthogonal Groups . . . . . . . . . . . . . . . . . 351--360 L. Hajdu and T. Herendi Explicit Bounds for the Solutions of Elliptic Equations with Rational Coefficients . . . . . . . . . . . . . . 361--366 Ladislav Kocbach and Richard Liska Generation and Verification of Algorithms for Symbolic-Numeric Processing . . . . . . . . . . . . . . . 367--382 B. Paternoster and M. Cafaro Computation of the Interval of Stability of Runge--Kutta--Nyström Methods . . . . 383--394
G. Smolka Special Issue on Order-Sorted Rewriting Foreword by the Guest Editor . . . . . . 395--395 Hubert Comon Completion of Rewrite Systems with Membership Constraints. Part I: Deduction Rules . . . . . . . . . . . . 397--420 (or 397--419??) Hubert Comon Completion of Rewrite Systems with Membership Constraints. Part II: Constraint Solving . . . . . . . . . . . 421--454 (or 421--453??) Claus Hintermeier and Claude Kirchner and Hél\`ene Kirchner Dynamically Typed Computations for Order-Sorted Equational Presentations 455--526 Andreas Werner A Semantic Approach to Order-Sorted Rewriting . . . . . . . . . . . . . . . 527--569
Hoon Hong Bounds for Absolute Positiveness of Multivariate Polynomials . . . . . . . . 571--586 (or 571--585??) Alexei Yu. Uteshev and Timofei M. Cherkasov The Search for the Maximum of a Polynomial . . . . . . . . . . . . . . . 587--618 Raphael Nauheim Systems of Algebraic Equations with Bad Reduction . . . . . . . . . . . . . . . 619--642 (or 619--641??) Hoon Hong Gröbner Basis Under Composition I . . . . 643--664 (or 643--663??) M. F. Newman and Werner Nickel and Alice C. Niemeyer Descriptions of Groups of Prime-power Order . . . . . . . . . . . . . . . . . 665--682
Joachim Apel The Theory of Involutive Divisions and an Application to Hilbert Function Computations . . . . . . . . . . . . . . 683--704 Elie Compoint Differential Equations and Algebraic Relations . . . . . . . . . . . . . . . 705--725 Wolfram Decker and Agnes Eileen Heydtmann and Frank-Olaf Schreyer Generating a Noetherian Normalization of the Invariant Ring of a Finite Group . . 727--731 Aart Middeldorp and Satoshi Okui A Deterministic Lazy Narrowing Calculus 733--757 Jean-Camille Birget Infinite String Rewrite Systems and Complexity . . . . . . . . . . . . . . . 759--793
Josef Schicho Rational parametrization of surfaces . . 1--29 Jaime Gutierrez and Tomas Recio Advances on the simplification of sine-cosine equations . . . . . . . . . 31--70 Ioannis Z. Emiris and Victor Y. Pan and Yanqiang Yu Modular arithmetic for linear algebra computations in the real field . . . . . 71--87 Torsten Minkwitz An algorithm for solving the factorization problem in permutation groups . . . . . . . . . . . . . . . . . 89--95 Maribel Fernández Negation elimination in empty or permutative theories . . . . . . . . . . 97--133
Sebastian Egner and Torsten Minkwitz Sparsification of rectangular matrices 135--149 Attila Pethö and Robert F. Tichy On two-parametric quartic families of Diophantine problems . . . . . . . . . . 151--171 Clemens Heuberger On a family of quintic Thue equations 173--185 Frédéric Chyzak and Bruno Salvy Non-commutative elimination in Ore algebras proves multivariate identities 187--227 Alyson A. Reeves A parallel implementation of Buchberger's algorithm over $ \bold Z_p $ for $ p \leq 31991 $ . . . . . . . . . 229--244 Massimo Caboara and Eva Riccomagno An algebraic computational approach to the identifiability of Fourier models 245--260
Manfred Göbel A constructive description of SAGBI bases for polynomial invariants of permutation groups . . . . . . . . . . . 261--272 Theo de Jong An algorithm for computing the integral closure . . . . . . . . . . . . . . . . 273--277 Hoon Hong and Josef Schicho Algorithms for trigonometric curves (simplification, implicitization, parameterization) . . . . . . . . . . . 279--300 Mulan Liu and Lei Hu Properties of Gröbner bases and applications to doubly periodic arrays 301--314 T. G. Berry Construction of linear systems on hyperelliptic curves . . . . . . . . . . 315--327 Philip Feinsilver and René Schott Computing representations of a Lie group via the universal enveloping algebra . . 329--338 Daniel J. Bernstein Composing power series over a finite ring in essentially linear time . . . . 339--341 Thomas Breuer and Götz Pfeiffer Finding possible permutation characters 343--354 Ian G. Lisle and Gregory J. Reid Geometry and structure of Lie pseudogroups from infinitesimal defining systems . . . . . . . . . . . . . . . . 355--379 M. Fournié and J.-Ph. Furter and D. Pinchon Computation of the maximal degree of the inverse of a cubic automorphism of the affine plane with Jacobian $1$ via Gröbner bases . . . . . . . . . . . . . . 381--386
Ph. Saux Picart The Schur--Cohn Algorithm Revisited . . 387--408 R. La Scala and M. Stillman Strategies for Computing Minimal Free Resolutions . . . . . . . . . . . . . . 409--432 J. Gutierrez and R. R. San Miguel Reduced Gröbner Bases Under Composition 433--444 P. A. Hendriks An Algorithm Determining the Difference Galois Group of Second Order Linear Difference Equations . . . . . . . . . . 445--462 M. Giesbrecht Factoring in Skew-Polynomial Rings Over Finite Fields . . . . . . . . . . . . . 463--486 A. Schiemann Classification of Hermitian Forms with the Neighbour Method . . . . . . . . . . 487--508 S. Meyer Eikenberry and J. P. Sorenson Efficient Algorithms for Computing the Jacobi Symbol . . . . . . . . . . . . . 509--523
M. Kalkbrener Algorithmic Properties of Polynomial Rings . . . . . . . . . . . . . . . . . 525--582 J. Von Zur Gathen and S. Hartlieb Factoring Modular Polynomials . . . . . 583--606 M. Von Mohrenschildt Normal Form for Function Rings of Piecewise Functions . . . . . . . . . . 607--620 F. Otto and M. Katsura and Y. Kobayashi Infinite Convergent String-Rewriting Systems and Cross-Sections for Finitely Presented Monoids . . . . . . . . . . . 621--648
S. M. Watt and H. J. Stetter Special Issue on Symbolic Numeric Algebra for Polynomials: Foreword of the Guest Editors . . . . . . . . . . . . . 649--652 N. K. Karmarkar and Y. N. Lakshman On Approximate GCDs of Univariate Polynomials . . . . . . . . . . . . . . 653--666 Z. Lihong and W. Wenda Nearest Singular Polynomials . . . . . . 667--676 B. Beckermann and G. Labahn When are Two Numerical Polynomials Relatively Prime? . . . . . . . . . . . 677--690 B. Beckermann and G. Labahn A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials 691--714 B. Mourrain Computing the Isolated Roots by Matrix Methods . . . . . . . . . . . . . . . . 715--738 Q.-N. Tran A Symbolic-Numerical Method for Finding a Real Solution of an Arbitrary System of Nonlinear Algebraic Equations . . . . 739--760 K. Shirayanagi and M. Sweedler Remarks on Automatic Algorithm Stabilization . . . . . . . . . . . . . 761--766 B. Huber and F. Sottile and B. Sturmfels Numerical Schubert Calculus . . . . . . 767--788 P. Gianni and M. Seppälä and R. Silhol and B. Trager Riemann Surfaces, Plane Algebraic Curves and Their Period Matrices . . . . . . . 789--803
D. F. Holt and D. F. Hurt Computing Automatic Coset Systems and Subgroup Presentations . . . . . . . . . 1--20 F. Cucker and P. Koiran and S. Smale A Polynomial Time Algorithm for Diophantine Equations in One Variable 21--30 W. W. Adams and S. Ho\csten and P. Loustaunau and J. L. Miller SAGBI and SAGBI-Gröbner Bases over Principal Ideal Domains . . . . . . . . 31--48 R. C. Churchill and M. A. Kummer A Unified Approach to Linear and Nonlinear Normal Forms for Hamiltonian Systems . . . . . . . . . . . . . . . . 49--131
S. M. Hermiller and X. H. Kramer and R. C. Laubenbacher Monomial Orderings, Rewriting Systems, and Gröbner Bases for the Commutator Ideal of a Free Algebra . . . . . . . . 133--142 J. Müller-Quade and R. Steinwandt Basic Algorithms for Rational Function Fields . . . . . . . . . . . . . . . . . 143--170 G. Kemper An Algorithm to Calculate Optimal Homogeneous Systems of Parameters . . . 171--184 M. Bellia and M. E. Occhiuto Lazy Linear Combinatorial Unification 185--206 P. Krysta and L. Pacholski The STO Problem is NP-Complete . . . . . 207--220 T. Wolf and A. Brand and M. Mohammadzadeh Computer Algebra Algorithms and Routines for the Computation of Conservation Laws and Fixing of Gauge in Differential Expressions . . . . . . . . . . . . . . 221--238
P. A. Hendriks and M. F. Singer Solving Difference Equations in Finite Terms . . . . . . . . . . . . . . . . . 239--260 J. Klüners On Polynomial Decompositions . . . . . . 261--270 J. Avenhaus and K. Becker A Framework for Operational Equational Specifications with Pre-defined Structures . . . . . . . . . . . . . . . 271--310 F. Du Cloux A Transducer Approach to Coxeter Groups 311--324 G. H. Norton On Shortest Linear Recurrences . . . . . 325--349
A. M. Bigatti and R. La Scala and L. Robbiano Computing Toric Ideals . . . . . . . . . 351--366 S. McCallum Factors of Iterated Resultants and Discriminants . . . . . . . . . . . . . 367--386 H. U. Besche and B. Eick Construction of Finite Groups . . . . . 387--404 H. U. Besche and B. Eick The Groups of Order at Most 1000 Except 512 and 768 . . . . . . . . . . . . . . 405--414 A. Hulpke Computing Subgroups Invariant Under a Set of Automorphisms . . . . . . . . . . 415--428 E. Bach Sheaf Cohomology is #P-Hard . . . . . . 429--433
K. Stokkermans A Categorical Critical-pair Completion Algorithm . . . . . . . . . . . . . . . 435--478 J. Q. Ying and L. Xu and Z. Lin A Computational Method for Determining Strong Stabilizability of $n$-D Systems 479--500 E. S. Cheb-Terrab and A. D. Roche Integrating Factors for Second-order ODEs . . . . . . . . . . . . . . . . . . 501--519
Edlyn Teske The Pohlig-Hellman Method Generalized for Group Structure Computation . . . . 521--534 Ronald de Man The Generating Function for the Number of Roots of a Coxeter Group . . . . . . 535--541 Bruno Salvy and John Shackell Symbolic Asymptotics: Multiseries of Inverse Functions . . . . . . . . . . . 543--563 Nicolai Vorobjov Complexity of Computing the Local Dimension of a Semialgebraic Set . . . . 565--579 D. J. Broadhurst and D. Kreimer Renormalization Automated by Hopf Algebra . . . . . . . . . . . . . . . . 581--600
Ioannis Z. Emiris and Bernard Mourrain Matrices in Elimination Theory . . . . . 3--43 P. Bikker and A. Yu. Uteshev On the Bézout Construction of the Resultant . . . . . . . . . . . . . . . 45--88 Laureano Gonzalez-Vega and Neila Gonzalez-Campos Simultaneous Elimination by using Several Tools from Real Algebraic Geometry . . . . . . . . . . . . . . . . 89--103 Philippe Aubry and Daniel Lazard and Marc Moreno Maza On the Theories of Triangular Sets . . . 105--124 Philippe Aubry and Marc Moreno Maza Triangular Sets for Solving Polynomial Systems: a Comparative Implementation of Four Methods . . . . . . . . . . . . . . 125--154 J. Maurice Rojas Solving Degenerate Sparse Polynomial Systems Faster . . . . . . . . . . . . . 155--186 Tangan Gao and T. Y. Li and Xiaoshen Wang Finding All Isolated Zeros of Polynomial Systems in $ C_n $ via Stable Mixed Volumes . . . . . . . . . . . . . . . . 187--212 Dan Richardson Weak Wu Stratification in $ R^n $ . . . 213--223 Lu Yang Recent Advances on Determining the Number of Real Roots of Parametric Polynomials . . . . . . . . . . . . . . 225--242 Masayuki Noro and Kazuhiro Yokoyama A Modular Method to Compute the Rational Univariate Representation of Zero-dimensional Ideals . . . . . . . . 243--264 Michael Kalkbrener On the Complexity of Gröbner Bases Conversion . . . . . . . . . . . . . . . 265--273 Karin Gatermann and Frédéric Guyard Gröbner Bases, Invariant Theory and Equivariant Dynamics . . . . . . . . . . 275--302 Dongming Wang Polynomial Systems from Certain Differential Equations . . . . . . . . . 303--315
Ulla Koppenhagen and Ernst W. Mayr An Optimal Algorithm for Constructing the Reduced Gröbner Basis of Binomial Ideals . . . . . . . . . . . . . . . . . 317--338 Eddie H. Lo and Gretchen Ostheimer A Practical Algorithm for Finding Matrix Representations for Polycyclic Groups 339--360 Gretchen Ostheimer Practical Algorithms for Polycyclic Matrix Groups . . . . . . . . . . . . . 361--379 Patrick Viry Elimination of Conditions . . . . . . . 381--401 Victor G. Ganzha and Evgenii V. Vorozhtsov Application of Computer Algebra Systems for Stability Analysis of Difference Schemes on Curvilinear Grids . . . . . . 401--433
William Sit and Manuel Bronstein Foreword of the Guest Editors . . . . . 435--440 Marius van der Put Galois Theory of Differential Equations, Algebraic Groups and Lie Algebras . . . 441--472 Elie Compoint and Michael F. Singer Computing Galois Groups of Completely Reducible Differential Equations . . . . 473--494 Raimundas Vidunas Differential Equations of Order Two with One Singular Point . . . . . . . . . . . 495--520 R. C. Churchill Two Generator Subgroups of \boldmath $ S L(2, C) $ and the Hypergeometric, Riemann, and Lamé Equations . . . . . . . 521--545 Moulay A. Barkatou On Rational Solutions of Systems of Linear Differential Equations . . . . . 547--567 Moulay Barkatou and Eckhard Pflügel An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations . . . . . . . . . 569--587 Mark Van Hoeij and Jean-François Ragot and Felix Ulmer and Jacques-Arthur Weil Liouvillian Solutions of Linear Differential Equations of Order Three and Higher . . . . . . . . . . . . . . . 589--609 Georg M. Reinhart The Schmidt-Kolchin Conjecture . . . . . 611--630 Sally Morrison The Differential Ideal $ [P] \colon M^{\infty } $ . . . . . . . . . . . . . 631--656 Evelyne Hubert Essential Components of an Algebraic Differential Equation . . . . . . . . . 657--680 Alexander Levin Computation of Hilbert Polynomials in Two Variables . . . . . . . . . . . . . 681--710 Andrej Bauer and Marko Petkov\vsek Multibasic and Mixed Hypergeometric Gosper-Type Algorithms . . . . . . . . . 711--736
Anonymous Special Issue on Orthogonal Polynomials and Computer Algebra Foreword of the Guest Editors . . . . . . . . . . . . . 737--738 B. C. Carlson Toward Symbolic Integration of Elliptic Integrals . . . . . . . . . . . . . . . 739--753 A. Ronveaux and A. Zarzo and I. Area and E. Godoy Decomposition of Polynomials with Respect to the Cyclic Group of Order $m$ 755--765 I. Area and E. Godoy and A. Ronveaux and A. Zarzo Inversion Problems in the $q$-Hahn Tableau . . . . . . . . . . . . . . . . 767--776 Harald Böing and Wolfram Koepf Algorithms for $q$-Hypergeometric Summation in Computer Algebra . . . . . 777--799 Mama Foupouagnigni and M. Norbert Hounkonnou and André Ronveaux The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the $ \Delta $-Laguerre-Hahn Class . . . . . . . . . 801--818 Charles F. Dunkl Computing with Differential-difference Operators . . . . . . . . . . . . . . . 819--826 Alan L. Schwartz Partial Differential Equations and Bivariate Orthogonal Polynomials . . . . 827--845 Anonymous Contents of Volume 28 . . . . . . . . . i--ii Anonymous Index to Volume 28 . . . . . . . . . . . iii--viii
B. F. Caviness Editorial . . . . . . . . . . . . . . . 1--1 Hoon Hong Editorial . . . . . . . . . . . . . . . 3--4 Ronald Brown and Anne Heyworth Using Rewriting Systems to Compute Left Kan Extensions and Induced Actions of Categories . . . . . . . . . . . . . . . 5--31 Sergey Bratus and Igor Pak Fast Constructive Recognition of a Black Box Group Isomorphic to \boldmath $S$$_n$ or \boldmath $A$$_n$ using Goldbach's Conjecture . . . . . . . . . 33--57 Sarah Rees and Leonard H. Soicher An Algorithmic Approach to Fundamental Groups and Covers of Combinatorial Cell Complexes . . . . . . . . . . . . . . . 59--77 D. A. Wolfram A Formula for the General Solution of a Constant-coefficient Difference Equation 79--82 Vincent Prosper SFA, a Package on Symmetric Functions Considered as Operators over the Ring of Polynomials for the Computer Algebra System Maple . . . . . . . . . . . . . . 83--94 John Carminati and Khai Vu Symbolic Computation and Differential Equations: Lie Symmetries . . . . . . . 95--116
Anonymous Special Issue on Advances in First-order Theorem Proving Foreword of the Guest Editors . . . . . . . . . . . . . . . . 117--118 Chandrabose Aravindan and Peter Baumgartner Theorem Proving Techniques for View Deletion in Databases . . . . . . . . . 119--147 Matthias Baaz and Alexander Leitsch Cut-elimination and Redundancy-elimination by Resolution . . 149--177 Ricardo Caferra and Nicolas Peltier Combining Enumeration and Deductive Techniques in order to Increase the Class of Constructible Infinite Models 177--211 Reinhard Pichler Speeding up Algorithms on Atomic Representations of Herbrand Models via New Redundancy Criteria . . . . . . . . 213--257 Andrea Formisano and Eugenio G. Omodeo and Marco Temperini Goals and Benchmarks for Automated Map Reasoning . . . . . . . . . . . . . . . 259--297 Marc Fuchs Controlled Use of Clausal Lemmas in Connection Tableau Calculi . . . . . . . 299--341 P. J. Martin and A. Gavilanes and J. Leach Tableau Methods for a Logic with Term Declarations . . . . . . . . . . . . . . 343--372 Uwe Petermann Connection Calculus Theorem Proving with Multiple Built-in Theories . . . . . . . 373--392
Guoting Chen and Jean Della Dora An Algorithm for Computing a New Normal Form for Dynamical Systems . . . . . . . 393--418 David Cox and Ronald Goldman and Ming Zhang On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points . . . . . . . . . . 419--440 W. Eberly and M. Giesbrecht Efficient Decomposition of Associative Algebras over Finite Fields . . . . . . 441--458 Graziano Gentili and Michael A. O'Connor On Rational Geometry of Conic Sections 459--470 Adam Strzebo\'nski Solving Systems of Strict Polynomial Inequalities . . . . . . . . . . . . . . 471--480
Eduardo Cattani and Reinhard C. Laubenbacher Special Issue on Symbolic Computation in Algebra, Analysis, and Geometry Foreword of the Guest Editors . . . . . . . . . . 483--483 Laurent Busé and Mohamed Elkadi and Bernard Mourrain Generalized Resultants over Unirational Algebraic Varieties . . . . . . . . . . 515--526 Marc Chardin Applications of Some Properties of the Canonical Module in Computational Projective Algebraic Geometry . . . . . 527--544 Wolfram Decker and Frank-Olaf Schreyer Non-general Type Surfaces in $ P^4 $: Some Remarks on Bounds and Constructions 545--582 David Eisenbud and Mircea Musta\cta and Mike Stillman Cohomology on Toric Varieties and Local Cohomology with Monomial Supports . . . 583--600 Edward L. Green Multiplicative Bases, Gröbner Bases, and Right Gröbner Bases . . . . . . . . . . . 601--623 Serkan Ho\csten and Jay Shapiro Primary Decomposition of Lattice Basis Ideals . . . . . . . . . . . . . . . . . 625--639 Evelyne Hubert Factorization-free Decomposition Algorithms in Differential Algebra . . . 641--662 Henri Lombardi and Marie-Françoise Roy and Mohab Safey El Din New Structure Theorem for Subresultants 663--689 Ezra Miller and Bernd Sturmfels and Kohji Yanagawa Generic and Cogeneric Monomial Ideals 691--708 Mircea Musta\cta Local Cohomology at Monomial Ideals . . 709--720 Toshinori Oaku and Nobuki Takayama and Uli Walther A Localization Algorithm for $D$-modules 721--728 Gregory G. Smith Computing Global Extension Modules . . . 729--746 Harrison Tsai Weyl Closure of a Linear Differential Operator . . . . . . . . . . . . . . . . 747--775 Jan Verschelde Toric Newton Method for Polynomial Homotopies . . . . . . . . . . . . . . . 777--793 Uli Walther Algorithmic Computation of de Rham Cohomology of Complements of Complex Affine Varieties . . . . . . . . . . . . 795--839
Manuel Bronstein On Solutions of Linear Ordinary Difference Equations in their Coefficient Field . . . . . . . . . . . 841--877 Shuhong Gao and Joachim von zur Gathen and Daniel Panario and Victor Shoup Algorithms for Exponentiation in Finite Fields . . . . . . . . . . . . . . . . . 879--889 Erich Kaltofen Challenges of Symbolic Computation: My Favorite Open Problems . . . . . . . . . 891--919 Ursula Martin and Duncan Shand Invariants, Patterns and Weights for Ordering Terms . . . . . . . . . . . . . 921--957 Stefan Maubach An Algorithm to Compute the Kernel of a Derivation up to a Certain Degree . . . 959--970 Petru Pau and Josef Schicho Quantifier Elimination for Trigonometric Polynomials by Cylindrical Trigonometric Decomposition . . . . . . . . . . . . . 971--983
Pierre Flener and Kung-Kiu Lau and Wolfgang Bibel Foreword to the Special Issue on Schemas 1--3 Penny Anderson and David Basin Program Development Schemata as Derived Rules . . . . . . . . . . . . . . . . . 5--36 Matthias Fuchs Proofs as Schemas and Their Heuristic Use . . . . . . . . . . . . . . . . . . 37--61 S. M. Brien and A. P. Martin A Calculus for Schemas in $Z$ . . . . . 63--91 Pierre Flener and Kung-Kiu Lau and Mario Ornaghi and Julian Richardson An Abstract Formalization of Correct Schemas for Program Synthesis . . . . . 93--127
Vincenzo Acciaro and Claus Fieker Finding Normal Integral Bases of Cyclic Number Fields of Prime Degree . . . . . 129--136 G. Albano and F. Cioffi and F. Orecchia and I. Ramella Minimally Generating Ideals of Rational Parametric Curves in Polynomial Time . . 137--149 Pedro Berrizbeitia and T. G. Berry Generalized Strong Pseudoprime Tests and Applications . . . . . . . . . . . . . . 151--160 M'hammed El Kahoui and Andreas Weber Deciding Hopf Bifurcations by Quantifier Elimination in a Software-component Architecture . . . . . . . . . . . . . . 161--179 István Gaál Solving Index Form Equations in Fields of Degree $9$ with Cubic Subfields . . . 181--193 Reinhard C. Laubenbacher and Irena Swanson Permanental Ideals . . . . . . . . . . . 195--205 Thomas Sturm Linear Problems in Valued Fields . . . . 207--219 Dongming Wang Computing Triangular Systems and Regular Systems . . . . . . . . . . . . . . . . 221--236
Vincenzo Acciaro and Jürgen Klüners Computing Local Artin Maps, and Solvability of Norm Equations . . . . . 239--252 Gert-Martin Greuel Computer Algebra and Algebraic Geometry --- Achievements and Perspectives . . . 253--289 Marc Giusti and Klemens Hägele and Grégoire Lecerf and Joël Marchand and Bruno Salvy The Projective Noether Maple Package: Computing the Dimension of a Projective Variety . . . . . . . . . . . . . . . . 291--307 Ryutaroh Matsumoto and Shinji Miura Finding a Basis of a Linear System with Pairwise Distinct Discrete Valuations on an Algebraic Curve . . . . . . . . . . . 309--323 Maurice Mignotte Bounds for the Roots of Lacunary Polynomials . . . . . . . . . . . . . . 325--327 Wilberd Van Der Kallen Complexity of the Havas, Majewski, Matthews $ L L L $ Hermite Normal Form Algorithm . . . . . . . . . . . . . . . 329--337
J. Abbott and A. Bigatti and M. Kreuzer and L. Robbiano Computing Ideals of Points . . . . . . . 341--356 Alexander Levin Reduced Gröbner Bases, Free Difference-Differential Modules and Difference-Differential Dimension Polynomials . . . . . . . . . . . . . . 357--382 Ignacio Ojeda Martínez de Castilla and Ramón Peidra Sánchez Cellular Binomial Ideals. Primary Decomposition of Binomial Ideals . . . . 383--400 Gábor Bodnár and Josef Schicho Automated Resolution of Singularities for Hypersurfaces . . . . . . . . . . . 401--428 M. A. Borges-Trenard and M. Borges-Quintana and T. Mora Computing Gröbner Bases by FGLM Techniques in a Non-commutative Setting 429--449 Quoc-Nam Tran A Fast Algorithm for Gröbner Basis Conversion and its Applications . . . . 451--467 Jörn Müller-Quade and Rainer Steinwandt Gröbner Bases Applied to Finitely Generated Field Extensions . . . . . . . 469--490
Cassiano Durand and Christoph M. Hoffmann A Systematic Framework for Solving Geometric Constraints Analytically . . . 493--519 Aloysius G. Helminck Computing Orbits of Minimal Parabolic $k$-subgroups Acting on Symmetric $k$-varieties . . . . . . . . . . . . . 521--553 Reinhard Laubenbacher and Karen Schlauch An Algorithm for the Quillen-Suslin Theorem for Quotients of Polynomial Rings by Monomial Ideals . . . . . . . . 555--571 Dimitrios Poulakis and Evaggelos Voskos On the Practical Solution of Genus Zero Diophantine Equations . . . . . . . . . 573--582 Josef Schicho Proper Parametrization of Real Tubular Surfaces . . . . . . . . . . . . . . . . 583--593 Wolmer V. Vasconcelos Divisorial Extensions and the Computation of Integral Closures . . . . 595--604 André Weilert $ (1 + i)$-ary GCD Computation in $ Z[i]$ as an Analogue to the Binary GCD Algorithm . . . . . . . . . . . . . . . 605--617 Thomas Wolf The Symbolic Integration of Exact PDEs 619--629
Anonymous Contents and Index of Volume 30 . . . . 1--7 B. H. Matzat and J. McKay and K. Yokoyama Special Issue on Algorithmic Methods in Galois Theory: Foreword of the Guest Editors . . . . . . . . . . . . . . . . 631--633 Philippe Aubry and Annick Valibouze Using Galois Ideals for Computing Relative Resolvents . . . . . . . . . . 635--651 Katharina Geissler and Jürgen Klüners Galois Group Computation for Rational Polynomials . . . . . . . . . . . . . . 653--674 Jürgen Klüners and Gunter Malle Explicit Galois Realization of Transitive Groups of Degree up to $ 15 $ 675--716 Gunter Malle Multi-parameter Polynomials with Given Galois Group . . . . . . . . . . . . . . 717--731 Jürgen Klüners A Polynomial with Galois Group $ {\rm SL}_2 (11) $ . . . . . . . . . . . . . . 733--737 Jean-Marc Couveignes Boundary of Hurwitz Spaces and Explicit Patching . . . . . . . . . . . . . . . . 739--759 Michael Dettweiler and Stefan Reiter An Algorithm of Katz and its Application to the Inverse Galois Problem . . . . . 761--798 Luis Dieulefait and Núria Vila Projective Linear Groups as Galois Groups over $Q$ via Modular Representations . . . . . . . . . . . . 799--810 Montserrat Vela Explicit Solutions of Galois Embedding Problems by Means of Generalized Clifford Algebras . . . . . . . . . . . 811--842 Gregor Kemper and Elena Mattig Generic Polynomials with Few Parameters 843--857 Arne Ledet Generic and Explicit Realization of Small $p$-groups . . . . . . . . . . . . 859--865 Arne Ledet Generic Extensions and Generic Polynomials . . . . . . . . . . . . . . 867--872
Wieb Bosma Special Issue on Computational Algebra and Number Theory: Proceedings of the Second Magma Conference: Foreword of the Guest Editor . . . . . . . . . . . . . . 1--1 Joachim von zur Gathen and Daniel Panario Factoring Polynomials Over Finite Fields: a Survey . . . . . . . . . . . . 3--17 Shuhong Gao On the Deterministic Complexity of Factoring Polynomials . . . . . . . . . 19--36 J. D. Key Some Applications of Magma in Designs and Codes: Oval Designs, Hermitian Unitals and Generalized Reed--Muller Codes . . . . . . . . . . . . . . . . . 37--53 G. L. Ebert Constructions in Finite Geometry Using Computer Algebra Systems . . . . . . . . 55--70 J. E. Cremona Classical Invariants and $2$-descent on Elliptic Curves . . . . . . . . . . . . 71--87 Joe Buhler and Richard Crandall and Reijo Ernvall and Tauno Metsänkylä and M. Amin Shokrollahi Irregular Primes and Cyclotomic Invariants to $ 12 $ Million . . . . . . 89--96 Wieb Bosma and Bart de Smit Class Number Relations from a Computational Point of View . . . . . . 97--112 Mario Daberkow On Computations in Kummer Extensions . . 113--131 Henri Cohen and Francisco Diaz y Diaz and Michel Olivier Algorithmic Methods for Finitely Generated Abelian Groups . . . . . . . . 133--147 John J. Cannon and Bruce C. Cox and Derek F. Holt Computing the Subgroups of a Permutation Group . . . . . . . . . . . . . . . . . 149--161 Klaus Lux and Markus Wiegelmann Determination of Socle Series using the Condensation Method . . . . . . . . . . 163--178 Michael C. Slattery Computing Double Cosets in Soluble Groups . . . . . . . . . . . . . . . . . 179--192 Simon Norton Computing in the Monster . . . . . . . . 193--201 Holger W. Gollan A New Existence Proof for $ L y $, the Sporadic Simple Group of R. Lyons . . . 203--209 Robert L. Griess, Jr. and A. J. E. Ryba Embeddings of $ {\rm PSL}(2, 41) $ and $ {\rm PSL}(2, 49) $ in $ {\rm E}_8 (C) $ 211--227 Jon F. Carlson Calculating Group Cohomology: Tests for Completion . . . . . . . . . . . . . . . 229--242 Alain Sausse A New Approach to Primary Decomposition 243--257 Ulla Koppenhagen and Ernst W. Mayr An Optimal Algorithm for Constructing the Reduced Gröbner Basis of Binomial Ideals, and Applications to Commutative Semigroups . . . . . . . . . . . . . . . 259--276
Franz Baader and Paliath Narendran Unification of Concept Terms in Description Logics . . . . . . . . . . . 277--305 K. Kalorkoti Counting and Gröbner Bases . . . . . . . 307--313 Thomas Lickteig and Marie-Françoise Roy Sylvester-Habicht Sequences and Fast Cauchy Index Computation . . . . . . . . 315--341 F. Orecchia Implicitization of a General Union of Parametric Varieties . . . . . . . . . . 343--356
Franck Aries and Rachid Senoussi An Implicitization Algorithm for Rational Surfaces with no Base Points 357--365 Christoph M. Hoffman and Andrew Lomonosov and Meera Sitharam Decomposition Plans for Geometric Constraint Systems, Part I: Performance Measures for CAD . . . . . . . . . . . . 367--408 Christoph M. Hoffman and Andrew Lomonosov and Meera Sitharam Decomposition Plans for Geometric Constraint Problems, Part II: New Algorithms . . . . . . . . . . . . . . . 409--427 R. B. Howlett and L. J. Rylands and D. E. Taylor Matrix Generators for Exceptional Groups of Lie Type . . . . . . . . . . . . . . 429--445 Thom Mulders A Generalized Sylvester Identity and Fraction-free Random Gaussian Elimination . . . . . . . . . . . . . . 447--460 Raya Khanin and Matthew Cartmell Parallelization of Perturbation Analysis: Application to Large-scale Engineering Problems . . . . . . . . . . 461--473 J.-P. Merlet A Parser for the Interval Evaluation of Analytical Functions and its Application to Engineering Problems . . . . . . . . 475--486
Abdelwaheb Ayari and David Basin A Higher-order Interpretation of Deductive Tableau . . . . . . . . . . . 487--520 Christopher W. Brown Simple CAD Construction and its Applications . . . . . . . . . . . . . . 521--547 Sharon Brueggeman Septic Number Fields Which are Ramified Only at One Small Prime . . . . . . . . 549--555 Serge Burckel Syntactical Methods for Braids of Three Strands . . . . . . . . . . . . . . . . 557--564 Eimear Byrne and Patrick Fitzpatrick Gröbner Bases over Galois Rings with an Application to Decoding Alternant Codes 565--584 Carlos D'Andrea Resultants and Moving Surfaces . . . . . 585--602 T. Shaska Curves of Genus $2$ with $ (N, N)$ Decomposable Jacobians . . . . . . . . . 603--617 Jianmin Zheng and Thomas W. Sederberg A Direct Approach to Computing the $ \mu $-basis of Planar Rational Curves . . . 619--629
Driss Bouziane and Abdelilah Kandri Rody and Hamid Maârouf Unmixed-dimensional Decomposition of a Finitely Generated Perfect Differential Ideal . . . . . . . . . . . . . . . . . 631--649 Eng-Wee Chionh Rectangular Corner Cutting and Dixon $A$-resultants . . . . . . . . . . . . . 651--669 K. Kalorkoti Detecting Algebraic Curves in Bad Position . . . . . . . . . . . . . . . . 671--690 Ziming Li and Fritz Schwarz Rational Solutions of Riccati-like Partial Differential Equations . . . . . 691--716 Joris van der Hoeven Fast Evaluation of Holonomic Functions Near and in Regular Singularities . . . 717--743 David Bebbington and Manfred Göbel KLEIN: a Mathematica Package for Radar Polarimetry Based on Spinor and Tensor Algebra . . . . . . . . . . . . . . . . 745--751 Anonymous Contents and Index to Volume 31 . . . . i--vii
Henk Barendregt and Arjeh M. Cohen Electronic Communication of Mathematics and the Interaction of Computer Algebra Systems and Proof Assistants . . . . . . 3--22 Franz Binder and Peter Mayr Algorithms for Finite Near-rings and their $N$-groups . . . . . . . . . . . . 23--38 Gábor Bodnár and Josef Schicho Two Computational Techniques for Singularity Resolution . . . . . . . . . 39--54 Olga Caprotti and Martijn Oostdijk Formal and Efficient Primality Proofs by Use of Computer Algebra Oracles . . . . 55--70 Jean-Guillaume Dumas and B. David Saunders and Gilles Villard On Efficient Sparse Integer Matrix Smith Normal Form Computations . . . . . . . . 71--99 Edward L. Green and Lenwood S. Heath and Craig A. Struble Constructing Homomorphism Spaces and Endomorphism Rings . . . . . . . . . . . 101--117 Günter Landsmann and Josef Schicho and Franz Winkler The Parametrization of Canal Surfaces and the Decomposition of Polynomials into a Sum of Two Squares . . . . . . . 119--132 Izumi Miyamoto Computing Isomorphisms of Association Schemes and its Application . . . . . . 133--141 Piotr Rudnicki and Christoph Schwarzweller and Andrzej Trybulec Commutative Algebra in the Mizar System 143--169 Anonymous Special Issue . . . . . . . . . . . . .
Leonard M. Adleman and Ming-Deh Huang Counting Points on Curves and Abelian Varieties Over Finite Fields . . . . . . 171--189 Gema M. Diaz-Toca and Laureano Gonzalez-Vega Squarefree Decomposition of Univariate Polynomials Depending on a Parameter. Application to the Integration of Parametric Rational Functions . . . . . 191--209 Emmanuel Hallouin Computing Local Integral Closures . . . 211--230 Gerardo Lafferriere and George J. Pappas and Sergio Yovine Symbolic Reachability Computation for Families of Linear Vector Fields . . . . 231--253 Edward S. Letzter Constructing Irreducible Representations of Finitely Presented Algebras . . . . . 255--262 Ryutaroh Matsumoto Computing the Radical of an Ideal in Positive Characteristic . . . . . . . . 263--271 A. J. E. Ryba Condensation of Symmetrized Tensor Powers . . . . . . . . . . . . . . . . . 273--289 Alfred Widiger Solving the Word Problem for Two Classes of Non-associative Rings by Rewriting 291--301
Alessandro Armando and Tudor Jebelean Special Issue on Calculemus-99: Integrating Computation and Deduction Foreword of the Guest Editors . . . . . 303--304 Alessandro Armando and Alessandro Coglio and Fausto Giunchiglia and Silvio Ranise The Control Layer in Open Mechanized Reasoning Systems: Annotations and Tactics . . . . . . . . . . . . . . . . 305--332 Michael Beeson Automatic Derivation of the Irrationality of $e$ . . . . . . . . . . 333--349 O. Caprotti and A. M. Cohen On the Role of OpenMath in Interactive Mathematical Documents . . . . . . . . . 351--364 Michael Kohlhase and Andreas Franke MBase: Representing Knowledge and Context for the Integration of Mathematical Software Systems . . . . . 365--402 Sorin Stratulat A General Framework to Build Contextual Cover Set Induction Provers . . . . . . 403--445 Anonymous Special Issue on Calculemus-99: Integrating Computation and Deduction ??
Christopher W. Brown Improved Projection for Cylindrical Algebraic Decomposition . . . . . . . . 447--465 George E. Collins Polynomial Minimum Root Separation . . . 467--473 W. A. de Graaf Computing with Quantized Enveloping Algebras: PBW-Type Bases, Highest-Weight Modules and $R$-Matrices . . . . . . . . 475--490 Peter Dräxler Normal Forms for Representations of Representation-finite Algebras . . . . . 491--497 Burkhard Höfling Computing Projectors, Injectors, Residuals and Radicals of Finite Soluble Groups . . . . . . . . . . . . . . . . . 499--511 H. Michael Möller and Ralf Tenberg Multivariate Polynomial System Solving Using Intersections of Eigenspaces . . . 513--531 Sebastian Pauli Factoring Polynomials Over Local Fields 533--547 Mathias Schulze Algorithms for the Gauss-Manin Connection . . . . . . . . . . . . . . . 549--564 Félix San-Juan and Alberto Abad Algebraic and Symbolic Manipulation of Poisson Series . . . . . . . . . . . . . 565--572
F. J. Castro-Jiménez and J. Rafael Sendra Foreword by the Guest Editors . . . . . 573--574 Toshinori Oaku and Nobuki Takayama Minimal Free Resolutions of Homogenized $D$-modules . . . . . . . . . . . . . . 575--595 Harrison Tsai and Uli Walther Computing Homomorphisms Between Holonomic $D$-modules . . . . . . . . . 597--617 Laura Felicia Matusevich Rank Jumps in Codimension $ 2 A $-hypergeometric Systems . . . . . . . . 619--641 Rouchdi Bahloul Algorithm for Computing Bernstein--Sato Ideals Associated with a Polynomial Mapping . . . . . . . . . . . . . . . . 643--662 Anton Leykin Constructibility of the Set of Polynomials with a Fixed Bernstein--Sato Polynomial: an Algorithmic Approach . . 663--675 F. J. Castro-Jiménez and J. M. Ucha-Enríquez Explicit Comparison Theorems for $D$-modules . . . . . . . . . . . . . . 677--685 P. Jara and J. Jódar $ U q(s l(2)) $ Satisfies a Bernstein Duality . . . . . . . . . . . . . . . . 687--698 Andre Hillebrand and Wiland Schmale Towards an Effective Version of a Theorem of Stafford . . . . . . . . . . 699--716 F. Aroca and J. Cano Formal Solutions of Linear PDEs and Convex Polyhedra . . . . . . . . . . . . 717--737 Anonymous Journal of Symbolic Computation, Volume 32 Contents and Author Index . . . . . . i--vii Anonymous Special Issue on Effective Methods in Rings of Differential Operators . . . . ?? Anonymous Volume $ 32 $ Contents and Author Index ??
Christian Bauer and Alexander Frink and Richard Kreckel Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language . . . . . . . . . . 1--12 Eng-Wee Chionh and Ming Zhang and Ronald N. Goldman Fast Computation of the Bezout and Dixon Resultant Matrices . . . . . . . . . . . 13--29 Willem A. de Graaf and Werner Nickel Constructing Faithful Representations of Finitely-generated Torsion-free Nilpotent Groups . . . . . . . . . . . . 31--41 Ralf Hemmecke Continuously Parameterized Symmetries and Buchberger's Algorithm . . . . . . . 43--55 Frank Lübeck On the Computation of Elementary Divisors of Integer Matrices . . . . . . 57--65 Patrik Nordbeck SAGBI Bases Under Composition . . . . . 67--76 Manfred Schmidt-Schauß and Klaus U. Schulz Solvability of Context Equations with Two Context Variables is Decidable . . . 77--122 Joris Van Der Hoeven FFT-like Multiplication of Linear Differential Operators . . . . . . . . . 123--127
Bettina Eick and Charles R. B. Wright Computing Subgroups by Exhibition in Finite Solvable Groups . . . . . . . . . 129--143 S. A. Linton and G. Pfeiffer and E. F. Robertson and N. Ru\vskuc Computing Transformation Semigroups . . 145--162 Jonas Månsson and Patrik Nordbeck Regular Gröbner Bases . . . . . . . . . . 163--181 Antonio Montes A New Algorithm for Discussing Gröbner Bases with Parameters . . . . . . . . . 183--208 David Andrew Smith Gröbner Bases in Orders of Algebraic Number Fields . . . . . . . . . . . . . 209--220 Amelia Taylor The Inverse Gröbner Basis Problem in Codimension Two . . . . . . . . . . . . 221--238 Shih Ping Tung Approximate Solutions of Polynomial Equations . . . . . . . . . . . . . . . 239--254
Murray Bremner and Irvin Hentzel Identities for the Associator in Alternative Algebras . . . . . . . . . . 255--273 Karin Gatermann and Birkett Huber A Family of Sparse Polynomial Systems Arising in Chemical Reaction Systems . . 275--305 K. Kalorkoti Predicting Zero Coefficients in Formal Power Series Computations . . . . . . . 307--320 P. P. Boyle and W. Tian and Fred Guan The Riccati Equation in Mathematical Finance . . . . . . . . . . . . . . . . 343--355 N. G. Lloyd and J. M. Pearson Symmetry in Planar Dynamical Systems . . 357--366 Thomas Wolf Size Reduction and Partial Decoupling of Systems of Equations . . . . . . . . . . 367--383 Anonymous Applications . . . . . . . . . . . . . . ?? Scott McCallum and George E. Collins Local Box Adjacency Algorithms for Cylindrical Algebraic Decompositions . . 32--342
George E. Collins A Fast Euclidean Algorithm for Gaussian Integers . . . . . . . . . . . . . . . . 385--392 Ioannis Z. Emiris and Victor Y. Pan Symbolic and Numeric Methods for Exploiting Structure in Constructing Resultant Matrices . . . . . . . . . . . 393--413 Farshid Hajir and Christian Maire Tamely Ramified Towers and Discriminant Bounds for Number Fields---II . . . . . 415--423 F. Hess Computing Riemann--Roch Spaces in Algebraic Function Fields and Related Topics . . . . . . . . . . . . . . . . . 425--445 Hoon Hong and Manfred Minimair Sparse Resultant of Composed Polynomials I Mixed--Unmixed Case . . . . . . . . . 447--465 Manfred Minimair Sparse Resultant of Composed Polynomials II Unmixed--Mixed Case . . . . . . . . . 467--478 Dimitrios Poulakis and Evaggelos Voskos Solving Genus Zero Diophantine Equations with at Most Two Infinite Valuations . . 479--491 Stefan Ratschan Quantified Constraints Under Perturbation . . . . . . . . . . . . . . 493--505 Xuan Zhao and Haibao Duan A Mathematica Program for the Degrees of Certain Schubert Varieties . . . . . . . 507--517
Gilles Villard Preface . . . . . . . . . . . . . . . . 519--519 S. A. Abramov and M. Petkov ek Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms 521--543 Jaime Gutierrez and Rosario Rubio and David Sevilla On Multivariate Rational Function Decomposition . . . . . . . . . . . . . 545--562 Gene Cooperman and Victor Grinberg Scalable Parallel Coset Enumeration: Bulk Definition and the Memory Wall . . 563--585 Carlos D'Andrea and Ioannis Z. Emiris Hybrid Sparse Resultant Matrices for Bivariate Polynomials . . . . . . . . . 587--608 E. Fortuna and P. Gianni and B. Trager Derivations and Radicals of Polynomial Ideals over Fields of Arbitrary Characteristic . . . . . . . . . . . . . 609--625 Steven Fortune An Iterated Eigenvalue Algorithm for Approximating Roots of Univariate Polynomials . . . . . . . . . . . . . . 627--646 Mikhail V. Foursov and Marc Moreno Maza On Computer-assisted Classification of Coupled Integrable Equations . . . . . . 647--660 André Galligo and David Rupprecht Irreducible Decomposition of Curves . . 661--677 Bernard Mourrain and Olivier Ruatta Relations Between Roots and Coefficients, Interpolation and Application to System Solving . . . . . 679--699 Victor Y. Pan Univariate Polynomials: Nearly Optimal Algorithms for Numerical Factorization and Root-finding . . . . . . . . . . . . 701--733 Alexandre Sedoglavic A Probabilistic Algorithm to Test Local Algebraic Observability in Polynomial Time . . . . . . . . . . . . . . . . . . 735--755 Emmanuel Thomé Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm . . . . 757--775
Uwe Waldmann Cancellative Abelian Monoids and Related Structures in Refutational Theorem Proving (Part I) . . . . . . . . . . . . 777--829 Uwe Waldmann Cancellative Abelian Monoids and Related Structures in Refutational Theorem Proving (Part II) . . . . . . . . . . . 831--861 J. Rafael Sendra Normal Parametrizations of Algebraic Plane Curves . . . . . . . . . . . . . . 863--885 Peter Berman Calculating the Galois Group of $ Y' = A Y + B, Y' = A Y $ Completely Reducible 887--898
Bettina Eick Orbit-stabilizer Problems and Computing Normalizers for Polycyclic Groups . . . 1--19 Jürgen Giesl and Thomas Arts and Enno Ohlebusch Modular Termination Proofs for Rewriting Using Dependency Pairs . . . . . . . . . 21--58 Gema M. Diaz-Toca and Laureano Gonzalez-Vega Barnett's Theorems About the Greatest Common Divisor of Several Univariate Polynomials Through Bezout-like Matrices 59--81 Huah Chu and Ming-chang Kang Quartic Fields and Radical Extensions 83--89 Anonymous Journal of Symbolic Computation, Volume 33 Contents and Author Index . . . . . . i--vii
S. Kaplan and M. Teicher Identifying Half-Twists Using Randomized Algorithm Methods . . . . . . . . . . . 91--103 Driss Bouziane and Mhammed El Kahoui Computation of the Dual of a Plane Projective Curve . . . . . . . . . . . . 105--117 Alicia Dickenstein and Bernd Sturmfels Elimination Theory in Codimension $2$ 119--135 István Gaál On the Resolution of Resultant Type Equations . . . . . . . . . . . . . . . 137--144 George E. Collins and Jeremy R. Johnson and Werner Krandick Interval Arithmetic in Cylindrical Algebraic Decomposition . . . . . . . . 145--157
Mark Giesbrecht and Arne Storjohann Computing Rational Forms of Integer Matrices . . . . . . . . . . . . . . . . 157--172 Masanari Kida Potential Good Reduction of Elliptic Curves . . . . . . . . . . . . . . . . . 173--180 Marcus Hausdorf and Werner M. Seiler and Rainer Steinwandt Involutive Bases in the Weyl Algebra . . 181--198 Bernd Martin Algorithmic Computation of Flattenings and of Modular Deformations . . . . . . 199--212 Volker Gebhardt Efficient Collection in Infinite Polycyclic Groups . . . . . . . . . . . 213--228 Gregor Kemper The Calculation of Radical Ideals in Positive Characteristic . . . . . . . . 229--238
Steve Linton and Roberto Sebastiani Editorial: The Integration of Automated Reasoning and Computer Algebra Systems 239--239 Alessandro Armando and Michaël Rusinowitch and Sorin Stratulat Incorporating Decision Procedures in Implicit Induction . . . . . . . . . . . 241--258 James H. Davenport Equality in Computer Algebra and Beyond 259--270 Herman Geuvers and Randy Pollack and Freek Wiedijk and Jan Zwanenburg A Constructive Algebraic Hierarchy in Coq . . . . . . . . . . . . . . . . . . 271--286 Andreas Meier and Martin Pollet and Volker Sorge Comparing Approaches to the Exploration of the Domain of Residue Classes . . . . 287--306
R. James Shank and David L. Wehlau Computing Modular Invariants of $p$-groups . . . . . . . . . . . . . . . 307--327 Akalu Tefera MultInt, a MAPLE Package for Multiple Integration by the WZ Method . . . . . . 329--353 Olivier Cormier and Michael F. Singer and Barry M. Trager and Felix Ulmer Linear Differential Operators for Polynomial Equations . . . . . . . . . . 355--398 Edward Mosteig and Moss Sweedler Valuations and Filtrations . . . . . . . 399--435 Clemens Heuberger and Attila Peth and Robert F. Tichy Thomas' Family of Thue Equations Over Imaginary Quadratic Fields . . . . . . . 437--449 Chris Monico Computing the Primary Decomposition of Zero-dimensional Ideals . . . . . . . . 451--459 Bican Xia and Lu Yang An Algorithm for Isolating the Real Solutions of Semi-algebraic Systems . . 461--477
Joris van der Hoeven Relax, but Don't be Too Lazy . . . . . . 479--542 Philippe Aubry and Fabrice Rouillier and Mohab Safey El Din Real Solving for Positive Dimensional Systems . . . . . . . . . . . . . . . . 543--560 Markus Püschel Decomposing Monomial Representations of Solvable Groups . . . . . . . . . . . . 561--596 Werner M. Seiler Taylor and Lyubeznik Resolutions via Gröbner Bases . . . . . . . . . . . . . . 597--608 Anonymous Contents and Index of Volume 34 . . . . i--v
Anonymous Publisher's Note . . . . . . . . . . . . 1--2 Paolo Aluffi Computing characteristic classes of projective schemes . . . . . . . . . . . 3--19 Hans de Nivelle and Maarten de Rijke Deciding the guarded fragments by resolution . . . . . . . . . . . . . . . 21--58 Ronald Brown and Christopher D. Wensley Computation and homotopical applications of induced crossed modules . . . . . . . 59--72 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Miroslav N. Velev and Randal E. Bryant Effective use of Boolean satisfiability procedures in the formal verification of superscalar and VLIW microprocessors . . 73--106 M. R. Bush and M. Leeming and R. F. C. Walters Computing left Kan extensions . . . . . 107--126 Michael Fleming and Ryan Gunther and Robert Rosebrugh A database of categories . . . . . . . . 127--135 Susan B. Niefield Implementing finite structures in Mathematica via a skeletal topos of finite sets . . . . . . . . . . . . . . 137--151 Jinwang Liu and Zhuojun Liu and Mingsheng Wang The term orderings which are compatible with composition II . . . . . . . . . . 153--168 Serge Burckel A result on braids via the investigation of a rewriting system . . . . . . . . . 169--175 Teo Mora and Massimiliano Sala On the Gröbner bases of some symmetric systems and their application to coding theory . . . . . . . . . . . . . . . . . 177--194 Peter A. Brooksbank Constructive recognition of classical groups in their natural representation 195--239 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
John J. Cannon and Derek F. Holt Automorphism group computation and isomorphism testing in finite groups . . 241--267 Rosemary Baines and Peter Vámos An algorithm to compute the set of characteristics of a system of polynomial equations over the integers 269--279 Mhammed El Kahoui An elementary approach to subresultants theory . . . . . . . . . . . . . . . . . 281--292 Bao-Yin Zhang A new elementary algorithm for proving $q$-hypergeometric identities . . . . . 293--303 Wolfgang Schreiner and Christian Mittermaier and Karoly Bosa Distributed Maple: parallel computer algebra in networked environments . . . 305--347 Axel Riese qMultiSum --- a package for proving $q$-hypergeometric multiple summation identities . . . . . . . . . . . . . . . 349--376 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
T. Mulders and A. Storjohann On lattice reduction for polynomial matrices . . . . . . . . . . . . . . . . 377--401 Elizabeth A. Arnold Modular algorithms for computing Gröbner bases . . . . . . . . . . . . . . . . . 403--419 Colva M. Roney-Dougal and William R. Unger The affine primitive permutation groups of degree less than $ 1000 $ . . . . . . 421--439 Thomas Bayer An algorithm for computing invariants of linear actions of algebraic groups up to a given degree . . . . . . . . . . . . . 441--449 John B. Little and David Ortiz and Ricardo Ortiz-Rosado and Rebecca Pablo and Karen Ríos-Soto Some remarks on Fitzpatrick and Flynn's Gröbner basis technique for Padé approximation . . . . . . . . . . . . . 451--461 Anonymous Advert . . . . . . . . . . . . . . . . . CO3--CO3 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Wolfram Koepf and Karin Gatermann Preface to Computer Algebra and Computer Analysis . . . . . . . . . . . . . . . . 463--464 Amparo Gil and Javier Segura A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions . . . . . . . . . . . . . . . 465--485 François Lemaire An orderly linear PDE system with analytic initial conditions with a non-analytic solution . . . . . . . . . 487--498 Thomas Wolf The integration of systems of linear PDEs using conservation laws of syzygies 499--526 Uli Walther Cohomology, stratifications and parametric Gröbner bases in characteristic zero . . . . . . . . . . 527--542 Karin Gatermann Applications of SAGBI-bases in dynamics 543--575 Abdul Salam Jarrah and Reinhard Laubenbacher and Valery Romanovski The Sibirsky component of the center variety of polynomial differential systems . . . . . . . . . . . . . . . . 577--589 Pei Yu and Yuan Yuan A matching pursuit technique for computing the simplest normal forms of vector fields . . . . . . . . . . . . . 591--615 A. Jacquemard and M. A. Teixeira Computer analysis of periodic orbits of discontinuous vector fields . . . . . . 617--636 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Maurice Mignotte and Doru tef nescu Linear recurrent sequences and polynomial roots . . . . . . . . . . . . 637--649 Marc Rybowicz On the normalization of numbers and functions defined by radicals . . . . . 651--672 Aurora Olivieri and Ángel del Río An algorithm to compute the primitive central idempotents and the Wedderburn decomposition of a rational group algebra . . . . . . . . . . . . . . . . 673--687 Alain Lascoux and Piotr Pragacz Double Sylvester sums for subresultants and multi-Schur functions . . . . . . . 689--710 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Peter Baumgartner and Hantao Zhang Preface to First Order Theorem Proving 1--3 Nicolas Peltier Model building with ordered resolution: extracting models from saturated clause sets . . . . . . . . . . . . . . . . . . 5--48 Nicolas Peltier A calculus combining resolution and enumeration for building finite models 49--77 Anatoli Degtyarev and Robert Nieuwenhuis and Andrei Voronkov Stratified resolution . . . . . . . . . 79--99 Alexandre Riazanov and Andrei Voronkov Limited resource strategy in resolution theorem proving . . . . . . . . . . . . 101--115 Bernhard Beckert Depth-first proof search without backtracking for free-variable clausal tableaux . . . . . . . . . . . . . . . . 117--138 Jens Otten and Wolfgang Bibel \tt leanCoP: lean connection-based theorem proving . . . . . . . . . . . . 139--161 Lilia Georgieva and Ullrich Hustadt and Renate A. Schmidt Hyperresolution for guarded formulae . . 163--192 Alessandro Armando and Silvio Ranise Constraint contextual rewriting . . . . 193--216 J. Avenhaus and Th. Hillenbrand and B. Löchner On using ground joinable equations in equational theorem proving . . . . . . . 217--233 Reinhard Pichler On the complexity of equational problems in CNF . . . . . . . . . . . . . . . . . 235--269 Johan Gijsbertus Frederik Belinfante Computer proofs about finite and regular sets: the unifying concept of subvariance . . . . . . . . . . . . . . 271--285 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Marc Giusti and Luis M. Pardo Preface . . . . . . . . . . . . . . . . 287--287 Arthur D. Chtcherba and Deepak Kapur Exact resultants for corner-cut unmixed multivariate polynomial systems using the Dixon formulation . . . . . . . . . 289--315 Alicia Dickenstein and Ioannis Z. Emiris Multihomogeneous resultant formulae by means of complexes . . . . . . . . . . . 317--342 E. Fortuna and P. Gianni and P. Parenti and C. Traverso Algorithms to compute the topology of orientable real algebraic surfaces . . . 343--364 Erich Kaltofen and Wen-shin Lee Early termination in sparse interpolation algorithms . . . . . . . . 365--400 Mark Giesbrecht and Erich Kaltofen and Wen-shin Lee Algorithms for computing sparsest shifts of polynomials in power, Chebyshev, and Pochhammer bases . . . . . . . . . . . . 401--424 Amit Khetan The resultant of an unmixed bivariate system . . . . . . . . . . . . . . . . . 425--442 Ziming Li and Fritz Schwarz and Serguei P. Tsarev Factoring systems of linear PDEs with finite-dimensional solution spaces . . . 443--471 G. Matera and A. Sedoglavic Fast computation of discrete invariants associated to a differential rational mapping . . . . . . . . . . . . . . . . 473--499 Peter J. Olver Moving frames . . . . . . . . . . . . . 501--512 Renaud Rioboo Towards faster real algebraic numbers 513--533 Josef Schicho Simplification of surface parametrizations --- a lattice polygon approach . . . . . . . . . . . . . . . . 535--554 Éric Schost Complexity results for triangular sets 555--594 Michael Stillman Computing in algebraic geometry and commutative algebra using Macaulay 2 . . 595--611 Arne Storjohann High-order lifting and integrality certification . . . . . . . . . . . . . 613--648 Akira Suzuki and Yosuke Sato An alternative approach to comprehensive Gröbner bases . . . . . . . . . . . . . . 649--667 Volker Weispfenning Canonical comprehensive Gröbner bases . . 669--683 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Jan Draisma Constructing Lie algebras of first order differential operators . . . . . . . . . 685--698 Falai Chen and Wenping Wang Revisiting the $ \mu $-basis of a rational ruled surface . . . . . . . . . 699--716 Hongbo Li and Yihong Wu Automated short proof generation for projective geometric theorems with Cayley and bracket algebras: I. Incidence geometry . . . . . . . . . . . 717--762 Hongbo Li and Yihong Wu Automated short proof generation for projective geometric theorems with Cayley and bracket algebras: II. Conic geometry . . . . . . . . . . . . . . . . 763--809 Xiao-Shan Gao Implicitization of differential rational parametric equations . . . . . . . . . . 811--824 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Manfred Minimair Dense resultant of composed polynomials: Mixed--mixed case . . . . . . . . . . . 825--834 Joost Berson and Arno van den Essen An algorithm to find a coordinate's mate 835--843 Jesús Gago-Vargas Bases for projective modules in $ A_n(k) $ . . . . . . . . . . . . . . . . . . . 845--853 Felix Ulmer Liouvillian solutions of third order differential equations . . . . . . . . . 855--889 Viorica Sofronie-Stokkermans Resolution-based decision procedures for the universal theory of some classes of distributive lattices with operators . . 891--924 Sonia Pérez-Díaz and J. Rafael Sendra Computing all parametric solutions for blending parametric surfaces . . . . . . 925--964 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Anonymous Editorial Board . . . . . . . . . . . . 1--1 Guillem Godoy and Robert Nieuwenhuis Superposition with completely built-in Abelian groups . . . . . . . . . . . . . 1--33 W. Eberly and M. Giesbrecht Efficient decomposition of separable algebras . . . . . . . . . . . . . . . . 35--81 Zeng Guangxing and Zeng Xiaoning An effective decision method for semidefinite polynomials . . . . . . . . 83--99 Mao-Ching Foo and Eng-Wee Chionh Corner edge cutting and Dixon $ \mathcal {A} $-resultant quotients . . . . . . . 101--119 Anonymous Contents . . . . . . . . . . . . . . . . 121--125 Anonymous Index . . . . . . . . . . . . . . . . . 127--132
Jeremy R. Johnson and José M. F. Moura and Markus Püschel and Daniel Rockmore Special issue on computer algebra and signal processing: forward by the guest editors . . . . . . . . . . . . . . . . 133--135 M. Clausen and M. Müller Generating fast Fourier transforms of solvable groups . . . . . . . . . . . . 137--156 Sebastian Egner and Markus Püschel Symmetry-based matrix factorization . . 157--186 Richard Foote and Gagan Mirchandani and Daniel Rockmore Two-dimensional wreath product group-based image processing . . . . . . 187--207 Hyungju Park Symbolic computation and signal processing . . . . . . . . . . . . . . . 209--226 Jérôme Lebrun and Ivan Selesnick Gröbner bases and wavelet design . . . . 227--259 Jeremy R. Johnson and Anthony F. Breitzman Automatic derivation and implementation of fast convolution algorithms . . . . . 261--293 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
E. Ballico and F. Orecchia Computing minimal generators of the ideal of a general projective curve . . 295--304 Serge Burckel Elementary decompositions of arbitrary maps over finite sets . . . . . . . . . 305--310 I. Th. Famelis and S. N. Papakostas and Ch. Tsitouras Symbolic derivation of Runge--Kutta order conditions . . . . . . . . . . . . 311--327 \cStefan Andrei and Wei-Ngan Chin Solving a class of higher-order equations over a group structure . . . . 329--341 Friedrich Otto and Olga Sokratova Reduction relations for monoid semirings 343--376 Min-Ho Ahn and Gwang-Il Kim Characterization of Pythagorean curves and Pythagoreanization using a rational transform . . . . . . . . . . . . . . . 377--389 G. Hanrot and P. Zimmermann A long note on Mulders' short product 391--401 Juan Migliore and Chris Peterson A symbolic test for $ (i, j)$-uniformity in reduced zero-dimensional schemes . . 403--413 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Andrew V. Sills RRtools --- a Maple package for aiding the discovery and proof of finite Rogers--Ramanujan type identities . . . 415--448 Hoon Hong Note on Jacobi's method for approximating dominant roots . . . . . . 449--453 Alberto Oliart and Wayne Snyder Fast algorithms for uniform semi-unification . . . . . . . . . . . . 455--484 T. Mulders and A. Storjohann Certified dense linear system solving 485--510 Hervé Perdry Strongly Noetherian rings and constructive ideal theory . . . . . . . 511--535 Hongbo Shi Computation of the finitistic dimension of monomial algebras . . . . . . . . . . 537--546 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Nicolas Rennert A parallel multi-modular algorithm for computing Lagrange resolvents . . . . . 547--556 David Rupprecht Semi-numerical absolute factorization of polynomials with integer coefficients 557--574 Edgar Martínez-Moro Regular representations of finite-dimensional separable semisimple algebras and Gröbner bases . . . . . . . 575--587 John Cannon and Derek F. Holt Computing maximal subgroups of finite groups . . . . . . . . . . . . . . . . . 589--609 Kouichi Hirata and Keizo Yamada and Masateru Harao Tractable and intractable second-order matching problems . . . . . . . . . . . 611--628 J. M. Ucha and F. J. Castro-Jiménez On the computation of Bernstein--Sato ideals . . . . . . . . . . . . . . . . . 629--639 Karim Belabas A relative van Hoeij algorithm over number fields . . . . . . . . . . . . . 641--668 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
D. Baldwin and Ü. Gökta\vs and W. Hereman and L. Hong and R. S. Martino and J. C. Miller Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs . . . . . . 669--705 Marcelo Fiore and Tom Leinster An objective representation of the Gaussian integers . . . . . . . . . . . 707--716 Juan Elias On the computation of the Ratliff--Rush closure . . . . . . . . . . . . . . . . 717--725 Dan Bernstein The computational complexity of rules for the character table of $ S_n $ . . . 727--748 Ana Marco and José-Javier Martínez Parallel computation of determinants of matrices with polynomial entries . . . . 749--760 Nick T. Koussoulas and Photis Skiadas Symbolic computation for mobile robot path planning . . . . . . . . . . . . . 761--775 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Arthur D. Chtcherba and Deepak Kapur Constructing Sylvester-type resultant matrices using the Dixon formulation . . 777--814 Yong-Bin Li Applications of the theory of weakly nondegenerate conditions to zero decomposition for polynomial systems . . 815--832 Claus Fieker Minimizing representations over number fields . . . . . . . . . . . . . . . . . 833--842 Cristina Blanco and Gabriela Jeronimo and Pablo Solernó Computing generators of the ideal of a smooth affine algebraic variety . . . . 843--872 Claude Marché and Xavier Urbain Modular and incremental proofs of AC-termination . . . . . . . . . . . . . 873--897 Dongming Wang A simple method for implicitizing rational curves and surfaces . . . . . . 899--914 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
A. D. Chtcherba and D. Kapur Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation . . . . . . . . . . . 915--958 J. A. De Loera and D. Haws and R. Hemmecke and P. Huggins and B. Sturmfels and R. Yoshida Short rational functions for toric algebra and applications . . . . . . . . 959--973 Anne Fredet Linear differential equations in exponential extensions . . . . . . . . . 975--1002 Lenwood S. Heath and Nicholas A. Loehr New algorithms for generating Conway polynomials over finite fields . . . . . 1003--1024 María-Jesús Pisabarro Computing lattice ideals of unions of monomial curves . . . . . . . . . . . . 1025--1042 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Thomas Cluzeau and Mark van Hoeij A modular algorithm for computing the exponential solutions of a linear differential operator . . . . . . . . . 1043--1076 Graham Ellis Computing group resolutions . . . . . . 1077--1118 Haibao Duan and Xu-an Zhao and Xuezhi Zhao The Cartan matrix and enumerative calculus . . . . . . . . . . . . . . . . 1119--1144 Clemens Heuberger and Alain Togbé and Volker Ziegler Automatic solution of families of Thue equations and an example of degree $8$ 1145--1163 S. A. Abramov and M. Petkov\vsek Erratum to ``Rational normal forms and minimal decompositions of hypergeometric terms'' [J. Symbolic Comput. \bf 33 (2002) 521--543] . . . . . . . . . . . . 1165--1165 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Arjeh M. Cohen and Xiao-Shan Gao and Nobuki Takayama Editorial . . . . . . . . . . . . . . . 1167--1168 M. Caboara and M. Kreuzer and L. Robbiano Efficiently computing minimal sets of critical pairs . . . . . . . . . . . . . 1169--1190 Anne Frühbis-Krüger Partial standard bases as a tool for studying families of singularities . . . 1191--1205 Mathias Schulze A normal form algorithm for the Brieskorn lattice . . . . . . . . . . . 1207--1225 Masayuki Noro and Kazuhiro Yokoyama Implementation of prime decomposition of polynomial ideals over small finite fields . . . . . . . . . . . . . . . . . 1227--1246 Michael Joswig and Günter M. Ziegler Convex hulls, oracles, and homology . . 1247--1259 Komei Fukuda From the zonotope construction to the Minkowski addition of convex polytopes 1261--1272 Jesús A. De Loera and Raymond Hemmecke and Jeremiah Tauzer and Ruriko Yoshida Effective lattice point counting in rational convex polytopes . . . . . . . 1273--1302 S. A. Abramov and J. J. Carette and K. O. Geddes and H. Q. Le Telescoping in the context of symbolic summation in Maple . . . . . . . . . . . 1303--1326 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Lê Tuân Hoa and Eero Hyry Castelnuovo--Mumford regularity of initial ideals . . . . . . . . . . . . . 1327--1341 Thom Mulders Certified sparse linear system solving 1343--1373 Marco Bozzano and Giorgio Delzanno Automatic verification of secrecy properties for linear logic specifications of cryptographic protocols . . . . . . . . . . . . . . . 1375--1415 Arnaud Bodin Computation of Milnor numbers and critical values at infinity . . . . . . 1417--1427 Xavier-François Roblot Polynomial factorization algorithms over number fields . . . . . . . . . . . . . 1429--1443 John J. Cannon and Bettina Eick and Charles R. Leedham-Green Special polycyclic generating sequences for finite soluble groups . . . . . . . 1445--1460 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Shuhong Gao and Erich Kaltofen and Alan G. B. Lauder Deterministic distinct-degree factorization of polynomials over finite fields . . . . . . . . . . . . . . . . . 1461--1470 Peter Kirschenhofer and Jörg M. Thuswaldner Elements of small norm in Shanks' cubic extensions of imaginary quadratic fields 1471--1486 Rikard Bògvad and Thomas Meyer On algorithmically checking whether a Hilbert series comes from a complete intersection . . . . . . . . . . . . . . 1487--1506 George E. Collins Single-factor coefficient bounds . . . . 1507--1521 Nicoleta B\^\il\ua and Jitse Niesen On a new procedure for finding nonclassical symmetries . . . . . . . . 1523--1533 Anton Leykin Algorithmic proofs of two theorems of Stafford . . . . . . . . . . . . . . . . 1535--1550 E. Fortuna and P. Gianni and D. Luminati Algorithmical determination of the topology of a real algebraic surface . . 1551--1567 Anonymous Contents of Volumes 37 and 38 . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2 Anonymous Index to Volumes 37 and 38 . . . . . . . ??
Alexander Hulpke Constructing transitive permutation groups . . . . . . . . . . . . . . . . . 1--30 J. Abbott and M. Kreuzer and L. Robbiano Computing zero-dimensional schemes . . . 31--49 Hans-Christian Graf v.Bothmer and Cord Erdenberger and Katharina Ludwig A new family of rational surfaces in $ P^4 $ . . . . . . . . . . . . . . . . . 51--60 M'hammed El Kahoui Birational properties of the gap subresultant varieties . . . . . . . . . 61--71 William A. Adkins and J. William Hoffman and Hao Hao Wang Equations of parametric surfaces with base points via syzygies . . . . . . . . 73--101 Mathias Schulze Good bases for tame polynomials . . . . 103--126 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Ruth L. Auerbach The Gröbner fan and Gröbner walk for modules . . . . . . . . . . . . . . . . 127--153 William Y. C. Chen and Qing-Hu Hou and Yan-Ping Mu Applicability of the $q$-analogue of Zeilberger's algorithm . . . . . . . . . 155--170 Markus Rosenkranz A new symbolic method for solving linear two-point boundary value problems on the level of operators . . . . . . . . . . . 171--199 Mohamud Mohammed and Doron Zeilberger Sharp upper bounds for the orders of the recurrences output by the Zeilberger and $q$-Zeilberger algorithms . . . . . . . 201--207 Maria Paola Bonacina Towards a unified model of search in theorem-proving: subgoal-reduction strategies . . . . . . . . . . . . . . . 209--255 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Arjeh M. Cohen and Gert-Martin Greuel and Marie-Françoise Roy Preface . . . . . . . . . . . . . . . . 257--258 Carlos D'Andrea and Gabriela Jeronimo Subresultants and generic monomial bases 259--277 Jan Draisma Representation theory on the open Bruhat cell . . . . . . . . . . . . . . . . . . 279--303 E. Fortuna and P. Gianni and B. Trager Irreducible decomposition of polynomial ideals . . . . . . . . . . . . . . . . . 305--316 Laurent Busé and André Galligo Semi-implicit representations of surfaces in $ {\mathbb {P}^3} $, resultants and applications . . . . . . 317--329 Luis David Garcia and Michael Stillman and Bernd Sturmfels Algebraic geometry of Bayesian networks 331--355 Harm Derksen and Emmanuel Jeandel and Pascal Koiran Quantum automata and algebraic groups 357--371 David Helm and Ezra Miller Algorithms for graded injective resolutions and local cohomology over semigroup rings . . . . . . . . . . . . 373--395 B. Mourrain Bezoutian and quotient ring structure 397--415 Michel Granger and Toshinori Oaku and Nobuki Takayama Tangent cone algorithm for homogenized differential operators . . . . . . . . . 417--431 Joris van der Hoeven Effective analytic functions . . . . . . 433--449 Marius van der Put Galois theory and algorithms for linear differential equations . . . . . . . . . 451--463 Orlando Villamayor U. On constructive desingularization . . . 465--491 Uli Walther Algorithmic stratification of $ \mathbb {R} \mathcal {H} \mathrm {om}_{\mathcal {D}}(\mathcal {M}, \mathcal {N}) $ for regular algebraic $ \mathcal {D} $-modules on $ \mathbb {C}^n $ . . . . . 493--499 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Olga Caprotti and Volker Sorge Integration of automated reasoning and computer algebra systems . . . . . . . . 501--502 Alessandro Armando and Clemens Ballarin A reconstruction and extension of Maple's assume facility via constraint contextual rewriting . . . . . . . . . . 503--521 Michael Beeson and Freek Wiedijk The meaning of infinity in calculus and computer algebra systems . . . . . . . . 523--538 Hanne Gottliebsen and Tom Kelsey and Ursula Martin Hidden verification for computational mathematics . . . . . . . . . . . . . . 539--567 David Delahaye and Micaela Mayero Dealing with algebraic expressions over a field in Coq using Maple . . . . . . . 569--592 Simon Colton Automated conjecture making in number theory using HR, Otter and Maple . . . . 593--615 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Michael E. Pohst Factoring polynomials over global fields I . . . . . . . . . . . . . . . . . . . 617--630 Xu-an Zhao and Hongzhu Gao and Xiaole Su Homotopy classification of maps between simply connected four manifolds . . . . 631--642 Ivan Bjerre Damgård and Gudmund Skovbjerg Frandsen Efficient algorithms for the gcd and cubic residuosity in the ring of Eisenstein integers . . . . . . . . . . 643--652 Christopher J. Hillar Cyclic resultants . . . . . . . . . . . 653--669 Vahid Dabbaghian-Abdoly An algorithm for constructing representations of finite groups . . . . 671--688 Falai Chen and David Cox and Yang Liu The $ \mu $-basis and implicitization of a rational parametric surface . . . . . 689--706 Henri Lombardi and Ihsen Yengui Suslin's algorithms for reduction of unimodular rows . . . . . . . . . . . . 707--717 Juan Gerardo Alcázar and J. Rafael Sendra Computation of the topology of real algebraic space curves . . . . . . . . . 719--744 Anonymous Editorial Board . . . . . . . . . . . . CO2--CO2
Bernhard Gramlich and Salvador Lucas Reduction strategies in rewriting and programming . . . . . . . . . . . . . . 745--747 Pierre Réty and Julie Vuotto Tree automata for rewrite strategies . . 749--794 Elvira Albert and Michael Hanus and Frank Huch and Javier Oliver and Germán Vidal Operational semantics for declarative multi-paradigm languages . . . . . . . . 795--829 Eelco Visser A survey of strategies in rule-based program transformation systems . . . . . 831--873 Sergio Antoy Evaluation strategies for functional logic programming . . . . . . . . . . . 875--903
Manfred Schmidt-Schauß and Klaus U. Schulz Decidability of bounded higher-order unification . . . . . . . . . . . . . . 905--954 William Y. C. Chen and Husam L. Saad On the Gosper--Petkov\vsek representation of rational functions . . 955--963 Elizabeth Gasparim and Irena Swanson Computing instanton numbers of curve singularities . . . . . . . . . . . . . 965--978 Sebastian Gann and Herwig Hauser Perfect bases for differential equations 979--997 Josep \`Alvarez Montaner Operations with regular holonomic $ \mathcal {D} $-modules with support a normal crossing . . . . . . . . . . . . 999--1012 John J. Cannon and Derek F. Holt and Michael Slattery and Allan K. Steel Computing subgroups of bounded index in a finite group . . . . . . . . . . . . . 1013--1022
Aldo Conca and Jessica Sidman Generic initial ideals of points and curves . . . . . . . . . . . . . . . . . 1023--1038 Manuel García Román and Socorro García Román Gröbner bases and syzygies on bimodules over PBW algebras . . . . . . . . . . . 1039--1052 Allan Steel Conquering inseparability: Primary decomposition and multivariate factorization over algebraic function fields of positive characteristic . . . 1053--1075 J. Gago-Vargas and M. I. Hartillo-Hermoso and J. M. Ucha-Enríquez Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials . . . 1076--1086 Anna Torstensson and Victor Ufnarovski and Hans Öfverbeck Using resultants for SAGBI basis verification in the univariate polynomial ring . . . . . . . . . . . . 1087--1105 J. D. Phillips and Petr Vojt\vechovský Linear groupoids and the associated wreath products . . . . . . . . . . . . 1106--1125 Christopher J. Hillar Erratum to ``Cyclic resultants'' [J. Symbolic Comput. \bf 39 (6) (2005) 653--669] . . . . . . . . . . . . . . . 1126--1127
Ilias S. Kotsireas and Alkiviadis G. Akritas and Stanly L. Steinberg and Michael J. Wester Foreword to the special issue on applications of computer algebra . . . . 1129--1130 Joachim Apel and Ralf Hemmecke Detecting unnecessary reductions in an involutive basis computation . . . . . . 1131--1149 Laurent Busé and Marc Chardin Implicitizing rational hypersurfaces using approximation complexes . . . . . 1150--1168 E. Fortuna and P. Gianni and P. Parenti Some constructions for real algebraic curves . . . . . . . . . . . . . . . . . 1169--1179 Karin Gatermann and Serkan Hosten Computational algebra for bifurcation theory . . . . . . . . . . . . . . . . . 1180--1207 Rocio Gonzalez-Diaz and Pedro Real Simplification techniques for maps in simplicial topology . . . . . . . . . . 1208--1224 Nik Lygeros and Paul-Val\`ere Marchand and Marc Massot Enumeration and $3$D representation of the stereo-isomers of alkane molecules 1225--1241 Richard Moeckel Sturm's algorithm and isolating blocks 1242--1255 Jesús F. Palacián and Patricia Yanguas Asymptotic invariant tori of perturbed two-body problems . . . . . . . . . . . 1256--1268
Björn Assmann and Bettina Eick Computing polycyclic presentations for polycyclic rational matrix groups . . . 1269--1284 Lawrence H. Smith On ordering free groups . . . . . . . . 1285--1290 Josef Schicho and Ibolya Szilágyi Numerical stability of surface implicitization . . . . . . . . . . . . 1291--1301 Liqun Qi Eigenvalues of a real supersymmetric tensor . . . . . . . . . . . . . . . . . 1302--1324 José Méndez Omaña and Michael E. Pohst Factoring polynomials over global fields II . . . . . . . . . . . . . . . . . . . 1325--1339 Mustapha Er-Riani and Olivier Sero-Guillaume Shapes of liquid drops obtained using symbolic computation . . . . . . . . . . 1340--1360 Karin Gatermann and Markus Eiswirth and Anke Sensse Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems 1361--1382 K. Subramani and D. Desovski Out of order quantifier elimination for Standard Quantified Linear Programs . . 1383--1396 Anonymous Index . . . . . . . . . . . . . . . . . vi--x
Alin Bostan and Philippe Flajolet and Bruno Salvy and Éric Schost Fast computation of special resultants 1--29 Ibolya Szilágyi and Bert Jüttler and Josef Schicho Local parametrization of cubic surfaces 30--48 Werner Krandick and Kurt Mehlhorn New bounds for the Descartes method . . 49--66 G. Belitskii and R. Lipyanski The unification type of the Pythagorean equation in varieties of nilpotent rings 67--79 John W. Jones and David P. Roberts A database of local fields . . . . . . . 80--97 Micah J. Leamer Gröbner finite path algebras . . . . . . 98--111 Giuseppa Carrá Ferro Ideals, bifiltered modules and bivariate Hilbert polynomials . . . . . . . . . . 112--121 Min-Ho Ahn and Gwang-Il Kim Retraction notice to ``Characterization of Pythagorean curves and Pythagoreanization using a rational transform'' [J. Symbolic Comput. \bf 37 (3) (2004) 377--389] . . . . . . . . . . 122--122
Serkan Ho\csten and Christopher Meek Preface . . . . . . . . . . . . . . . . 123--124 Ingileif B. Hallgrímsdóttir and Bernd Sturmfels Resultants in genetic linkage analysis 125--137 Elizabeth S. Allman and John A. Rhodes Phylogenetic invariants for stationary base composition . . . . . . . . . . . . 138--150 Eric H. Kuo Viterbi sequences and polytopes . . . . 151--163 Fabio Rapallo Markov bases and structural zeros . . . 164--172 Jesús A. De Loera and Shmuel Onn Markov bases of three-way tables are arbitrarily complicated . . . . . . . . 173--181 Persi Diaconis and Nicholas Eriksson Markov bases for noncommutative Fourier analysis of ranked data . . . . . . . . 182--195 Aleksandra B. Slavkovic and Seth Sullivant The space of compatible full conditionals is a unimodular toric variety . . . . . . . . . . . . . . . . 196--209 Giovanni Pistone and Henry P. Wynn Cumulant varieties . . . . . . . . . . . 210--221 Nicholas Eriksson and Stephen E. Fienberg and Alessandro Rinaldo and Seth Sullivant Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models . . . . . . . . . . . 222--233 Max-Louis G. Buot and Donald St. P. Richards Counting and locating the solutions of polynomial systems of maximum likelihood equations, I . . . . . . . . . . . . . . 234--244 Mathias Drton Computing all roots of the likelihood equations of seemingly unrelated regressions . . . . . . . . . . . . . . 245--254
Hoon Hong and Deepak Kapur and Peter Paule and Franz Winkler and Faculty of RISC-Linz Bruno Buchberger --- a life devoted to symbolic computation . . . . . . . . . . 255--258 Deepak Kapur Preface on the contributed papers . . . 259--260 Werner Heiß and Ulrich Oberst and Franz Pauer On inverse systems and squarefree decomposition of zero-dimensional polynomial ideals . . . . . . . . . . . 261--284 Volker Weispfenning Comprehensive Gröbner bases and regular rings . . . . . . . . . . . . . . . . . 285--296 Lothar Gerritzen Tree polynomials and non-associative Gröbner bases . . . . . . . . . . . . . . 297--316 F. J. Castro-Jiménez and J. M. Ucha-Enríquez Gröbner bases and logarithmic $ {\cal D} $-modules . . . . . . . . . . . . . . . 317--335 Giandomenico Boffi and Fabio Rossi Lexicographic Gröbner bases for transportation problems of format $ r \times 3 \times 3 $ . . . . . . . . . . 336--356 Leonid Bokut and Andrei Vesnin Gröbner--Shirshov bases for some braid groups . . . . . . . . . . . . . . . . . 357--371 Thomas Beth and Jörn Müller-Quade and Rainer Steinwandt Computing restrictions of ideals in finitely generated $k$-algebras by means of Buchberger's algorithm . . . . . . . 372--380 Matthias Baaz and Alexander Leitsch Towards a clausal analysis of cut-elimination . . . . . . . . . . . . 381--410 Koji Nakagawa Logicographic symbols . . . . . . . . . 411--434 Wolfgang Windsteiger An automated prover for Zermelo--Fraenkel set theory in Theorema 435--470 Bruno Buchberger Comments on the translation of my PhD thesis . . . . . . . . . . . . . . . . . 471--474 Bruno Buchberger Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal . . . . . . 475--511
Bernhard Beckermann and Howard Cheng and George Labahn Fraction-free row reduction of matrices of Ore polynomials . . . . . . . . . . . 513--543 Martin Bright Brauer groups of diagonal quartic surfaces . . . . . . . . . . . . . . . . 544--558 Vincent Vatter Finitely labeled generating trees and restricted permutations . . . . . . . . 559--572 Ronald Brown and Neil Ghani and Anne Heyworth and Christopher D. Wensley String rewriting for double coset systems . . . . . . . . . . . . . . . . 573--590 Manfred Minimair Resultants of partially composed polynomials . . . . . . . . . . . . . . 591--602 S. C. Coutinho and L. Menasché Schechter Algebraic solutions of holomorphic foliations: An algorithmic approach . . 603--618 Giuseppa Carrá Ferro Erratum to ``Ideals, bifiltered modules and bivariate Hilbert polynomials'' [J. Symbolic Comput. \bf 41 (2006) 112--121] 619--619
Zhendong Wan An algorithm to solve integer linear systems exactly using numerical methods 621--632 Martin Bendersky and Richard C. Churchill Normal forms in a cyclically graded Lie algebra . . . . . . . . . . . . . . . . 633--662 Bálint Felszeghy and Balázs Ráth and Lajos Rónyai The lex game and some applications . . . 663--681 Guillaume Ch\`eze and André Galligo From an approximate to an exact absolute polynomial factorization . . . . . . . . 682--696 Masaaki Kanno and Malcolm C. Smith Validated numerical computation of the $ {\cal L}_\infty $-norm for linear dynamical systems . . . . . . . . . . . 697--707 Bernhard Beckermann and George Labahn and Gilles Villard Normal forms for general polynomial matrices . . . . . . . . . . . . . . . . 708--737
Ruyong Feng and Xiao-Shan Gao A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs . . . . . . . . . 739--762 Domenico Cantone and Gianluca Cincotti and Giovanni Gallo Decision algorithms for fragments of real analysis. I. Continuous functions with strict convexity and concavity predicates . . . . . . . . . . . . . . . 763--789 A. Bérczes and A. Peth\Ho and V. Ziegler Parameterized norm form equations with arithmetic progressions . . . . . . . . 790--810 Richard Henderson and Todd Macedo and Sam Nelson Symbolic computation with finite quandles . . . . . . . . . . . . . . . . 811--817 A. D. Myasnikov and R. M. Haralick A hybrid search algorithm for the Whitehead minimization problem . . . . . 818--834 Vesselin Drensky and Roberto La Scala Gröbner bases of ideals invariant under endomorphisms . . . . . . . . . . . . . 835--846
W. R. Unger Computing the character table of a finite group . . . . . . . . . . . . . . 847--862 Guangxing Zeng Determination of the tangents for a real plane algebraic curve . . . . . . . . . 863--886 Saeed Rajaee Non-associative Gröbner bases . . . . . . 887--904 Takashi Wada and Hidefumi Ohsugi Gröbner bases of Hilbert ideals of alternating groups . . . . . . . . . . . 905--908 Jamil Baddoura Integration in finite terms with elementary functions and dilogarithms 909--942
Isaac A. García and Jaume Giné and Maite Grau A necessary condition in the monodromy problem for analytic differential equations on the plane . . . . . . . . . 943--958 Joris van der Hoeven Counterexamples to witness conjectures 959--963 Annegret Weng Computing generators of the tame kernel of a global function field . . . . . . . 964--979 Clemens Heuberger All solutions to Thomas' family of Thue equations over imaginary quadratic number fields . . . . . . . . . . . . . 980--998 Freyja Hreinsdóttir An improved term ordering for the ideal of commuting matrices . . . . . . . . . 999--1003 Joris van der Hoeven and John Shackell Complexity bounds for zero-test algorithms . . . . . . . . . . . . . . . 1004--1020 Adam W. Strzebo\'nski Cylindrical Algebraic Decomposition using validated numerics . . . . . . . . 1021--1038 Manuel Kauers SumCracker: a package for manipulating symbolic sums and related objects . . . 1039--1057
A. Romero and J. Rubio and F. Sergeraert Computing spectral sequences . . . . . . 1059--1079 Arnold Schönhage Polynomial root separation examples . . 1080--1090 Oleg Golubitsky Gröbner fan and universal characteristic sets of prime differential ideals . . . 1091--1104 Isabel Bermejo and Philippe Gimenez and Marcel Morales Castelnuovo--Mumford regularity of projective monomial varieties of codimension two . . . . . . . . . . . . 1105--1124 Saugata Basu Computing the first few Betti numbers of semi-algebraic sets in single exponential time . . . . . . . . . . . . 1125--1154
Andreas Dolzmann and Thomas Sturm Editorial . . . . . . . . . . . . . . . 1155--1156 Christopher W. Brown and M'hammed El Kahoui and Dominik Novotni and Andreas Weber Algorithmic methods for investigating equilibria in epidemic modeling . . . . 1157--1173 Gema M. Diaz-Toca Galois theory, splitting fields and computer algebra . . . . . . . . . . . . 1174--1186 Mario Fioravanti and Laureano Gonzalez-Vega and Ioana Necula Computing the intersection of two ruled surfaces by using a new algebraic approach . . . . . . . . . . . . . . . . 1187--1205 Armin Größlinger and Martin Griebl and Christian Lengauer Quantifier elimination in automatic loop parallelization . . . . . . . . . . . . 1206--1221 Jaime Gutierrez and David Sevilla Computation of unirational fields . . . 1222--1244 Montserrat Manubens and Antonio Montes Improving the DISPGB algorithm using the discriminant ideal . . . . . . . . . . . 1245--1263 Birgit Reinert Gröbner bases in function rings --- a guide for introducing reduction relations to algebraic structures . . . 1264--1294
William N. Traves Differential operators on orbifolds . . 1295--1308 Liqun Qi Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines . . . . . . . . 1309--1327 Josep \`Alvarez Montaner and Anton Leykin Computing the support of local cohomology modules . . . . . . . . . . . 1328--1344 Andrea Previtali Irreducible constituents of monomial representations . . . . . . . . . . . . 1345--1359 Thorsten Theobald On the frontiers of polynomial computations in tropical geometry . . . 1360--1375 Anonymous Index to Volume 41 . . . . . . . . . . . ??
Alicia Dickenstein and Patrizia Gianni and Tomás Recio Foreword from the Editors . . . . . . . 1--3 Carlos Beltrán and Luis Miguel Pardo On the probability distribution of singular varieties of given corank . . . 4--29 Ivo Bleylevens and Ralf Peeters and Bernard Hanzon Efficiency improvement in an $n$D systems approach to polynomial optimization . . . . . . . . . . . . . . 30--53 T. Bogart and A. N. Jensen and D. Speyer and B. Sturmfels and R. R. Thomas Computing tropical varieties . . . . . . 54--73 Massimo Caboara and Sara Faridi and Peter Selinger Simplicial cycles and the computation of simplicial trees . . . . . . . . . . . . 74--88 Antonio Campillo and Gert-Martin Greuel and Christoph Lossen Equisingular calculations for plane curve singularities . . . . . . . . . . 89--114 Raymond Curran and Eduardo Cattani Restriction of $A$-discriminants and dual defect toric varieties . . . . . . 115--135 A. Galligo and M. Stillman On the geometry of parametrized bicubic surfaces . . . . . . . . . . . . . . . . 136--158 Giulio Genovese Improving the algorithms of Berlekamp and Niederreiter for factoring polynomials over finite fields . . . . . 159--177 A. Hefez and M. E. Hernandes Standard bases for local rings of branches and their modules of differentials . . . . . . . . . . . . . 178--191 Xavier Hernández and Josep M. Miret and Sebasti\`a Xambó-Descamps Computing the characteristic numbers of the variety of nodal plane cubics in $ \mathbb {P}^3 $ . . . . . . . . . . . . 192--202 Evelyne Hubert and Irina A. Kogan Rational invariants of a group action. Construction and rewriting . . . . . . . 203--217 Gabriela Jeronimo and Juan Sabia Computing multihomogeneous resultants using straight-line programs . . . . . . 218--235 Joris van der Hoeven Around the numeric--symbolic computation of differential Galois groups . . . . . 236--264
Michael P. Barnett Mathscape and molecular integrals . . . 265--289 Carlos D'Andrea and Hoon Hong and Teresa Krick and Agnes Szanto An elementary proof of Sylvester's double sums for subresultants . . . . . 290--297 K. Fukuda and A. N. Jensen and N. Lauritzen and R. Thomas The generic Gröbner walk . . . . . . . . 298--312 Eivind Eriksen and Trond Stòlen Gustavsen Computing obstructions for existence of connections on modules . . . . . . . . . 313--323 Andreas Dolzmann and Volker Weispfenning Multiple object semilinear motion planning . . . . . . . . . . . . . . . . 324--337 Juan Gerardo Alcazar and Juan Rafael Sendra Local shape of offsets to algebraic curves . . . . . . . . . . . . . . . . . 338--351 Temur Kutsia Solving equations with sequence variables and sequence functions . . . . 352--388
Joris van der Hoeven Efficient accelero-summation of holonomic functions . . . . . . . . . . 389--428 Hitoshi Koshita An example of relations on the Ext-quiver for the Suzuki group Sz(8) in characteristic $2$ . . . . . . . . . . . 429--442 E. Rodríguez-Carbonell and D. Kapur Generating all polynomial invariants in simple loops . . . . . . . . . . . . . . 443--476 Grégoire Lecerf Improved dense multivariate polynomial factorization algorithms . . . . . . . . 477--494
Quoc-Nam Tran Special issue on Applications of Computer Algebra . . . . . . . . . . . . 495--496 Jennifer R. Daniel and Aloysius G. Helminck Computing the fine structure of real reductive symmetric spaces . . . . . . . 497--510 Helena Verrill and David Joyner Computing with toric varieties . . . . . 511--532 Quoc-Nam Tran A new class of term orders for elimination . . . . . . . . . . . . . . 533--548 Alain Bretto and Alain Faisant and Luc Gillibert $G$-graphs: a new representation of groups . . . . . . . . . . . . . . . . . 549--560 Alexander B. Levin Gröbner bases with respect to several orderings and multivariable dimension polynomials . . . . . . . . . . . . . . 561--578
Jana Pílniková Trivializing a central simple algebra of degree 4 over the rational numbers . . . 579--586 Ioana Dumitriu and Alan Edelman and Gene Shuman MOPS: Multivariate orthogonal polynomials (symbolically) . . . . . . . 587--620 Marcin Dumnicki and Witold Jarnicki New effective bounds on the dimension of a linear system in $ \mathbb {P}^2 $ . . 621--635 Daniel Lazard and Fabrice Rouillier Solving parametric polynomial systems 636--667 Michael C. Slattery Generation of groups of square-free order . . . . . . . . . . . . . . . . . 668--677 Juan Gerardo Alcazar and Josef Schicho and Juan Rafael Sendra A delineability-based method for computing critical sets of algebraic surfaces . . . . . . . . . . . . . . . . 678--691
Marc Moreno Maza and Greg Reid and Robin Scott and Wenyuan Wu On approximate triangular decompositions in dimension zero . . . . . . . . . . . 693--716 Hoon Hong and John Perry Are Buchberger's criteria necessary for the chain condition? . . . . . . . . . . 717--732 Howard Cheng and George Labahn Output-sensitive modular algorithms for polynomial matrix normal forms . . . . . 733--750 Chi-Ming Lam and Vladimir Shpilrain and Jie-Tai Yu Recognizing and parametrizing curves isomorphic to a line . . . . . . . . . . 751--756 Manuel Bronstein Structure theorems for parallel integration . . . . . . . . . . . . . . 757--769
Joris van der Hoeven Generalized power series solutions to linear partial differential equations 771--791 Joris van der Hoeven New algorithms for relaxed multiplication . . . . . . . . . . . . . 792--802 Michael Wibmer Gröbner bases for families of affine or projective schemes . . . . . . . . . . . 803--834 Sonia Pérez-Díaz Computation of the singularities of parametric plane curves . . . . . . . . 835--857
Peter Schauenburg A Gröbner-based treatment of elimination theory for affine varieties . . . . . . 859--870 Gábor P. Nagy and Petr Vojt\vechovský The Moufang loops of order $ 64 $ and $ 81 $ . . . . . . . . . . . . . . . . . . 871--883 Philippe Saux Picart and Cyril Brunie Symmetric subresultants and applications 884--919 C. J. Sangwin and P. Ramsden Linear syntax for communicating elementary mathematics . . . . . . . . . 920--934
Leonid Bedratyuk On complete system of invariants for the binary form of degree 7 . . . . . . . . 935--947 Manuel Kauers Summation algorithms for Stirling number identities . . . . . . . . . . . . . . . 948--970 Isabel Bermejo and Ignacio García-Marco and Juan José Salazar-González An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection . . . . . . . 971--991 Conrad Creel and Sam Nelson Symbolic computation with finite biquandles . . . . . . . . . . . . . . . 992--1000
Viktor Levandovskyy Foreword from the Editor . . . . . . . . 1001--1002 Franz Pauer Gröbner bases with coefficients in rings 1003--1011 Edward L. Green and Òyvind Solberg An algorithmic approach to resolutions 1012--1033 Gareth A. Evans and Christopher D. Wensley Complete involutive rewriting systems 1034--1051 José Manuel Casas and Manuel A. Insua and Manuel Ladra Poincaré--Birkhoff--Witt theorem for Leibniz $n$ . . . . . . . . . . . . . . 1052--1065 Peter Cameron and Natalia Iyudu Graphs of relations and Hilbert series 1066--1078 Tatiana Gateva-Ivanova and Shahn Majid Set-theoretic solutions of the Yang--Baxter equation, graphs and computations . . . . . . . . . . . . . . 1079--1112 Alban Quadrat and Daniel Robertz Computation of bases of free modules over the Weyl algebras . . . . . . . . . 1113--1141 R. M. Falcón and J. Martín-Morales Gröbner bases and the number of Latin squares related to autotopisms of order $ \leq 7 $ . . . . . . . . . . . . . . . 1142--1154
Bjarke Hammersholt Roune Solving thousand-digit Frobenius problems using Gröbner bases . . . . . . 1--7 A. S. Detinko and D. L. Flannery Algorithms for computing with nilpotent matrix groups over infinite domains . . 8--26 Oleg Golubitsky Universal characteristic decomposition of radical differential ideals . . . . . 27--45 Agnes Szanto Solving over-determined systems by the subresultant method (with an appendix by Marc Chardin) . . . . . . . . . . . . . 46--74
Sven Verdoolaege and Kevin Woods Counting with rational generating functions . . . . . . . . . . . . . . . 75--91 Falai Chen and Wenping Wang and Yang Liu Computing singular points of plane rational curves . . . . . . . . . . . . 92--117 Sonia Pérez-Díaz and J. Rafael Sendra A univariate resultant-based implicitization algorithm for surfaces 118--139 Przemys\law Koprowski Algorithms for quadratic forms . . . . . 140--152
Katsiaryna Krupchyk and Jukka Tuomela Completion of overdetermined parabolic PDEs . . . . . . . . . . . . . . . . . . 153--167 Laurent Dupont and Daniel Lazard and Sylvain Lazard and Sylvain Petitjean Near-optimal parameterization of the intersection of quadrics: I. The generic algorithm . . . . . . . . . . . . . . . 168--191 Laurent Dupont and Daniel Lazard and Sylvain Lazard and Sylvain Petitjean Near-optimal parameterization of the intersection of quadrics: II. A classification of pencils . . . . . . . 192--215 Laurent Dupont and Daniel Lazard and Sylvain Lazard and Sylvain Petitjean Near-optimal parameterization of the intersection of quadrics: III. Parameterizing singular intersections 216--232 Hoon Hong and John Perry Corrigendum to ``Are Buchberger's criteria necessary for the chain condition?'' [J. Symbolic Comput. \bf 42 (2007) 717--732] . . . . . . . . . . . . 233--233
M'hammed El Kahoui Topology of real algebraic space curves 235--258 Mohamed Ayad and Peter Fleischmann On the decomposition of rational functions . . . . . . . . . . . . . . . 259--274 Jooyoun Hong and Aron Simis and Wolmer V. Vasconcelos On the homology of two-dimensional elimination . . . . . . . . . . . . . . 275--292 E. V. Flynn and C. Grattoni Descent via isogeny on elliptic curves with large rational torsion subgroups 293--303 Stéphane R. Louboutin Localization of the complex zeros of parametrized families of polynomials . . 304--309
Fatima K. Abu Salem An efficient sparse adaptation of the polytope method over $ \mathbb {F}_p $ and a record-high binary bivariate factorisation . . . . . . . . . . . . . 311--341 Satoshi Aoki and Akimichi Takemura The largest group of invariance for Markov bases and toric ideals . . . . . 342--358 Erich Kaltofen and John P. May and Zhengfeng Yang and Lihong Zhi Approximate factorization of multivariate polynomials using singular value decomposition . . . . . . . . . . 359--376 S. A. Abramov and M. Petkov\vsek Dimensions of solution spaces of $H$-systems . . . . . . . . . . . . . . 377--394
Hyungju Park Computer algebra in pure and applied mathematics: a foreword . . . . . . . . 395--396 L. A. Bokut Gröbner--Shirshov basis for the braid group in the Artin--Garside generators 397--405 Pavel Kolesnikov Universally defined representations of Lie conformal superalgebras . . . . . . 406--421 Jeaman Ahn The degree-complexity of the defining ideal of a smooth integral curve . . . . 422--441 Dong Hoon Lee Algebraic degree of the inverse of linearized polynomials . . . . . . . . . 442--451 Eunjeong Lee and Hyang-Sook Lee and Yoonjin Lee Eta pairing computation on general divisors over hyperelliptic curves $ y^2 = x^p - x + d $ . . . . . . . . . . . . 452--474 Eng-Wee Chionh $ 0 / 0 $ Simplifies implicitization . . 475--489 Satoshi Aoki and Akimichi Takemura and Ruriko Yoshida Indispensable monomials of toric ideals and Markov bases . . . . . . . . . . . . 490--507 Hiroki Hashiguchi and Toshiya Iwashita Calculation of a formal moment generating function by using a differential operator . . . . . . . . . 508--514
Markus Rosenkranz and Georg Regensburger Solving and factoring boundary problems for linear ordinary differential equations in differential algebras . . . 515--544 Stefan Kohl Algorithms for a class of infinite permutation groups . . . . . . . . . . . 545--581 Oleg Golubitsky and Marina Kondratieva and Marc Moreno Maza and Alexey Ovchinnikov A bound for the Rosenfeld--Gröbner algorithm . . . . . . . . . . . . . . . 582--610
Carsten Schneider A refined difference field theory for symbolic summation . . . . . . . . . . . 611--644 Kwankyu Lee and Michael E. O'Sullivan List decoding of Reed--Solomon codes from a Gröbner basis perspective . . . . 645--658 Juan Gerardo Alcazar Good global behavior of offsets to plane algebraic curves . . . . . . . . . . . . 659--680
Mihai Cipu Gröbner bases and Diophantine analysis 681--687 Edward Mosteig Value monoids of zero-dimensional valuations of rank $1$ . . . . . . . . . 688--725 Meng Zhou and Franz Winkler Computing difference-differential dimension polynomials by relative Gröbner bases in difference-differential modules 726--745 Ruyong Feng and Xiao-Shan Gao and Zhenyu Huang Rational solutions of ordinary difference equations . . . . . . . . . . 746--763
Thomas Markwig Standard bases in $ K[[t_1, \ldots, t_m]][x_1, \ldots, x_n]^s $ . . . . . . 765--786 Manuel Kauers and Burkhard Zimmermann Computing the algebraic relations of C-finite sequences and multisequences 787--803 Pilar Pisón-Casares and Alberto Vigneron-Tenorio On Lawrence semigroups . . . . . . . . . 804--810 Koji Ouchi and John Keyser Rational Univariate Reduction via toric resultants . . . . . . . . . . . . . . . 811--844
Juan Gerardo Alcazar Good local behavior of offsets to rational regular algebraic surfaces . . 845--857 Temur Kutsia Flat matching . . . . . . . . . . . . . 858--873 Yan-Ping Mu Parameter augmentation and the $q$-Gosper algorithm . . . . . . . . . . 874--882 John Abbott and Claudia Fassino and Maria-Laura Torrente Stable border bases for ideals of points 883--894 Qiang-Hui Guo and Qing-Hu Hou and Lisa H. Sun Proving hypergeometric identities by numerical verifications . . . . . . . . 895--907 Joseph Khoury A Gröbner basis approach to solve a Conjecture of Nowicki . . . . . . . . . 908--922
Willem A. de Graaf and Jana Pílniková and Josef Schicho Parametrizing Del Pezzo surfaces of degree $8$ using Lie algebras . . . . . 1--14 Alexander Fronk and Britta Kehden State space analysis of Petri nets with relation-algebraic methods . . . . . . . 15--47 S. A. Abramov and M. A. Barkatou D'Alembertian series solutions at ordinary points of LODE with polynomial coefficients . . . . . . . . . . . . . . 48--59 Claus-Peter Wirth Shallow confluence of conditional term rewriting systems . . . . . . . . . . . 60--98 Kuniaki Tsuji An improved EZ-GCD algorithm for multivariate polynomials . . . . . . . . 99--110
Marc Dohm and Severinas Zube The implicit equation of a canal surface 111--130 Tobias Beck Formal desingularization of surfaces: The Jung method revisited . . . . . . . 131--160 Rida T. Farouki and Carlotta Giannelli and Alessandra Sestini Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations . . . . . . . . 161--179 Martin Aigner and Bert Jüttler and Laureano Gonzalez-Vega and Josef Schicho Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces . . . . . . . . . . . 180--191 Carlos Andradas and Tomas Recio and J. Rafael Sendra and Luis Felipe Tabera On the simplification of the coefficients of a parametrization . . . 192--210 Leonid Bedratyuk A complete minimal system of covariants for the binary form of degree 7 . . . . 211--220
Jean-Charles Faug\`ere and Fabrice Rouillier Foreword . . . . . . . . . . . . . . . . 221--221 Daniel Lazard Thirty years of Polynomial System Solving, and now? . . . . . . . . . . . 222--231 Laurent Busé and Mohamed Elkadi and André Galligo A computational study of ruled surfaces 232--241 Xiao-Shan Gao and Yong Luo and Chunming Yuan A characteristic set method for ordinary difference polynomial systems . . . . . 242--260 Sylvain Neut and Michel Petitot and Raouf Dridi \'Elie Cartan's geometrical vision or how to avoid expression swell . . . . . 261--270 Ilias S. Kotsireas and Christos Koukouvinos Hadamard matrices of Williamson type: a challenge for Computer Algebra . . . . . 271--279 Greg Reid and Lihong Zhi Solving polynomial systems via symbolic-numeric reduction to geometric involutive form . . . . . . . . . . . . 280--291 B. Mourrain and J. P. Pavone Subdivision methods for solving polynomial equations . . . . . . . . . . 292--306
Rida T. Farouki and Carlotta Giannelli and Alessandra Sestini Helical polynomial curves and double Pythagorean hodographs II. Enumeration of low-degree curves . . . . . . . . . . 307--332 Oleg Golubitsky and Marina Kondratieva and Alexey Ovchinnikov Algebraic transformation of differential characteristic decompositions from one ranking to another . . . . . . . . . . . 333--357 Bjarke Hammersholt Roune The Slice Algorithm for irreducible decomposition of monomial ideals . . . . 358--381 Evelyne Hubert Differential invariants of a Lie group action: Syzygies on a generating set . . 382--416 Josep M. Miret and Xavier Hernández and Sebasti\`a Xambó-Descamps Corrigendum to: ``Computing the characteristic numbers of the variety of nodal plane cubics in $ \mathbb {P}^3 $'' [J. Symbolic Comput. 42 (1--2) (2007) 192--202] . . . . . . . . . . . . 417--418
Francisco J. Castro-Jimenez and Laureano Gonzalez-Vega Foreword from the editors . . . . . . . 419--420 An Khuong Nguyen On $d$-solvability for linear differential equations . . . . . . . . . 421--434 Shinichi Tajima and Yayoi Nakamura Annihilating ideals for an algebraic local cohomology class . . . . . . . . . 435--448 Hiromasa Nakayama Algorithm computing the local $b$ function by an approximate division algorithm in $ \hat {D}$ . . . . . . . . 449--462 Montserrat Manubens and Antonio Montes Minimal canonical comprehensive Gröbner systems . . . . . . . . . . . . . . . . 463--478 Marc Dohm Implicitization of rational ruled surfaces with $ \mu $-bases . . . . . . 479--489 R. Rubio and J. M. Serradilla and M. P. Vélez Detecting real singularities of a space curve from a real rational parametrization . . . . . . . . . . . . 490--498 Diego Ruano On the structure of generalized toric codes . . . . . . . . . . . . . . . . . 499--506 Gabriela Olteanu and Ángel del Río An algorithm to compute the Wedderburn decomposition of semisimple group algebras implemented in the GAP package \tt wedderga . . . . . . . . . . . . . . 507--516 Manuel A. Insua and Manuel Ladra Gröbner bases in universal enveloping algebras of Leibniz algebras . . . . . . 517--526 L. M. Camacho and J. R. Gómez and A. J. González and B. A. Omirov Naturally graded quasi-filiform Leibniz algebras . . . . . . . . . . . . . . . . 527--539 Mohamed Barakat and Daniel Robertz conley: Computing connection matrices in Maple . . . . . . . . . . . . . . . . . 540--557 V. Alvarez and J. A. Armario and M. D. Frau and P. Real The homological reduction method for computing cocyclic Hadamard matrices . . 558--570 J. Santiago Jorge and Victor M. Gulias and Jose L. Freire Certifying properties of an efficient functional program for computing Gröbner bases . . . . . . . . . . . . . . . . . 571--582 Emmanuel Briand and Mercedes Rosas Milne's volume function and vector symmetric polynomials . . . . . . . . . 583--590
Andrew J. Hanson and Ji-Ping Sha A tessellation for Fermat surfaces in $ \mathbb {C} {P}^3 $ . . . . . . . . . . 591--605 Scott R. Pope and Agnes Szanto Nearest multivariate system with given root multiplicities . . . . . . . . . . 606--625 Abramo Hefez and Marcelo Escudeiro Hernandes Analytic classification of plane branches up to multiplicity 4 . . . . . 626--634 F. San Segundo and J. R. Sendra Partial degree formulae for plane offset curves . . . . . . . . . . . . . . . . . 635--654 Roy Joshua and Shaun Van Ault Implementation of Stanley's algorithm for projective group imbeddings . . . . 655--672 J. E. Cremona and T. A. Fisher On the equivalence of binary quartics 673--682 J. Busch Lower bounds for decision problems in imaginary, norm-Euclidean quadratic integer rings . . . . . . . . . . . . . 683--699
Carlos D'Andrea and Bernard Mourrain Special issue on symbolic and algebraic computation . . . . . . . . . . . . . . 701--702 Hirokazu Anai and Shinji Hara and Masaaki Kanno and Kazuhiro Yokoyama Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem . . . . . . . . . . . . . . . . 703--725 Eda Cesaratto and Julien Clément and Beno\^\it Daireaux and Lo\"\ick Lhote and Véronique Maume-Deschamps and Brigitte Vallée Regularity of the Euclid Algorithm; application to the analysis of fast GCD algorithms . . . . . . . . . . . . . . . 726--767 Jin-San Cheng and Xiao-Shan Gao and Chee-Keng Yap Complete numerical isolation of real roots in zero-dimensional triangular systems . . . . . . . . . . . . . . . . 768--785 Serena Cical\`o and Willem A. de Graaf Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition, II . . . . . . . . . . 786--800 Christian Costermans and Hoang Ngoc Minh Noncommutative algebra, multiple harmonic sums and applications in discrete probability . . . . . . . . . . 801--817 Dimitrios I. Diochnos and Ioannis Z. Emiris and Elias P. Tsigaridas On the asymptotic and practical complexity of solving bivariate systems over the reals . . . . . . . . . . . . . 818--835 Raouf Dridi and Michel Petitot New classification techniques for ordinary differential equations . . . . 836--851 Jean-François Jaulent and Sebastian Pauli and Michael E. Pohst and Florence Soriano-Gafiuk Computation of $2$-groups of narrow logarithmic divisor classes of number fields . . . . . . . . . . . . . . . . . 852--863 Jean-Pierre Jouanolou An explicit duality for quasi-homogeneous ideals . . . . . . . . 864--871 Daniel Kunkle and Gene Cooperman Harnessing parallel disks to solve Rubik's cube . . . . . . . . . . . . . . 872--890 Xin Li and Marc Moreno Maza and Éric Schost Fast arithmetic for triangular sets: From theory to practice . . . . . . . . 891--907 Hiroshi Sekigawa On real factors of real interval polynomials . . . . . . . . . . . . . . 908--922 Wenyuan Wu and Greg Reid and Silvana Ilie Implicit Riquier Bases for PDAE and their semi-discretizations . . . . . . . 923--941
Mark Giesbrecht and George Labahn and Wen-shin Lee Symbolic--numeric sparse interpolation of multivariate polynomials . . . . . . 943--959 William Y. C. Chen and Ernest X. W. Xia The $q$-WZ method for infinite series 960--971 Arthur D. Chtcherba and Deepak Kapur and Manfred Minimair Cayley--Dixon projection operator for multi-univariate composed polynomials 972--999 Joris van der Hoeven On asymptotic extrapolation . . . . . . 1000--1016 Moulay A. Barkatou and Eckhard Pflügel On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity . . . . . . . . . . . . . . . 1017--1036 A. S. Detinko and D. L. Flannery On deciding finiteness of matrix groups 1037--1043 R. T. Curtis and B. T. Fairbairn Symmetric representation of the elements of the Conway group $_.0$ . . . . . . . 1044--1067 James McLaughlin and Andrew V. Sills and Peter Zimmer Rogers--Ramanujan computer searches . . 1068--1078 Filip Cools On the relation between weighted trees and tropical Grassmannians . . . . . . . 1079--1086
André Galligo and Luis Miguel Pardo and Josef Schicho Effective methods in algebraic geometry 1087--1088 Clémence Durvye Evaluation techniques for zero-dimensional primary decomposition 1089--1113 Peter Bürgisser and Peter Scheiblechner On the complexity of counting components of algebraic varieties . . . . . . . . . 1114--1136 X. S. Gao and J. Van der Hoeven and C. M. Yuan and G. L. Zhang Characteristic set method for differential--difference polynomial systems . . . . . . . . . . . . . . . . 1137--1163 Carlos D'Andrea and Hoon Hong and Teresa Krick and Agnes Szanto Sylvester's double sums: The general case . . . . . . . . . . . . . . . . . . 1164--1175 Daniel Lazard and Scott McCallum Iterated discriminants . . . . . . . . . 1176--1193 M. Elkadi and A. Galligo and M. Weimann Towards toric absolute factorization . . 1194--1211 Gregor Kemper Separating invariants . . . . . . . . . 1212--1222 Willem A. de Graaf Constructing algebraic groups from their Lie algebras . . . . . . . . . . . . . . 1223--1233 E. Fortuna and P. Gianni and B. Trager Generators of the ideal of an algebraic space curve . . . . . . . . . . . . . . 1234--1254 Hendrik Hubrechts Quasi-quadratic elliptic curve point counting using rigid cohomology . . . . 1255--1267 Bernd Martin and Hendrik Süß Milnor algebras could be isomorphic to modular algebras . . . . . . . . . . . . 1268--1279 Martín Avendaño The number of roots of a lacunary bivariate polynomial on a line . . . . . 1280--1284 Mari Castle and Victoria Powers and Bruce Reznick A quantitative Pólya's Theorem with zeros 1285--1290 Lionel Alberti and Bernard Mourrain and Jean-Pierre Técourt Isotopic triangulation of a real algebraic surface . . . . . . . . . . . 1291--1310 Eduardo Sáenz-de-Cabezón and Henry P. Wynn Betti numbers and minimal free resolutions for multi-state system reliability bounds . . . . . . . . . . . 1311--1325 Michael Brickenstein and Alexander Dreyer PolyBoRi: framework for Gröbner-basis computations with Boolean polynomials 1326--1345 Clément M. Gosselin and Brian Moore and Josef Schicho Dynamic balancing of planar mechanisms using toric geometry . . . . . . . . . . 1346--1358
Daniel Robertz Noether normalization guided by monomial cone decompositions . . . . . . . . . . 1359--1373 Roberto La Scala and Viktor Levandovskyy Letterplace ideals and non-commutative Gröbner bases . . . . . . . . . . . . . . 1374--1393 Mingbo Zhang and Xiao-Shan Gao Decomposition of ordinary difference polynomials . . . . . . . . . . . . . . 1394--1409 Shih Ping Tung Algorithms for near solutions to polynomial equations . . . . . . . . . . 1410--1424 Josep M. Miret and Jordi Pujol\`as and Kumar Saurav and Sebasti\`a Xambó-Descamps Computing some fundamental numbers of the variety of nodal cubics in $ \mathbb {P}^3 $ . . . . . . . . . . . . . . . . 1425--1447 Marcin Dumnicki An algorithm to bound the regularity and nonemptiness of linear systems in $ \mathbb {P}^n $ . . . . . . . . . . . . 1448--1462 Raymond Hemmecke and Peter N. Malkin Computing generating sets of lattice ideals and Markov bases of lattices . . 1463--1476 Dave Bayer and Amelia Taylor Reverse search for monomial ideals . . . 1477--1486 Songxin Liang and David J. Jeffrey Automatic computation of the complete root classification for a parametric polynomial . . . . . . . . . . . . . . . 1487--1501 David Harvey Faster polynomial multiplication via multipoint Kronecker substitution . . . 1502--1510 T. Wietecha and K. Sokalski Plus--minus algorithm --- a method for derivation of the Bäcklund transformations . . . . . . . . . . . . 1511--1528 Adam Clay and Lawrence H. Smith Corrigendum to: ``On ordering free groups'' [J. Symbolic Comput. 40 (2005) 1285--1290] . . . . . . . . . . . . . . 1529--1532
Robert M. Corless and Reiner Lauterbach and Hans-Michael Möller Preface . . . . . . . . . . . . . . . . 1533--1535 Robert M. Corless and Karin Gatermann and Ilias S. Kotsireas Using symmetries in the eigenvalue method for polynomial systems . . . . . 1536--1550 Gheorghe Craciun and Alicia Dickenstein and Anne Shiu and Bernd Sturmfels Toric dynamical systems . . . . . . . . 1551--1565 Daniel Heldt and Martin Kreuzer and Sebastian Pokutta and Hennie Poulisse Approximate computation of zero-dimensional polynomial ideals . . . 1566--1591 Xavier Dahan and Éric Schost and Jie Wu Evaluation properties of invariant polynomials . . . . . . . . . . . . . . 1592--1604
Daniel Augot and Jean-Charles Faug\`ere and Ludovic Perret Foreword . . . . . . . . . . . . . . . . 1605--1607 Daniel Augot and Magali Bardet and Jean-Charles Faug\`ere On the decoding of binary cyclic codes with the Newton identities . . . . . . . 1608--1625 Stanislav Bulygin and Ruud Pellikaan Bounded distance decoding of linear error-correcting codes with Gröbner bases 1626--1643 Delphine Boucher and Felix Ulmer Coding with skew polynomial rings . . . 1644--1656 M. Prem Laxman Das and Kripasindhu Sikdar List decoding codes on Garcia--Stictenoth tower using Gröbner basis . . . . . . . . . . . . . . . . . 1657--1661 Kwankyu Lee and Michael E. O'Sullivan List decoding of Hermitian codes using Gröbner bases . . . . . . . . . . . . . . 1662--1675 Jean-Charles Faug\`ere and Ludovic Perret An efficient algorithm for decomposing multivariate polynomials and its applications to cryptography . . . . . . 1676--1689 Pierrick Gaudry Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem . . . . . . . 1690--1702 Côme Berbain and Henri Gilbert and Jacques Patarin QUAD: a multivariate stream cipher with provable security . . . . . . . . . . . 1703--1723
Martin Peternell Rational two-parameter families of spheres and rational offset surfaces . . 1--18 Claudia Fassino Almost vanishing polynomials for sets of limited precision points . . . . . . . . 19--37 Alberto Damiano and Graziano Gentili and Daniele Struppa Computations in the ring of quaternionic polynomials . . . . . . . . . . . . . . 38--45 Rouchdi Bahloul and Toshinori Oaku Local Bernstein--Sato ideals: Algorithm and examples . . . . . . . . . . . . . . 46--59 Bahman Engheta A bound on the projective dimension of three cubics . . . . . . . . . . . . . . 60--73 Temur Kutsia and Jordi Levy and Mateu Villaret On the relation between Context and Sequence Unification . . . . . . . . . . 74--95 Inmaculada Medina-Bulo and Francisco Palomo-Lozano and José-Luis Ruiz-Reina A verified Common Lisp . . . . . . . . . 96--123 François Boulier and François Lemaire and Marc Moreno Maza Computing differential characteristic sets by change of ordering . . . . . . . 124--149
Silvio Ghilardi and Viorica Sofronie-Stokkermans and Ulrike Sattler and Ashish Tiwari Special issue on automated deduction: Decidability, complexity, tractability 151--152 Aharon Abadi and Alexander Rabinovich and Mooly Sagiv Decidable fragments of many-sorted logic 153--172 Adri\`a Gascón and Guillem Godoy and Manfred Schmidt-Schauß and Ashish Tiwari Context unification with one context variable . . . . . . . . . . . . . . . . 173--193 Carsten Lutz and Frank Wolter Deciding inseparability and conservative extensions in the description logic $ \cal E L $ . . . . . . . . . . . . . . . 194--228 Maria Paola Bonacina and Mnacho Echenim Theory decision by decomposition . . . . 229--260 Duc-Khanh Tran and Christophe Ringeissen and Silvio Ranise and Hél\`ene Kirchner Combination of convex theories: Modularity, deduction completeness, and explanation . . . . . . . . . . . . . . 261--286
Ruyong Feng and Michael F. Singer and Min Wu Liouvillian solutions of linear difference--differential equations . . . 287--305 Ruyong Feng and Michael F. Singer and Min Wu An algorithm to compute Liouvillian solutions of prime order linear difference--differential equations . . . 306--323 Sonia L. Rueda and J. Rafael Sendra Linear complete differential resultants and the implicitization of linear DPPEs 324--341 Allan K. Steel Computing with algebraically closed fields . . . . . . . . . . . . . . . . . 342--372 J. Araújo and P. V. Bünau and J. D. Mitchell and M. Neunhöffer Computing automorphisms of semigroups 373--392
Tetsuo Ida and Hidekazu Takahashi Origami fold as algebraic graph rewriting . . . . . . . . . . . . . . . 393--413 Xiaohong Jia and Haohao Wang and Ron Goldman Set-theoretic generators of rational space curves . . . . . . . . . . . . . . 414--433 Gabriela Jeronimo and Daniel Perrucci On the minimum of a positive polynomial over the standard simplex . . . . . . . 434--442 François Apéry Subresultants of two Hermite--Laurent series . . . . . . . . . . . . . . . . . 443--461 Kenta Nishiyama and Masayuki Noro Stratification associated with local $b$-functions . . . . . . . . . . . . . 462--480 Meera Sitharam and Jörg Peters and Yong Zhou Optimized parametrization of systems of incidences between rigid bodies . . . . 481--498
Temur Kutsia Symbolic computation in software science: Foreword from the Editor . . . 499--500 Sergio Antoy Programming with narrowing: a tutorial 501--522 Horatiu Cirstea and Claude Kirchner and Radu Kopetz and Pierre-Etienne Moreau Anti-patterns for rule-based languages 523--550 Masaki Nakamura and Kazuhiro Ogata and Kokichi Futatsugi Reducibility of operation symbols in term rewriting systems and its application to behavioral specifications 551--573 Thomas Genet and Vlad Rusu Equational approximations for tree automata completion . . . . . . . . . . 574--597 Masahiko Sato and Randy Pollack External and internal syntax of the $ \lambda $ calculus . . . . . . . . . . . 598--616
Prashant Batra and Vikram Sharma Bounds on absolute positiveness of multivariate polynomials . . . . . . . . 617--628 Volker Gebhardt and Juan González-Meneses Solving the conjugacy problem in Garside groups by cyclic sliding . . . . . . . . 629--656 Jan Vr\vsek and Miroslav Lávi\vcka On convolutions of algebraic curves . . 657--676 Kurt Mehlhorn and Saurabh Ray Faster algorithms for computing Hong's bound on absolute positiveness . . . . . 677--683 S. A. Abramov and M. Petkov\vsek Polynomial ring automorphisms, rational $ (w, \sigma)$-canonical forms, and the assignment problem . . . . . . . . . . . 684--708 Andries E. Brouwer and Mihaela Popoviciu The invariants of the binary nonic . . . 709--720
Antonio Campillo and Patrick Fitzpatrick and Edgar Martínez-Moro and Ruud Pellikaan Special issue algebraic coding theory and applications . . . . . . . . . . . . 721--722 Nigel Boston and Gary McGuire The weight distributions of cyclic codes with two zeros and zeta functions . . . 723--733 Nathan Owen Ilten and Hendrik Süß Algebraic geometry codes from polyhedral divisors . . . . . . . . . . . . . . . . 734--756 Drue Coles and Emma Previato Decoding by rank-2 bundles over plane quartics . . . . . . . . . . . . . . . . 757--772 Peter Beelen and Kristian Brander Key equations for list decoding of Reed--Solomon codes and how to solve them . . . . . . . . . . . . . . . . . . 773--786 Sunghyu Han and Jon-Lark Kim Formally self-dual additive codes over $ \mathbb {F}_4 $ . . . . . . . . . . . . 787--799 W. Fish and J. D. Key and E. Mwambene Binary codes from the line graph of the $n$-cube . . . . . . . . . . . . . . . . 800--812 C. Martínez and R. Beivide and C. Camarero and E. Stafford and E. M. Gabidulin Quotients of Gaussian graphs and their application to perfect codes . . . . . . 813--824
Preda Mih\uailescu and Victor Vuletescu Elliptic Gauss sums and applications to point counting . . . . . . . . . . . . . 825--836 Andries E. Brouwer and Mihaela Popoviciu The invariants of the binary decimic . . 837--843 Rida T. Farouki and Takis Sakkalis Rational rotation-minimizing frames on polynomial space curves of arbitrary degree . . . . . . . . . . . . . . . . . 844--856 Joris van der Hoeven Newton's method and FFT trading . . . . 857--878 Joachim von zur Gathen and Maurice Mignotte and Igor E. Shparlinski Approximate polynomial GCD: Small degree and small height perturbations . . . . . 879--886
Gert-Martin Greuel and Santiago Laplagne and Frank Seelisch Normalization of rings . . . . . . . . . 887--901 Liang Chen and Michael Monagan Algorithms for solving linear systems over cyclotomic fields . . . . . . . . . 902--917 Huishi Li Looking for Gröbner basis theory for (almost) skew 2-nomial algebras . . . . 918--942 Bettina Eick Some new simple Lie algebras in characteristic $2$ . . . . . . . . . . . 943--951
Eduardo Sáenz-de-Cabezón Computing the support of monomial iterated mapping cones . . . . . . . . . 953--964 \cStefan O. Toha\vneanu On the De Boer--Pellikaan method for computing minimum distance . . . . . . . 965--974 M. Emilia Alonso and Henri Lombardi Local Bézout Theorem . . . . . . . . . . 975--985 Joël Merker Application of computational invariant theory to Kobayashi hyperbolicity and to Green--Griffiths algebraic degeneracy 986--1074 Marc Mezzarobba and Bruno Salvy Effective bounds for $P$-recursive sequences . . . . . . . . . . . . . . . 1075--1096
Martin Giese and Andrew Ireland and Laura Kovács Introduction . . . . . . . . . . . . . . 1097--1100 Stefan Kauer and Jürgen F. H. Winkler Mechanical inference of invariants for FOR-loops . . . . . . . . . . . . . . . 1101--1113 Ali Mili and Shir Aharon and Chaitanya Nadkarni and Lamia Labed Jilani and Asma Louhichi and Olfa Mraihi Reflexive transitive invariant relations: a basis for computing loop functions . . . . . . . . . . . . . . . 1114--1143 Igor V. Konnov and Vladimir A. Zakharov An invariant-based approach to the verification of asynchronous parameterized networks . . . . . . . . . 1144--1162 Chenguang Luo and Florin Craciun and Shengchao Qin and Guanhua He and Wei-Ngan Chin Verifying pointer safety for programs with unknown calls . . . . . . . . . . . 1163--1183 Yannick Moy and Claude Marché Modular inference of subprogram contracts for safety checking . . . . . 1184--1211 Andrey Rybalchenko and Viorica Sofronie-Stokkermans Constraint solving for interpolation . . 1212--1233 Bican Xia and Zhihai Zhang Termination of linear programs with nonlinear constraints . . . . . . . . . 1234--1249
Carlos D'Andrea and Marc Giusti and Luis M. Pardo and Ragni Piene Effective methods in algebraic geometry 2009: Barcelona. Guest editors' foreword 1251--1253 Hirotachi Abo On non-defectivity of certain Segre--Veronese varieties . . . . . . . 1254--1269 Saugata Basu and Marie-Françoise Roy Bounding the radii of balls meeting every connected component of semi-algebraic sets . . . . . . . . . . 1270--1279 Cristina Bertone and Guillaume Ch\`eze and André Galligo Modular Las Vegas algorithms for polynomial absolute factorization . . . 1280--1295 María Angélica Cueto and Enrique A. Tobis and Josephine Yu An implicitization challenge for binary factor analysis . . . . . . . . . . . . 1296--1315 G. M. Diaz-Toca and H. Lombardi Dynamic Galois Theory . . . . . . . . . 1316--1329 Amir Hashemi and Gwénolé Ars Extended $ F_5 $ criteria . . . . . . . 1330--1340 P.-V. Koseleff and D. Pecker and F. Rouillier The first rational Chebyshev knots . . . 1341--1358 J. M. Landsberg P versus NP and geometry . . . . . . . . 1359--1377 Thierry Coquand and Henri Lombardi and Claude Quitté Curves and coherent Prüfer rings . . . . 1378--1390 Antonio Montes and Michael Wibmer Gröbner bases for polynomial systems with parameters . . . . . . . . . . . . . . . 1391--1425 L. X. Châu Ngô and Franz Winkler Rational general solutions of first order non-autonomous parametrizable ODEs 1426--1441 Christian Eder and John Perry F5C: a variant of Faug\`ere's F5 algorithm with reduced Gröbner bases . . 1442--1458 Peter Scheiblechner On a generalization of Stickelberger's Theorem . . . . . . . . . . . . . . . . 1459--1470
Jon Wilkening and Jia Yu A local construction of the Smith normal form of a matrix polynomial . . . . . . 1--22 Sandra Di Rocco and David Eklund and Chris Peterson and Andrew J. Sommese Chern numbers of smooth varieties via homotopy continuation and intersection theory . . . . . . . . . . . . . . . . . 23--33 Alessandra Bernardi and Alessandro Gimigliano and Monica Id\`a Computing symmetric rank for symmetric tensors . . . . . . . . . . . . . . . . 34--53 Paraskevas Alvanos and Dimitrios Poulakis Solving genus zero Diophantine equations over number fields . . . . . . . . . . . 54--69 Kurt Mehlhorn and Michael Sagraloff A deterministic algorithm for isolating real roots of a real polynomial . . . . 70--90 Sonia L. Rueda and J. Rafael Sendra Corrigendum to ``Linear complete differential resultants and the implicitization of linear DPPEs'' [J. Symbolic Comput. \bf 45 (3) March (2010) 324--341] . . . . . . . . . . . . . . . 91--92 Anonymous Editorial Board . . . . . . . . . . . . ??
Demis Ballis and Temur Kutsia Foreword . . . . . . . . . . . . . . . . 93--94 Gregory Malecha and Greg Morrisett and Ryan Wisnesky Trace-based verification of imperative programs with I/O . . . . . . . . . . . 95--118 Federico Banti and Rosario Pugliese and Francesco Tiezzi An accessible verification environment for UML models of services . . . . . . . 119--149 Zef Hemel and Danny M. Groenewegen and Lennart C. L. Kats and Eelco Visser Static consistency checking of Web applications with WebDSL . . . . . . . . 150--182 Christian Schönberg and Franz Weitl and Burkhard Freitag Verifying the consistency of Web-based technical documentations . . . . . . . . 183--206 Marino Linaje and Adolfo Lozano-Tello and Miguel A. Perez-Toledano and Juan Carlos Preciado and Roberto Rodriguez-Echeverria and Fernando Sanchez-Figueroa Providing RIA user interfaces with accessibility properties . . . . . . . . 207--217 Anonymous Editorial Board . . . . . . . . . . . . ??
Jochen Pfalzgraf and Hartmut Ehrig and Ulrike Golas and Thomas Soboll Foreword . . . . . . . . . . . . . . . . 219--221 Paolo Baldan and Filippo Bonchi and Andrea Corradini and Tobias Heindel and Barbara König A lattice-theoretical perspective on adhesive categories . . . . . . . . . . 222--245 Benjamin Braatz and Ulrike Golas and Thomas Soboll How to delete categorically --- Two pushout complement constructions . . . . 246--271 Jean-Guillaume Dumas and Dominique Duval and Jean-Claude Reynaud Cartesian effect categories are Freyd-categories . . . . . . . . . . . . 272--293 Fernando Orejas Symbolic graphs for attributed graph constraints . . . . . . . . . . . . . . 294--315 Christoph Schulz and Michael Löwe and Harald König A categorical framework for the transformation of object-oriented systems: Models and data . . . . . . . . 316--337 Anonymous Editorial Board . . . . . . . . . . . . ??
Joris van der Hoeven Meta-expansion of transseries . . . . . 339--359 Graham Ellis and Paul Smith Computing group cohomology rings from the Lyndon--Hochschild--Serre spectral sequence . . . . . . . . . . . . . . . . 360--370 Scott H. Murray and Colva M. Roney-Dougal Constructive homomorphisms for classical groups . . . . . . . . . . . . . . . . . 371--384 Marie-Françoise Roy and Aviva Szpirglas Sylvester double sums and subresultants 385--395 Annick Valibouze Gröbner basis of the alternating galoisian ideal . . . . . . . . . . . . 396--405 Jean-Charles Faug\`ere and Mohab Safey El Din and Pierre-Jean Spaenlehauer Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree $ (1, 1) $: Algorithms and complexity . . 406--437 Willem A. de Graaf Computing representatives of nilpotent orbits of $ \theta $-groups . . . . . . 438--458 Jean-Charles Faug\`ere and Ye Liang Artificial discontinuities of single-parametric Gröbner bases . . . . . 459--466 Michael Hemmer and Laurent Dupont and Sylvain Petitjean and Elmar Schömer A complete, exact and efficient implementation for computing the edge-adjacency graph of an arrangement of quadrics . . . . . . . . . . . . . . 467--494 Anonymous Editorial Board . . . . . . . . . . . . ??
Elizabeth Arnold and Ilias Kotsireas and Markus Rosenkranz Bruno Buchberger and the world of Gröbner bases . . . . . . . . . . . . . . . . . 495--497 A. M. Bigatti and M. Caboara and L. Robbiano Computing inhomogeneous Gröbner bases . . 498--510 Víctor Blanco and Justo Puerto Some algebraic methods for solving multiobjective polynomial integer programs . . . . . . . . . . . . . . . . 511--533 Massimo Caboara and Fabrizio Caruso and Carlo Traverso Lattice Polly Cracker cryptosystems . . 534--549 Anne Frühbis-Krüger A modified coefficient ideal for use with the strict transform . . . . . . . 550--560 Gert-Martin Greuel and Frank Seelisch and Oliver Wienand The Gröbner basis of the ideal of vanishing polynomials . . . . . . . . . 561--570 Tetsuo Ida and Asem Kasem and Fadoua Ghourabi and Hidekazu Takahashi Morley's theorem revisited: Origami construction and automated proof . . . . 571--583 K. Kalorkoti Model checking in the modal $ \mu $-calculus and generic solutions . . . . 584--594 Viktor Levandovskyy and Kristina Schindelar Computing diagonal form and Jacobson normal form of a matrix using Gröbner bases . . . . . . . . . . . . . . . . . 595--608 Agustin Marcelo and Peter Schenzel Non-Cohen--Macaulay unique factorization domains in small dimensions . . . . . . 609--621 Yosuke Sato and Shutaro Inoue and Akira Suzuki and Katsusuke Nabeshima and Ko Sakai Boolean Gröbner bases . . . . . . . . . . 622--632 Anonymous Editorial Board . . . . . . . . . . . . ??
Moulay A. Barkatou and Thomas Cluzeau and Carole El Bacha Simple forms of higher-order linear differential systems and their applications in computing regular solutions . . . . . . . . . . . . . . . 633--658 Nicoleta B\^\il\va On a new method for finding generalized equivalence transformations for differential equations involving arbitrary functions . . . . . . . . . . 659--671 Nazeran Idrees and Gerhard Pfister and Stefan Steidel Parallelization of Modular Algorithms 672--684 J. Heras and V. Pascual and J. Rubio and F. Sergeraert fKenzo: a user interface for computations in Algebraic Topology . . . 685--698 Kh. Hessami Pilehrood and T. Hessami Pilehrood A $q$-analogue of the Bailey--Borwein--Bradley identity . . . 699--711 Daniel Plaumann and Bernd Sturmfels and Cynthia Vinzant Quartic curves and their bitangents . . 712--733 Anonymous Editorial Board . . . . . . . . . . . . ??
Mark W. Giesbrecht and Stephen M. Watt In honour of Keith Geddes on his 60th birthday . . . . . . . . . . . . . . . . 735--740 D. H. Bailey and J. M. Borwein High-precision numerical integration: Progress and challenges . . . . . . . . 741--754 Danko Adrovic and Jan Verschelde Tropical algebraic geometry in Maple: a preprocessing algorithm for finding common factors for multivariate polynomials with approximate coefficients . . . . . . . . . . . . . . 755--772 Gilles Villard Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation . . . . . . . . . . 773--790 Daniel S. Roche Chunky and equal-spaced polynomial multiplication . . . . . . . . . . . . . 791--806 Michael Monagan and Roman Pearce Sparse polynomial division using a heap 807--822 Jean-Guillaume Dumas and Laurent Fousse and Bruno Salvy Simultaneous modular reduction and Kronecker substitution for small finite fields . . . . . . . . . . . . . . . . . 823--840 Xin Li and Marc Moreno Maza and Raqeeb Rasheed and Éric Schost The \tt modpn library: Bringing fast polynomial arithmetic into Maple . . . . 841--858 David R. Stoutemyer Ten commandments for good default expression simplification . . . . . . . 859--887 Anonymous Editorial Board . . . . . . . . . . . . ??
Waldemar Hebisch and Martin Rubey Extended rate, more GFUN . . . . . . . . 889--903 Ting Zhao and Dongming Wang and Hoon Hong Solution formulas for cubic equations without or with constraints . . . . . . 904--918 Ioannis Z. Emiris and Christos Konaxis Single-lifting Macaulay-type formulae of generalized unmixed sparse resultants 919--942 Wouter Castryck and Frederik Vercauteren Toric forms of elliptic curves and their arithmetic . . . . . . . . . . . . . . . 943--966 Luis Felipe Tabera Optimal affine reparametrization of rational curves . . . . . . . . . . . . 967--976 Anonymous Editorial Board . . . . . . . . . . . . ??
Sonia L. Rueda A perturbed differential resultant based implicitization algorithm for linear DPPEs . . . . . . . . . . . . . . . . . 977--996 Mahjoub Langar and Mohamed Mejri and Kamel Adi Formal enforcement of security policies on concurrent systems . . . . . . . . . 997--1016 Alberto Arri and John Perry The F5 criterion revised . . . . . . . . 1017--1029 J. Rafael Sendra and David Sevilla Radical parametrizations of algebraic curves by adjoint curves . . . . . . . . 1030--1038 Mari Castle and Victoria Powers and Bruce Reznick Pólya's Theorem with zeros . . . . . . . 1039--1048 J. F. Pommaret Macaulay inverse systems revisited . . . 1049--1069 Francesca Cioffi and Margherita Roggero Flat families by strongly stable ideals and a generalization of Gröbner bases . . 1070--1084 Bruno Salvy and Bob Sedgewick and Michele Soria and Wojciech Szpankowski and Brigitte Vallee Obituary. Philippe Flajolet . . . . . . 1085--1086 Anonymous Editorial Board . . . . . . . . . . . . ??
Stefano Maggiolo and Nicola Pagani Generating stable modular graphs . . . . 1087--1097 Sebastian Jambor Computing minimal associated primes in polynomial rings over the integers . . . 1098--1104 Jesse Beder and Jason McCullough and Luis Núñez-Betancourt and Alexandra Seceleanu and Bart Snapp and Branden Stone Ideals with larger projective dimension and regularity . . . . . . . . . . . . . 1105--1113 L. D'Alfonso and G. Jeronimo and F. Ollivier and A. Sedoglavic and P. Solernó A geometric index reduction method for implicit systems of differential algebraic equations . . . . . . . . . . 1114--1138 Guillaume Moroz Properness defects of projection and minimal discriminant variety . . . . . . 1139--1157 Taro Kawazoe and Masayuki Noro Algorithms for computing a primary ideal decomposition without producing intermediate redundant components . . . 1158--1172 L. X. Châu Ngô and Franz Winkler Rational general solutions of planar rational systems of autonomous ODEs . . 1173--1186 Mahdi Dehghani Darmian and Amir Hashemi and Antonio Montes Erratum to ``A new algorithm for discussing Gröbner bases with parameters'' [J. Symbolic Comput. \bf 33 (1--2) (2002) 183--208] . . . . . . . . 1187--1188 Anonymous Editorial Board . . . . . . . . . . . . ??
Viktor Levandovskyy and Eva Zerz and Kristina Schindelar Exact linear modeling using Ore algebras 1189--1204 S. A. Abramov and M. A. Barkatou and M. van Hoeij and M. Petkovsek Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences . . . . . . . . . . . . . . . 1205--1228 Rocío Blanco and Santiago Encinas Embedded desingularization of toric varieties . . . . . . . . . . . . . . . 1229--1241 Mark Giesbrecht and Daniel S. Roche Detecting lacunary perfect powers and computing their roots . . . . . . . . . 1242--1259 Jesús A. De Loera and Jon Lee and Peter N. Malkin and Susan Margulies Computing infeasibility certificates for combinatorial problems through Hilbert's Nullstellensatz . . . . . . . . . . . . 1260--1283 Adam Strzebo\'nski Cylindrical decomposition for systems transcendental in the first variable . . 1284--1290 Anonymous Editorial Board . . . . . . . . . . . . ??
François Lemaire and Marc Moreno Maza and Wei Pan and Yuzhen Xie When does $ \langle T \rangle $ equal $ {\rm sat}(T) $? . . . . . . . . . . . . 1291--1305 Kosaku Nagasaka Approximate polynomial GCD over integers 1306--1317 Hiroshi Sekigawa Computing the nearest polynomial with a zero in a given domain by using piecewise rational functions . . . . . . 1318--1335 Martin Raum How to implement a modular form . . . . 1336--1354 Douglas Poole and Willy Hereman Symbolic computation of conservation laws for nonlinear partial differential equations in multiple space dimensions 1355--1377 Alin Bostan and Muhammad F. I. Chowdhury and Joris van der Hoeven and Éric Schost Homotopy techniques for multiplication modulo triangular sets . . . . . . . . . 1378--1402 Alain Bretto and Alain Faisant Cayley graphs and $G$-graphs: Some applications . . . . . . . . . . . . . . 1403--1412 Anonymous Editorial Board . . . . . . . . . . . . ??
Erich L. Kaltofen and Bin Li and Zhengfeng Yang and Lihong Zhi Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients . . . . . . . . . . . . . . 1--15 Scott McCallum and Volker Weispfenning Deciding polynomial-transcendental problems . . . . . . . . . . . . . . . . 16--31 Adrien Poteaux and Marc Rybowicz Good reduction of Puiseux series and applications . . . . . . . . . . . . . . 32--63 Henrik Bäärnhielm and C. R. Leedham-Green The Product Replacement Prospector . . . 64--75 George Bluman and Raouf Dridi New solutions for ordinary differential equations . . . . . . . . . . . . . . . 76--88 Michael C. Harrison An extension of Kedlaya's algorithm for hyperelliptic curves . . . . . . . . . . 89--101 Itnuit Janovitz-Freireich and Bernard Mourrain and Lajos Rónyai and Ágnes Szántó On the computation of matrices of traces and radicals of ideals . . . . . . . . . 102--122 Anonymous Editorial Board . . . . . . . . . . . . ??
Joel Moses Macsyma: a personal history . . . . . . 123--130 Michael Burr and Sung Woo Choi and Ben Galehouse and Chee K. Yap Complete subdivision algorithms, II: Isotopic meshing of singular algebraic curves . . . . . . . . . . . . . . . . . 131--152 Michael A. Burr and Felix Krahmer SqFreeEVAL: an (almost) optimal real-root isolation algorithm . . . . . 153--166 Jiawang Nie Discriminants and nonnegative polynomials . . . . . . . . . . . . . . 167--191 Ainhoa Aparicio-Monforte and Jacques-Arthur Weil A reduced form for linear differential systems and its application to integrability of Hamiltonian systems . . 192--213 Rida T. Farouki and Takis Sakkalis A complete classification of quintic space curves with rational rotation-minimizing frames . . . . . . . 214--226 Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous Publisher's note . . . . . . . . . . . . ??
Xiaoli Wu and Lihong Zhi Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms 227--238 Michael Kerber and Michael Sagraloff A worst-case bound for topology computation of algebraic curves . . . . 239--258 Vincent Vatter Finding regular insertion encodings for permutation classes . . . . . . . . . . 259--265 Jean-Marc Couveignes and Jean-Gabriel Kammerer The geometry of flex tangents to a cubic curve and its parameterizations . . . . 266--281 Adam Strzebo\'nski Real root isolation for $ \exp $--$ \log $--$ \arctan $ functions . . . . . . . . 282--314 Andreas-Stephan Elsenhans Invariants for the computation of intransitive and transitive Galois groups . . . . . . . . . . . . . . . . . 315--326 Juan G. Alcazar Local shape of generalized offsets to algebraic curves . . . . . . . . . . . . 327--341 Jon González-Sánchez and Michael Harrison and Irene Polo-Blanco and Josef Schicho Algorithms for Del Pezzo surfaces of degree $5$ (construction, parametrization) . . . . . . . . . . . . 342--353 Anonymous Editorial Board . . . . . . . . . . . . ??
Mark Giesbrecht and Daniel Panario In honour of the research and influence of Joachim von zur Gathen at 60 . . . . 355--357 San Ling and Igor E. Shparlinski and Ron Steinfeld and Huaxiong Wang On the modular inversion hidden number problem . . . . . . . . . . . . . . . . 358--367 Pierrick Gaudry and Éric Schost Genus $2$ point counting over prime fields . . . . . . . . . . . . . . . . . 368--400 Thomas Prest and Paul Zimmermann Non-linear polynomial selection for the number field sieve . . . . . . . . . . . 401--409 Mohamed Elkadi and André Galligo and Thang Luu Ba Approximate GCD of several univariate polynomials with small degree perturbations . . . . . . . . . . . . . 410--421 Somit Gupta and Soumojit Sarkar and Arne Storjohann and Johnny Valeriote Triangular $x$-basis decompositions and derandomization of linear algebra algorithms over $ K[x]$ . . . . . . . . 422--453 Martín Avendaño and Ashraf Ibrahim and J. Maurice Rojas and Korben Rusek Faster $p$-adic feasibility for certain multivariate sparse polynomials . . . . 454--479 Matthew T. Comer and Erich L. Kaltofen On the Berlekamp/Massey algorithm and counting singular Hankel matrices over a finite field . . . . . . . . . . . . . . 480--491 Luis H. Gallardo and Olivier Rahavandrainy All unitary perfect polynomials over $ F_2 $ with at most four distinct irreducible factors . . . . . . . . . . 492--502 Anonymous Editorial Board . . . . . . . . . . . . ??
Aurélien Greuet and Feng Guo and Mohab Safey El Din and Lihong Zhi Global optimization of polynomials restricted to a smooth variety using sums of squares . . . . . . . . . . . . 503--518 Torsten Sprenger and Wolfram Koepf Algorithmic determination of $q$-power series for $q$-holonomic functions . . . 519--535 John Abbott Twin-float arithmetic . . . . . . . . . 536--551 Nicole Sutherland Efficient computation of maximal orders in radical (including Kummer) extensions 552--567 Jeaman Ahn and Sijong Kwak and Yeongseok Song The degree complexity of smooth surfaces of codimension $2$ . . . . . . . . . . . 568--581 Anonymous Editorial Board . . . . . . . . . . . . ??
Xiao-Shan Gao and Deepak Kapur Preface . . . . . . . . . . . . . . . . 583--585 Xiao-Shan Gao and Deepak Kapur A brief introduction to Wen-Tsun Wu's academic career . . . . . . . . . . . . 586--588 Bruno Buchberger and Markus Rosenkranz Transforming problems from analysis to algebra: a case study in linear boundary problems . . . . . . . . . . . . . . . . 589--609 Changbo Chen and Marc Moreno Maza Algorithms for computing triangular decomposition of polynomial systems . . 610--642 William Y. C. Chen and Qing-Hu Hou and Yan-Ping Mu The extended Zeilberger algorithm with parameters . . . . . . . . . . . . . . . 643--654 Xiao-Shan Gao and Zhenyu Huang Characteristic set algorithms for equation solving in finite fields . . . 655--679 Evelyne Hubert and Marie-Paule Cani Convolution surfaces based on polygonal curve skeletons . . . . . . . . . . . . 680--699 Nan Li and Lihong Zhi Computing the multiplicity structure of an isolated singular solution: Case of breadth one . . . . . . . . . . . . . . 700--710 Ziming Li and Min Wu Transforming linear functional systems into fully integrable systems . . . . . 711--732 Xuhui Wang and Falai Chen Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces . . . . . 733--750 Anonymous Editorial Board . . . . . . . . . . . . ??
Jeremy R. Johnson and Erich Kaltofen and Hyungju Park Special Issue on Symbolic and Algebraic Computation Foundations, Algorithmics and Applications: ISSAC 2009 . . . . . . 751--751 Ana Romero and Julio Rubio Computing the homology of groups: the geometric way . . . . . . . . . . . . . 752--770 Luca De Feo and Éric Schost Fast arithmetics in Artin--Schreier towers over finite fields . . . . . . . 771--792 Wei Zhou and George Labahn Efficient algorithms for order basis computation . . . . . . . . . . . . . . 793--819 Ioannis Z. Emiris and Angelos Mantzaflaris Multihomogeneous resultant formulae for systems with scaled support . . . . . . 820--842 Jin-San Cheng and Xiao-Shan Gao and Leilei Guo Root isolation of zero-dimensional polynomial systems with linear univariate representation . . . . . . . 843--858 Christopher W. Brown Fast simplifications for Tarski formulas based on monomial inequalities . . . . . 859--882 Hoon Hong and Mohab Safey El Din Variant quantifier elimination . . . . . 883--901 Anonymous Editorial Board . . . . . . . . . . . . ??
Daouda Niang Diatta and Bernard Mourrain and Olivier Ruatta On the isotopic meshing of an algebraic implicit surface . . . . . . . . . . . . 903--925 Martin R. Albrecht and Carlos Cid and Jean-Charles Faug\`ere and Ludovic Perret On the relation between the MXL family of algorithms and Gröbner basis algorithms . . . . . . . . . . . . . . . 926--941 Teresa Krick and Agnes Szanto Sylvester's double sums: an inductive proof of the general case . . . . . . . 942--953 David Harvey The Karatsuba integer middle product . . 954--967 Shaoshi Chen and Manuel Kauers Trading order for degree in creative telescoping . . . . . . . . . . . . . . 968--995 Mordechai Katzman and Karl Schwede An algorithm for computing compatibly Frobenius split subvarieties . . . . . . 996--1008 Anonymous Editorial Board . . . . . . . . . . . . ??
Nicolas Peltier and Viorica Sofronie-Stokkermans First-order theorem proving: Foreword 1009--1010 Peter Baumgartner and Björn Pelzer and Cesare Tinelli Model Evolution with equality --- Revised and implemented . . . . . . . . 1011--1045 Christian Mahesh Hansen and Roger Antonsen and Martin Giese and Arild Waaler Incremental variable splitting . . . . . 1046--1065 Silvio Ranise On the verification of security-aware E-services . . . . . . . . . . . . . . . 1066--1088 Christoph Wernhard Projection and scope-determined circumscription . . . . . . . . . . . . 1089--1108 Claus-Peter Wirth $ \lim + $, $ \delta^+ $, and Non-Permutability of $ \beta $-Steps . . 1109--1135 Anonymous Editorial Board . . . . . . . . . . . . ??
Viktor Levandovskyy and Dusan Pagon and Marko Petkovsek and Valery Romanovski Foreword from the Editors . . . . . . . 1137--1139 Douglas S. Shafer Symbolic computation and the cyclicity problem for singularities . . . . . . . 1140--1153 Zhiheng Yu and Lu Yang and Weinian Zhang Discussion on polynomials having polynomial iterative roots . . . . . . . 1154--1162 Maoan Han and Valery G. Romanovski Isochronicity and normal forms of polynomial systems of ODEs . . . . . . . 1163--1174 Mikhail Klin and Josef Lauri and Matan Ziv-Av Links between two semisymmetric graphs on $ 112 $ vertices via association schemes . . . . . . . . . . . . . . . . 1175--1191 Thomas Cluzeau and Alban Quadrat Serre's reduction of linear partial differential systems with holonomic adjoints . . . . . . . . . . . . . . . . 1192--1213 Viktor Levandovskyy and Kristina Schindelar Fraction-free algorithm for the computation of diagonal forms matrices over Ore domains using Gröbner bases . . 1214--1232 Thomas Bächler and Vladimir Gerdt and Markus Lange-Hegermann and Daniel Robertz Algorithmic Thomas decomposition of algebraic and differential systems . . . 1233--1266 Johannes Blümlein and Sebastian Klein and Carsten Schneider and Flavia Stan A symbolic summation approach to Feynman integral calculus . . . . . . . . . . . 1267--1289 Clemens G. Raab Using Gröbner bases for finding the logarithmic part of the integral of transcendental functions . . . . . . . . 1290--1296 Giandomenico Boffi and Alessandro Logar Computing Gröbner bases of pure binomial ideals via submodules of $ Z^n $ . . . . 1297--1308 Anonymous Editorial Board . . . . . . . . . . . . ??
Graham Ellis and Le Van Luyen Computational homology of $n$-types . . 1309--1317 Jordi Gu\`ardia and Enric Nart and Sebastian Pauli Single-factor lifting and factorization of polynomials over local fields . . . . 1318--1346 M. Foupouagnigni and W. Koepf and D. D. Tcheutia and P. Njionou Sadjang Representations of $q$-orthogonal polynomials . . . . . . . . . . . . . . 1347--1371 George E. Collins and Werner Krandick On the computing time of the continued fractions method . . . . . . . . . . . . 1372--1412 Anonymous Editorial Board . . . . . . . . . . . . ??
Nikolaj Bjòrner and Laura Kovács Foreword . . . . . . . . . . . . . . . . 1413--1415 Thomas Martin Gawlitza and Helmut Seidl and Assalé Adjé and Stéphane Gaubert and Éric Goubault Abstract interpretation meets convex optimization . . . . . . . . . . . . . . 1416--1446 Stéphane Gaubert and Ricardo D. Katz and Sergei Sergeev Tropical linear-fractional programming and parametric mean payoff games . . . . 1447--1478 Olivier Bouissou and Yassamine Seladji and Alexandre Chapoutot Acceleration of the abstract fixpoint computation in numerical program analysis . . . . . . . . . . . . . . . . 1479--1511 Peter Schrammel and Bertrand Jeannet Applying abstract acceleration to (co-)reachability analysis of reactive programs . . . . . . . . . . . . . . . . 1512--1532 Gianluca Amato and Maurizio Parton and Francesca Scozzari Discovering invariants via simple component analysis . . . . . . . . . . . 1533--1560 Anonymous Editorial Board . . . . . . . . . . . . ??
Lamia Labed Jilani and Olfa Mraihi and Asma Louhichi and Wided Ghardallou and Khaled Bsaies and Ali Mili Invariant functions and invariant relations: an alternative to invariant assertions . . . . . . . . . . . . . . . 1--36 Michael Brickenstein and Alexander Dreyer Gröbner-free normal forms for Boolean polynomials . . . . . . . . . . . . . . 37--53 J. I. Farrán and C. Munuera and G. Tizziotti and F. Torres Gröbner basis for norm-trace codes . . . 54--63 Michael Bogner and Stefan Reiter On symplectically rigid local systems of rank four and Calabi--Yau operators . . 64--100 Simon A. King Minimal generating sets of non-modular invariant rings of finite groups . . . . 101--109 Roberto La Scala and Viktor Levandovskyy Skew polynomial rings, Gröbner bases and the letterplace embedding of the free associative algebra . . . . . . . . . . 110--131 Anonymous Editorial Board . . . . . . . . . . . . ??
Wolfram Koepf and Stephen M. Watt Guest Editors' foreword . . . . . . . . 1--2 Changbo Chen and James H. Davenport and John P. May and Marc Moreno Maza and Bican Xia and Rong Xiao Triangular decomposition of semi-algebraic systems . . . . . . . . . 3--26 Deepak Kapur and Yao Sun and Dingkang Wang An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system . . . . . . 27--44 Moulay A. Barkatou and Carole El Bacha and George Labahn and Eckhard Pflügel On simultaneous row and column reduction of higher-order linear differential systems . . . . . . . . . . . . . . . . 45--64 S. A. Abramov and A. A. Ryabenko Linear $q$-difference equations depending on a parameter . . . . . . . . 65--77 Ernst W. Mayr and Stephan Ritscher Dimension-dependent bounds for Gröbner bases of polynomial ideals . . . . . . . 78--94 S. Linton and K. Hammond and A. Konovalov and C. Brown and P. W. Trinder and H.-W. Loidl and P. Horn and D. Roozemond Easy composition of symbolic computation software using SCSCP: a new Lingua Franca for symbolic computation . . . . 95--119 Anonymous Editorial Board . . . . . . . . . . . . ??
Toshinori Oaku Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities . . . . . . . . 1--27 Ming Xu and Zhi-Bin Li Symbolic termination analysis of solvable loops . . . . . . . . . . . . . 28--49 R. Gray and A. Malheiro and S. J. Pride Homotopy bases and finite derivation type for Schützenberger groups of monoids 50--78 B. Paláncz Application of Dixon resultant to satellite trajectory control by pole placement . . . . . . . . . . . . . . . 79--99 A. S. Detinko and D. L. Flannery and E. A. O'Brien Recognizing finite matrix groups over infinite fields . . . . . . . . . . . . 100--109 Adrien Poteaux and Éric Schost On the complexity of computing with zero-dimensional triangular sets . . . . 110--138 Marcus Bishop and J. Matthew Douglass and Götz Pfeiffer and Gerhard Röhrle Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four . . . . . . . . . . 139--158 Thomas Peter and Gerlind Plonka and Daniela Rosca Representation of sparse Legendre expansions . . . . . . . . . . . . . . . 159--169 Bjarke Hammersholt Roune and Eduardo Sáenz-de-Cabezón Complexity and algorithms for Euler characteristic of simplicial complexes 170--196 C. Cadavid and S. Molina and J. D. Vélez Limits of quotients of bivariate real analytic functions . . . . . . . . . . . 197--207 Marie-Françoise Roy and Sidi Mohamed Sedjelmaci New fast Euclidean algorithms . . . . . 208--226 Joris van der Hoeven and Grégoire Lecerf On the bit-complexity of sparse polynomial and series multiplication . . 227--254 E. Ballico and M. Elia and M. Sala On the evaluation of multivariate polynomials over finite fields . . . . . 255--262 Cristina Bertone and Francesca Cioffi and Paolo Lella and Margherita Roggero Upgraded methods for the effective computation of marked schemes on a strongly stable ideal . . . . . . . . . 263--290 Alessandra Bernardi and Kristian Ranestad On the cactus rank of cubics forms . . . 291--297 Alexander Hulpke Computing generators of groups preserving a bilinear form over residue class rings . . . . . . . . . . . . . . 298--307 Abramo Hefez and Marcelo Escudeiro Hernandes Algorithms for the implementation of the analytic classification of plane branches . . . . . . . . . . . . . . . . 308--313 Christopher J. Hillar and Abraham Martín del Campo Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals . . . . . . . . . . . . . 314--334 Dan Roozemond Computing split maximal toral subalgebras of Lie algebras over fields of small characteristic . . . . . . . . 335--349 Hülya Kadioglu and Tracy L. Payne Computational methods for nilsoliton metric Lie algebras I . . . . . . . . . 350--373 Ivan Soprunov Toric complete intersection codes . . . 374--385 Shengchao Qin and Guanhua He and Chenguang Luo and Wei-Ngan Chin and Xin Chen Loop invariant synthesis in a combined abstract domain . . . . . . . . . . . . 386--408 Joachim von zur Gathen Lower bounds for decomposable univariate wild polynomials . . . . . . . . . . . . 409--430 Meng Jin and Xiaoliang Li and Dongming Wang A new algorithmic scheme for computing characteristic sets . . . . . . . . . . 431--449 Luis Felipe Tabera Computing hypercircles by moving hyperplanes . . . . . . . . . . . . . . 450--464 Primoz Potocnik and Pablo Spiga and Gabriel Verret Cubic vertex-transitive graphs on up to 1280 vertices . . . . . . . . . . . . . 465--477 Jason Morton Relations among conditional probabilities . . . . . . . . . . . . . 478--492 Daniel J. Bates and David Eklund and Chris Peterson Computing intersection numbers of Chern classes . . . . . . . . . . . . . . . . 493--507 Shenglong Hu and Zheng-Hai Huang and Chen Ling and Liqun Qi On determinants and eigenvalue theory of tensors . . . . . . . . . . . . . . . . 508--531 John Abbott Bounds on factors in $ \mathbb {Z}[x] $ 532--563 Bernard Mourrain and Nelly Villamizar Homological techniques for the analysis of the dimension of triangular spline spaces . . . . . . . . . . . . . . . . . 564--577 Anonymous Editorial Board . . . . . . . . . . . . ??
Alicia Dickenstein and Sandra Di Rocco and Evelyne Hubert and Josef Schicho Foreword from the Editors . . . . . . . 1--2 Michael Harrison Explicit solution by radicals, gonal maps and plane models of algebraic curves of genus $5$ or $6$ . . . . . . . 3--21 Nathan Owen Ilten and Lars Kastner Calculating generators of multigraded algebras . . . . . . . . . . . . . . . . 22--33 María Isabel Herrero and Gabriela Jeronimo and Juan Sabia Affine solution sets of sparse polynomial systems . . . . . . . . . . . 34--54 Gavin Brown and Alexander M. Kasprzyk Small polygons and toric codes . . . . . 55--62 Jean-Bernard Lasserre and Monique Laurent and Bernard Mourrain and Philipp Rostalski and Philippe Trébuchet Moment matrices, border bases and real radical computation . . . . . . . . . . 63--85 Felipe Rincón Computing tropical linear spaces . . . . 86--98 Janko Böhm and Wolfram Decker and Santiago Laplagne and Gerhard Pfister and Andreas Steenpaß and Stefan Steidel Parallel algorithms for normalization 99--114 Anonymous Editorial Board . . . . . . . . . . . . ??
Ioannis Z. Emiris and Éric Schost Special issue on symbolic and algebraic computation: Foundations, algorithmics and applications: ISSAC 2011 . . . . . . 1--2 Luiz Emilio Allem and Shuhong Gao and Vilmar Trevisan Extracting sparse factors from multivariate integral polynomials . . . 3--16 Mark van Hoeij and Jürgen Klüners and Andrew Novocin Generating subfields . . . . . . . . . . 17--34 André Galligo Deformation of roots of polynomials via fractional derivatives . . . . . . . . . 35--50 A. Bernardi and J. Brachat and P. Comon and B. Mourrain General tensor decomposition, moment matrices and applications . . . . . . . 51--71 Changbo Chen and James H. Davenport and Marc Moreno Maza and Bican Xia and Rong Xiao Computing with semi-algebraic sets: Relaxation techniques and effective boundaries . . . . . . . . . . . . . . . 72--96 Li Guo and William Y. Sit and Ronghua Zhang Differential type operators and Gröbner--Shirshov bases . . . . . . . . . 97--123 Deepak Kapur and Yao Sun and Dingkang Wang An efficient method for computing comprehensive Gröbner bases . . . . . . . 124--142 Anonymous Editorial Board . . . . . . . . . . . . ??
Xiaoran Shi and Xiaohong Jia and Ron Goldman Using a bihomogeneous resultant to find the singularities of rational space curves . . . . . . . . . . . . . . . . . 1--25 Nicole Sutherland Efficient computation of maximal orders in Artin--Schreier extensions . . . . . 26--39 Ye Liang Selecting lengths of floats for the computation of approximate Gröbner bases 40--52 Enrique González-Jiménez and José M. Tornero Markoff--Rosenberger triples in arithmetic progression . . . . . . . . . 53--63 André Galligo Budan tables of real univariate polynomials . . . . . . . . . . . . . . 64--80 Ye Liang Structures of precision losses in computing approximate Gröbner bases . . . 81--95 M. Foupouagnigni and W. Koepf and D. D. Tcheutia Connection and linearization coefficients of the Askey--Wilson polynomials . . . . . . . . . . . . . . 96--118 Cristina Bertone and Paolo Lella and Margherita Roggero A Borel open cover of the Hilbert scheme 119--135 Anonymous Editorial Board . . . . . . . . . . . . ??
John Ballantyne and Peter Rowley A note on computing involution centralizers . . . . . . . . . . . . . . 1--8 Luke Oeding and Giorgio Ottaviani Eigenvectors of tensors and algorithms for Waring decomposition . . . . . . . . 9--35 Moulay A. Barkatou and Carole El Bacha On $k$-simple forms of first-order linear differential systems and their computation . . . . . . . . . . . . . . 36--58 Becky Eide Hall Computing homology using generalized Gröbner bases . . . . . . . . . . . . . . 59--71 Stefan Steidel Gröbner bases of symmetric ideals . . . . 72--86 Anonymous Editorial Board . . . . . . . . . . . . ??
Ryutaroh Matsumoto and Diego Ruano and Olav Geil Generalization of the Lee--O'Sullivan list decoding for one-point AG codes . . 1--9 Feza Arslan and Neslihan Sipahi and Nil Sahin Monomial curve families supporting Rossi's conjecture . . . . . . . . . . . 10--18 Christian Dönch Characterization of relative Gröbner bases . . . . . . . . . . . . . . . . . 19--29 Jean-Charles Faug\`ere and Mohab Safey El Din and Pierre-Jean Spaenlehauer On the complexity of the generalized MinRank problem . . . . . . . . . . . . 30--58 Andreas Arvanitoyeorgos and Ioannis Chrysikos and Yusuke Sakane Proving isometry for homogeneous Einstein metrics on flag manifolds by symbolic computation . . . . . . . . . . 59--71 Y. P. Liu and S. J. Liao and Z. B. Li Symbolic computation of strongly nonlinear periodic oscillations . . . . 72--95 Anonymous Editorial Board . . . . . . . . . . . . ??
Roger Oyono and Nicolas Thériault Group arithmetic in $ C_{3, 5} $ curves 1--26 Heiko Dietrich and Paolo Faccin and Willem A. de Graaf Computing with real Lie algebras: Real forms, Cartan decompositions, and Cartan subalgebras . . . . . . . . . . . . . . 27--45 Claude-Pierre Jeannerod and Clément Pernet and Arne Storjohann Rank-profile revealing Gaussian elimination and the CUP matrix decomposition . . . . . . . . . . . . . 46--68 Hartwig Bosse and Christine Gärtner and Oleg Golubitsky Ideal-specific elimination orders form a star-shaped region . . . . . . . . . . . 69--79 Sonia L. Rueda and Juana Sendra and J. Rafael Sendra An algorithm to parametrize approximately space curves . . . . . . . 80--106 Maria Michalska Curves testing boundedness of polynomials on subsets of the real plane 107--124 Anonymous Editorial Board . . . . . . . . . . . . ??
T. Shaska Computational algebraic geometry . . . . 1--2 H. Lange and P. E. Newstead Bundles of rank $3$ on curves of Clifford index $3$ . . . . . . . . . . . 3--18 Gene Freudenburg Foundations of invariant theory for the down operator . . . . . . . . . . . . . 19--47 Daniel Plaumann and Cynthia Vinzant Determinantal representations of hyperbolic plane curves: an elementary approach . . . . . . . . . . . . . . . . 48--60 Gabriel Bartolini and Antonio F. Costa and Milagros Izquierdo On automorphisms groups of cyclic $p$-gonal Riemann surfaces . . . . . . . 61--69 Amod Agashe and Randy Heaton Computing intersection numbers between abelian varieties associated to subspaces of modular forms . . . . . . . 70--77 Anonymous Editorial Board . . . . . . . . . . . . ??
Rida T. Farouki and Petroula Dospra and Takis Sakkalis Scalar-vector algorithm for the roots of quadratic quaternion polynomials, and the characterization of quintic rational rotation-minimizing frame curves . . . . 1--17 Jin-San Cheng and Kai Jin and Daniel Lazard Certified rational parametric approximation of real algebraic space curves with local generic position method . . . . . . . . . . . . . . . . . 18--40 Zhikun She and Haoyang Li and Bai Xue and Zhiming Zheng and Bican Xia Discovering polynomial Lyapunov functions for continuous dynamical systems . . . . . . . . . . . . . . . . 41--63 Maximilian Jaroschek Improved polynomial remainder sequences for Ore polynomials . . . . . . . . . . 64--76 Martin Weimann Factoring bivariate polynomials using adjoints . . . . . . . . . . . . . . . . 77--98 Rida T. Farouki and Takis Sakkalis Corrigendum to ``Rational rotation-minimizing frames on polynomial space curves of arbitrary degree'' [J. Symbolic Comput. \bf 45(8) (2010) 844--856] . . . . . . . . . . . . . . . 99--102 J. I. García-García and M. A. Moreno-Frías and A. Vigneron-Tenorio On decomposable semigroups and applications . . . . . . . . . . . . . . 103--116 Anonymous Editorial Board . . . . . . . . . . . . ??
Vladimir P. Gerdt and Amir Hashemi and Benyamin M.-Alizadeh Involutive bases algorithm incorporating $ F_5 $ criterion . . . . . . . . . . . 1--20 Christian Eder An analysis of inhomogeneous signature-based Gröbner basis computations . . . . . . . . . . . . . . 21--35 David Gruber and Martin Peternell Conchoid surfaces of quadrics . . . . . 36--53 Joris van der Hoeven Guessing singular dependencies . . . . . 54--80 Harm Derksen The Graph Isomorphism Problem and approximate categories . . . . . . . . . 81--112 Raoul Blankertz and Joachim von zur Gathen and Konstantin Ziegler Compositions and collisions at degree $ p^2 $ . . . . . . . . . . . . . . . . . 113--145 Anonymous Editorial Board . . . . . . . . . . . . ??
Sara Madariaga Gröbner--Shirshov bases for the non-symmetric operands of dendriform algebras and quadri-algebras . . . . . . 1--14 O. Shkaravska and M. van Eekelen Univariate polynomial solutions of algebraic difference equations . . . . . 15--28 Mordechai Katzman and Wenliang Zhang Annihilators of Artinian modules compatible with a Frobenius map . . . . 29--46 Delphine Boucher and Felix Ulmer Self-dual skew codes and factorization of skew polynomials . . . . . . . . . . 47--61 Yongjae Cha Closed form solutions of linear difference equations in terms of symmetric products . . . . . . . . . . . 62--77 Junaid Alam Khan Converting subalgebra bases with the Sagbi walk . . . . . . . . . . . . . . . 78--93 Brendan D. McKay and Adolfo Piperno Practical graph isomorphism, II . . . . 94--112 David Harvey Faster arithmetic for number-theoretic transforms . . . . . . . . . . . . . . . 113--119 David H. Bailey and Jonathan M. Borwein and Alexander D. Kaiser Automated simplification of large symbolic expressions . . . . . . . . . . 120--136
Joaquim Infante Barbosa Symbolic computation in applied computational mechanics . . . . . . . . 1--2 C. M. C. Roque Symbolic and numerical analysis of plates in bending using Matlab . . . . . 3--11 M. A. R. Loja On the use of particle swarm optimization to maximize bending stiffness of functionally graded structures . . . . . . . . . . . . . . . 12--30 H. Policarpo and M. M. Neves and N. M. M. Maia On a hybrid analytical-experimental technique to assess the storage modulus of resilient materials using symbolic computation . . . . . . . . . . . . . . 31--52 Miguel Belbut Gaspar and Nelson Martins-Ferreira A procedure for computing the symmetric difference of regions defined by polygonal curves . . . . . . . . . . . . 53--65 José Luis Galán-García and Gabriel Aguilera-Venegas and Pedro Rodríguez-Cielos Technology integration into mathematics education and applications . . . . . . . 66--69 Alfonsa García and Francisco García and Ángel Martín del Rey and Gerardo Rodríguez and Agustín de la Villa Changing assessment methods: New rules, new roles . . . . . . . . . . . . . . . 70--84 Djordje M. Kadijevich Neglected critical issues of effective CAS utilization . . . . . . . . . . . . 85--99 Rein Prank A tool for evaluating solution economy of algebraic transformations . . . . . . 100--115 S. V. Joubert and M. Y. Shatalov and C. E. Coetzee Using Fourier series to analyse mass imperfections in vibratory gyroscopes 116--127
Veronika Pillwein and Stefan Takacs A local Fourier convergence analysis of a multigrid method using symbolic computation . . . . . . . . . . . . . . 1--20 Li-Yong Shen and Sonia Pérez-Díaz Characterization of rational ruled surfaces . . . . . . . . . . . . . . . . 21--45 Nicolette Meshkat and Seth Sullivant Identifiable reparametrizations of linear compartment models . . . . . . . 46--67 Patrick Dehornoy and Volker Gebhardt Algorithms for Garside calculus . . . . 68--116
Jean-Charles Faug\`ere and Domingo Gómez-Pérez and Jaime Gutierrez and Ludovic Perret Mathematical and computer algebra techniques in cryptology . . . . . . . . 1--2 Felix Fontein and Pawel Wocjan On the probability of generating a lattice . . . . . . . . . . . . . . . . 3--15 Jaime Gutierrez and Álvar Ibeas and Antoine Joux Recovering a sum of two squares decomposition . . . . . . . . . . . . . 16--21 Srinivas Vivek and C. E. Veni Madhavan Cubic Sieve Congruence of the Discrete Logarithm Problem, and fractional part sequences . . . . . . . . . . . . . . . 22--34 Igor E. Shparlinski Products with variables from low-dimensional affine spaces and shifted power identity testing in finite fields . . . . . . . . . . . . . . . . . 35--41 Arne Winterhof Generalizations of complete mappings of finite fields and some applications . . 42--52 Alev Topuzoglu The Carlitz rank of permutations of finite fields: a survey . . . . . . . . 53--66 Irene Márquez-Corbella and Edgar Martínez-Moro and Ruud Pellikaan and Diego Ruano Computational aspects of retrieving a representation of an algebraic geometry code . . . . . . . . . . . . . . . . . . 67--87
Maria Francis and Ambedkar Dukkipati Reduced Gröbner bases and Macaulay--Buchberger Basis Theorem over Noetherian rings . . . . . . . . . . . . 1--14 Hiram H. López and Rafael H. Villarreal Computing the degree of a lattice ideal of dimension one . . . . . . . . . . . . 15--28 Niels Lubbes Minimal families of curves on surfaces 29--48 Walid Belkhir and Alain Giorgetti and Michel Lenczner A symbolic transformation language and its application to a multiscale method 49--78 Michael Sagraloff On the complexity of the Descartes method when using approximate arithmetic 79--110 Simon A. King A non-commutative $ F_5 $ algorithm with an application to the computation of Loewy layers . . . . . . . . . . . . . . 111--129
Adrian Popescu An algorithm to compute the Hilbert depth . . . . . . . . . . . . . . . . . 1--7 Jens-Dietrich Bauch Genus computation of global function fields . . . . . . . . . . . . . . . . . 8--20 Manuel Kauers and Lily Yen On the length of integers in telescopers for proper hypergeometric terms . . . . 21--33 Kurt Mehlhorn and Michael Sagraloff and Pengming Wang From approximate factorization to root isolation with application to cylindrical algebraic decomposition . . 34--69 S. Margulies and S. Onn and D. V. Pasechnik On the complexity of Hilbert refutations for partition . . . . . . . . . . . . . 70--83 Lei Feng and Weiping Wang An algorithm for computing mixed sums of products of Bernoulli polynomials and Euler polynomials . . . . . . . . . . . 84--97 A. A. Kytmanov and A. M. Kytmanov and E. K. Myshkina Finding residue integrals for systems of non-algebraic equations in $ C^n $ . . . 98--110 G. Hanrot and P. Zimmermann Corrigendum to ``A long note on Mulders' short product'' [J. Symb. Comput. \bf 37 (3) (2004) 391--401] . . . . . . . . . . 111--112 Anonymous Editorial Board . . . . . . . . . . . . ifc
Jeremiah W. Johnson Weight ideals associated to regular and log-linear arrays . . . . . . . . . . . 1--15 Robert Milson and Francis Valiquette Point equivalence of second-order ODEs: Maximal invariant classification order 16--41 David Lubicz and Damien Robert A generalisation of Miller's algorithm and applications to pairing computations on abelian varieties . . . . . . . . . . 68--92 I. Durand and G. Sénizergues Bottom-up rewriting for words and terms 93--121 Anonymous Editorial Board . . . . . . . . . . . . ifc
Alicia Dickenstein and Jan Draisma and Bernard Mourrain Special issue on effective methods in algebraic computation . . . . . . . . . 1--3
Shaoshi Chen and Frédéric Chyzak and Ruyong Feng and Guofeng Fu and Ziming Li On the existence of telescopers for mixed hypergeometric terms . . . . . . . 1--26
Mario Albert and Matthias Fetzer and Eduardo Sáenz-de-Cabezón and Werner M. Seiler On the free resolution induced by a Pommaret basis . . . . . . . . . . . . . 4--26
Henrik Bäärnhielm and Derek Holt and C. R. Leedham-Green and E. A. O'Brien A practical model for computation with matrix groups . . . . . . . . . . . . . 27--60
Velleda Baldoni and Arzu Boysal and Mich\`ele Vergne Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces . . . . . . . . . . . . . . . . 27--60
Magdaleen S. Marais and Andreas Steenpaß The classification of real singularities using Singular. Part I: Splitting Lemma and simple singularities . . . . . . . . 61--71
Frédéric Bihan Maximally positive polynomial systems supported on circuits . . . . . . . . . 61--74
Carlos D'Andrea and Teresa Krick and Agnes Szanto Subresultants, Sylvester sums and the rational interpolation problem . . . . . 72--83
Winfried Bruns and Christof Söger The computation of generalized Ehrhart series in Normaliz . . . . . . . . . . . 75--86
Yacine Bouzidi and Sylvain Lazard and Marc Pouget and Fabrice Rouillier Separating linear forms and Rational Univariate Representations of bivariate systems . . . . . . . . . . . . . . . . 84--119
Michela Ceria and Teo Mora and Margherita Roggero Term-ordering free involutive bases . . 87--108 Andreas-Stephan Elsenhans Explicit computations of invariants of plane quartic curves . . . . . . . . . . 109--115 Alexander Esterov and Gleb Gusev Systems of equations with a single solution . . . . . . . . . . . . . . . . 116--130
S. A. Abramov and M. A. Barkatou and D. E. Khmelnov On full rank differential systems with power series coefficients . . . . . . . 120--137
E. Fortuna and P. Gianni and B. M. Trager Computation of topological invariants for real projective surfaces with isolated singularities . . . . . . . . . 131--166
A. S. Detinko and D. L. Flannery and W. A. de Graaf Integrality and arithmeticity of solvable linear groups . . . . . . . . . 138--145 Ming Xu and Zhi-Bin Li and Lu Yang Quantifier elimination for a class of exponential polynomial formulas . . . . 146--168
Gábor Hegedüs and Zijia Li and Josef Schicho and Hans-Peter Schröcker The theory of bonds II: Closed 6R linkages with maximal genus . . . . . . 167--180
Wei Li and Chun-Ming Yuan and Xiao-Shan Gao Sparse difference resultant . . . . . . 169--203
Sadik Iliman and Timo de Wolff Separating inequalities for nonnegative polynomials that are not sums of squares 181--194 Pascal Koiran and Natacha Portier and Sébastien Tavenas A Wronskian approach to the real $ \tau $-conjecture . . . . . . . . . . . . . . 195--214
Jin-San Cheng and Kai Jin A generic position based method for real root isolation of zero-dimensional polynomial systems . . . . . . . . . . . 204--224
Pierre-Vincent Koseleff and Daniel Pecker On Alexander--Conway polynomials of two-bridge links . . . . . . . . . . . . 215--229
Cristian-Silviu Radu An algorithmic approach to Ramanujan--Kolberg identities . . . . . 225--253
Romain Lebreton Relaxed Hensel lifting of triangular sets . . . . . . . . . . . . . . . . . . 230--258
Adam Boocher and Elina Robeva Robust toric ideals . . . . . . . . . . 254--264
Ralph Morrison and Qingchun Ren Algorithms for Mumford curves . . . . . 259--284
Isabel Bermejo and Ignacio García-Marco Complete intersections in simplicial toric varieties . . . . . . . . . . . . 265--286
Patrik Norén The three-state toric homogeneous Markov chain model has Markov degree two . . . 285--296
Alexei Yu. Uteshev and Marina V. Yashina Metric problems for quadrics in multidimensional space . . . . . . . . . 287--315
Jose Israel Rodriguez Combinatorial excess intersection . . . 297--307 Marius van der Put and Jaap Top Stratified order one differential equations in positive characteristic . . 308--315
Gerhard Angermüller Triangular systems and a generalization of primitive polynomials . . . . . . . . 316--325 Anonymous Editorial Board . . . . . . . . . . . . ifc
Anonymous Editorial Board . . . . . . . . . . . . ifc
Adel Bouhoula and Bruno Buchberger and Laura Kovács and Temur Kutsia Special issue on symbolic computation in software science . . . . . . . . . . . . 1--2 M. Alpuente and D. Ballis and F. Frechina and J. Sapiña Exploring conditional rewriting logic computations . . . . . . . . . . . . . . 3--39 Walid Belkhir and Yannick Chevalier and Michael Rusinowitch Parametrized automata simulation and application to service composition . . . 40--60 Isabela Dramnesc and Tudor Jebelean Synthesis of list algorithms by mechanical proving . . . . . . . . . . . 61--92 Tetsuo Ida and Fadoua Ghourabi and Kazuko Takahashi Formalizing polygonal knot origami . . . 93--108 Harald Zankl and Sarah Winkler and Aart Middeldorp Beyond polynomials and Peano arithmetic --- automation of elementary and ordinal interpretations . . . . . . . . . . . . 129--158 Anonymous Editorial Board . . . . . . . . . . . . ifc
Rok Pozar Some computational aspects of solvable regular covers of graphs . . . . . . . . 1--13 Christopher W. Brown and Marek Kosta Constructing a single cell in cylindrical algebraic decomposition . . 14--48 Magali Bardet and Jean-Charles Faug\`ere and Bruno Salvy On the complexity of the $ F_5 $ Gröbner basis algorithm . . . . . . . . . . . . 49--70 Teresa Cortadellas Benítez and Carlos D'Andrea The Rees Algebra of a monomial plane parametrization . . . . . . . . . . . . 71--105 George E. Collins Krandick's proof of Lagrange's real root bound claim . . . . . . . . . . . . . . 106--111 Hoon Hong and Xiaoxian Tang and Bican Xia Special algorithm for stability analysis of multistable biological regulatory systems . . . . . . . . . . . . . . . . 112--135 Anonymous Editorial Board . . . . . . . . . . . . ifc
Joris van der Hoeven Towards semantic mathematical editing 1--46 L. X. Chau Ngo and K. A. Nguyen and M. van der Put and J. Top Equivalence of differential equations of order one . . . . . . . . . . . . . . . 47--59 Ruben A. Hidalgo and Pilar Johnson Field of moduli of generalized Fermat curves of type $ (k, 3) $ with an application to non-hyperelliptic dessins d'enfants . . . . . . . . . . . . . . . 60--72 Nicole Sutherland Computing Galois groups of polynomials (especially over function fields of prime characteristic) . . . . . . . . . 73--97 Xavier Caruso Random matrices over a DVR and $ L U $ factorization . . . . . . . . . . . . . 98--123 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Yue Ma and Chu Wang and Lihong Zhi A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals 1--20 George E. Collins Continued fraction real root isolation using the Hong root bound . . . . . . . 21--54 Tomás Recio and J. Rafael Sendra and Luis-Felipe Tabera and Carlos Villarino On tubular vs. swung surfaces . . . . . 55--64 Scott McCallum and Hoon Hong On using Lazard's projection in CAD construction . . . . . . . . . . . . . . 65--81 Carsten Schneider A difference ring theory for symbolic summation . . . . . . . . . . . . . . . 82--127 Noah S. Daleo and Jonathan D. Hauenstein Numerically deciding the arithmetically Cohen--Macaulayness of a projective scheme . . . . . . . . . . . . . . . . . 128--146 Claudia R. Alcántara Stratification of the space of foliations on CP$^2$ . . . . . . . . . . 147--160 Gregor Kemper Using extended Derksen ideals in computational invariant theory . . . . . 161--181 Domingo Gómez-Pérez and Jaime Gutierrez and Alina Ostafe Common composites of triangular polynomial systems and hash functions 182--195 Lionel Ducos and Samiha Monceur and Ihsen Yengui Computing the $V$-saturation of finitely-generated submodules of $ V[X]^m$ where $V$ is a valuation domain 196--205 Jingjun Han and Zhi Jin and Bican Xia Proving inequalities and solving global optimization problems via simplified CAD projection . . . . . . . . . . . . . . . 206--230 Romain Lebreton and Éric Schost A simple and fast online power series multiplication and its analysis . . . . 231--251 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Mathias Soeken and Laura Tague and Gerhard W. Dueck and Rolf Drechsler Ancilla-free synthesis of large reversible functions using binary decision diagrams . . . . . . . . . . . 1--26 Chiara Marcolla and Marco Pellegrini and Massimiliano Sala On the small-weight codewords of some Hermitian codes . . . . . . . . . . . . 27--45 Michael Sagraloff and Kurt Mehlhorn Computing real roots of real polynomials 46--86 Rida T. Farouki and Robert Gutierrez Geometry of the ringed surfaces in $ \mathbb {R}^4 $ that generate spatial Pythagorean hodographs . . . . . . . . . 87--103 Francesca Cioffi and Paolo Lella and Maria Grazia Marinari A combinatorial description of finite $O$-sequences and aCM genera . . . . . . 104--119 Martin Helmer Algorithms to compute the topological Euler characteristic, Chern--Schwartz--MacPherson class and Segr\`e class of projective varieties 120--138 Ioannis Z. Emiris and Vissarion Fisikopoulos and Bernd Gärtner Efficient edge-skeleton computation for polytopes defined by oracles . . . . . . 139--152 H. W. Lenstra, Jr. and A. Silverberg Determining cyclicity of finite modules 153--156 César Massri Solving a sparse system using linear algebra . . . . . . . . . . . . . . . . 157--174 Ruyong Feng and Li-Yong Shen Computing the intersections of three conics according to their Jacobian curve 175--191 Takahiro Kubota and Yoshihiko Kakutani and Go Kato and Yasuhito Kawano and Hideki Sakurada Semi-automated verification of security proofs of quantum cryptographic protocols . . . . . . . . . . . . . . . 192--220 Xiaohong Jia and Wenping Wang and Yi-King Choi and Bernard Mourrain and Changhe Tu Continuous detection of the variations of the intersection curve of two moving quadrics in $3$-dimensional projective space . . . . . . . . . . . . . . . . . 221--243 Leonard L. Scott and Timothy Sprowl Computing individual Kazhdan--Lusztig basis elements . . . . . . . . . . . . . 244--249 Jaume Giné and Claudia Valls Center problem in the center manifold for quadratic differential systems in $ \mathbb {R}^3 $ . . . . . . . . . . . . 250--267 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Federico Galetto Propagating weights of tori along free resolutions . . . . . . . . . . . . . . 1--45 Dima Grigoriev and Gleb Koshevoy Complexity of tropical Schur polynomials 46--54 Gavin Harrison and Jeremy Johnson and B. David Saunders Probabilistic analysis of Wiedemann's algorithm for minimal polynomial computation . . . . . . . . . . . . . . 55--69 C. T. Lee and C. C. Lee Symbolic computation on a second-order KdV equation . . . . . . . . . . . . . . 70--95 Elizaveta Frenkel and Andrey Nikolaev and Alexander Ushakov Knapsack problems in products of groups 96--108 Anders Lundman Local positivity of line bundles on smooth toric varieties and Cayley polytopes . . . . . . . . . . . . . . . 109--124 V. E. Adler Integrability test for evolutionary lattice equations of higher order . . . 125--139 Rida T. Farouki and Graziano Gentili and Carlotta Giannelli and Alessandra Sestini and Caterina Stoppato Solution of a quadratic quaternion equation with mixed coefficients . . . . 140--151 S. Margulies and J. Morton Polynomial-time solvable #CSP problems via algebraic models and Pfaffian circuits . . . . . . . . . . . . . . . . 152--180 Victor Y. Pan and Elias P. Tsigaridas Nearly optimal refinement of real roots of a univariate polynomial . . . . . . . 181--204 Didier Henrion and Simone Naldi and Mohab Safey El Din Real root finding for determinants of linear matrices . . . . . . . . . . . . 205--238 Jonathan D. Hauenstein and Alan C. Liddell, Jr. Certified predictor-corrector tracking for Newton homotopies . . . . . . . . . 239--254 Marek Kosta and Thomas Sturm and Andreas Dolzmann Better answers to real questions . . . . 255--275 Johannes Rauh and Seth Sullivant Lifting Markov bases and higher codimension toric fiber products . . . . 276--307 Burçin Eröcal and Oleksandr Motsak and Frank-Olaf Schreyer and Andreas Steenpaß Refined algorithms to compute syzygies 308--327 Wojciech Nawalaniec Algorithms for computing symbolic representations of basic $e$-sums and their application to composites . . . . 328--345 Magdaleen S. Marais and Andreas Steenpaß The classification of real singularities using Singular. Part II: the structure of the equivalence classes of the unimodal singularities . . . . . . . . . 346--366 Jan Vrsek and Miroslav Lávicka Recognizing implicitly given rational canal surfaces . . . . . . . . . . . . . 367--377 Marta Abril Bucero and Bernard Mourrain Border basis relaxation for polynomial optimization . . . . . . . . . . . . . . 378--399 Charles Ching-An Cheng and Takis Sakkalis On new types of rational rotation-minimizing frame space curves 400--407 A. Odabas and E. Ö. Uslu and E. Ilgaz Isoclinism of crossed modules . . . . . 408--424 Valérie Berthé and Lo\"\ick Lhote and Brigitte Vallée Probabilistic analyses of the plain multiple gcd algorithm . . . . . . . . . 425--474 Abdallah Assi and Pedro A. García-Sánchez Algorithms for curves with one place at infinity . . . . . . . . . . . . . . . . 475--492 Nicolás Botbol and Alicia Dickenstein Implicitization of rational hypersurfaces via linear syzygies: a practical overview . . . . . . . . . . . 493--512 Winfried Bruns and Bogdan Ichim and Christof Söger The power of pyramid decomposition in Normaliz . . . . . . . . . . . . . . . . 513--536 A. Aparicio-Monforte and T. Dreyfus and J.-A. Weil Liouville integrability: an effective Morales--Ramis--Simó theorem . . . . . . 537--560 J. William Hoffman and Zhibin Liang and Yukiko Sakai and Haohao Wang Genus 3 curves whose Jacobians have endomorphisms by $ \mathbb {Q}(\zeta_7 + \bar {\zeta }_7) $ . . . . . . . . . . . 561--577 Hara Charalambous and Apostolos Thoma and Marius Vladoiu Binomial fibers and indispensable binomials . . . . . . . . . . . . . . . 578--591 Aaron Herman and Hoon Hong Quality of positive root bounds . . . . 592--602 Paul Görlach and Cordian Riener and Tillmann Weißer Deciding positivity of multisymmetric polynomials . . . . . . . . . . . . . . 603--616 Shaoshi Chen and Manuel Kauers and Michael F. Singer Desingularization of Ore operators . . . 617--626 Alexandru Dimca and Gabriel Sticlaru Syzygies of Jacobian ideals and weighted homogeneous singularities . . . . . . . 627--634 Giovanni Staglian\`o Examples of special quadratic birational transformations into complete intersections of quadrics . . . . . . . 635--649 Christopher J. Hillar and Abraham Martín del Campo Corrigendum to ``Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals'' [J. Symb. Comput. \bf 50 (March 2013) 314--334] . . . . . . . . . . . . . . . 650--652 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Kosaku Nagasaka and Agnes Szanto and Franz Winkler Special issue on the conference ISSAC 2014: Symbolic computation and computer algebra . . . . . . . . . . . . . . . . 1--3 Andrew Arnold and Mark Giesbrecht and Daniel S. Roche Faster sparse multivariate polynomial interpolation of straight-line programs 4--24 Carlos E. Arreche On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters 25--55 V. C. Bui and G. H. E. Duchamp and V. Hoang Ngoc Minh and L. Kane and C. Tollu Dual bases for noncommutative symmetric and quasi-symmetric functions via monoidal factorization . . . . . . . . . 56--73 Changbo Chen and Marc Moreno Maza Quantifier elimination by cylindrical algebraic decomposition based on regular chains . . . . . . . . . . . . . . . . . 74--93 Volker Diekert and Jonathan Kausch Logspace computations in graph products 94--109 Madalina Erascu and Hoon Hong Real quantifier elimination for the synthesis of optimal numerical algorithms (Case study: Square root computation) . . . . . . . . . . . . . . 110--126 Mark Giesbrecht and Albert Heinle and Viktor Levandovskyy Factoring linear partial differential operators in $n$ variables . . . . . . . 127--148 José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro An isomorphism test for modules over a non-commutative PID. Applications to similarity of Ore polynomials . . . . . 149--170 Bruno Grenet Bounded-degree factors of lacunary multivariate polynomials . . . . . . . . 171--192 Hideaki Izumi The prompter method: a treatment for hard-to-solve iterative functional equations . . . . . . . . . . . . . . . 193--208 Erich L. Kaltofen and Zhengfeng Yang Sparse multivariate function recovery with a small number of evaluations . . . 209--218 Yasuhito Kawano and Hiroshi Sekigawa Quantum Fourier transform over symmetric groups --- improved result . . . . . . . 219--243 Konstantin Ziegler Tame decompositions and collisions . . . 244--268 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Russell Bradford and James H. Davenport and Matthew England and Scott McCallum and David Wilson Truth table invariant cylindrical algebraic decomposition . . . . . . . . 1--35 Adam Strzebo\'nski Cylindrical algebraic decomposition using local projections . . . . . . . . 36--64 Dang Tuan Hiep Rational curves on Calabi--Yau threefolds: Verifying mirror symmetry predictions . . . . . . . . . . . . . . 65--83 Cheyne Homberger and Vincent Vatter On the effective and automatic enumeration of polynomial permutation classes . . . . . . . . . . . . . . . . 84--96 Gurmeet K. Bakshi and Sugandha Maheshwary Extremely strong Shoda pairs with GAP 97--106 Jean-Charles Faug\`ere and Mohab Safey El Din and Thibaut Verron On the complexity of computing Gröbner bases for weighted homogeneous systems 107--141 Laurent Busé and Anna Karasoulou Resultant of an equivariant polynomial system with respect to the symmetric group . . . . . . . . . . . . . . . . . 142--157 Michael DiPasquale Associated primes of spline complexes 158--199 Mohammad Sadek Periodic continued fractions and elliptic curves over quadratic fields 200--218 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jesús A. De Loera and Sonja Petrovi\'c and Despina Stasi Random sampling in computational algebra: Helly numbers and violator spaces . . . . . . . . . . . . . . . . . 1--15 François Boulier and François Lemaire and Joseph Lallemand and Georg Regensburger and Markus Rosenkranz Additive normal forms and integration of differential fractions . . . . . . . . . 16--38 Ricardo Burity and Aron Simis and Stefan O. Toh\uaneanu On a conjecture of Vasconcelos via Sylvester forms . . . . . . . . . . . . 39--62 Warisa Nakpim Third-order ordinary differential equations equivalent to linear second-order ordinary differential equations via tangent transformations 63--77 Michael A. Burr Continuous amortization and extensions: With applications to bisection-based root isolation . . . . . . . . . . . . . 78--126 Yisheng Lai and Falai Chen Implicitizing rational surfaces using moving quadrics constructed from moving planes . . . . . . . . . . . . . . . . . 127--161 Ya-Lun Tsai Estimating the number of tetrahedra determined by volume, circumradius and four face areas using Groebner basis . . 162--174 Maksim Vaskouski and Nikita Kondratyonok Shortest division chains in unique factorization domains . . . . . . . . . 175--188 Nicole Sutherland Efficient computation of maximal orders in Artin--Schreier--Witt extensions . . 189--216 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Michael Kerber Special issue on algorithms and software for computational topology . . . . . . . 1--2 Amit Chattopadhyay and Gert Vegter and Chee K. Yap Certified computation of planar Morse--Smale complexes . . . . . . . . . 3--40 Henry King and Kevin Knudson and Neza Mramor Kosta Birth and death in discrete Morse theory 41--60 Madjid Allili and Tomasz Kaczynski and Claudia Landi Reducing complexes in multidimensional persistent homology theory . . . . . . . 61--75 Ulrich Bauer and Michael Kerber and Jan Reininghaus and Hubert Wagner Phat --- Persistent Homology Algorithms Toolbox . . . . . . . . . . . . . . . . 76--90 Peter Bubenik and Pawel Dlotko A persistence landscapes toolbox for topological statistics . . . . . . . . . 91--114 Paul Glenn and William W. Menasco and Kayla Morrell and Matthew J. Morse MICC: a tool for computing short distances in the curve complex . . . . . 115--132 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jan Draisma and Giorgio Ottaviani and Fabrice Rouillier Foreword . . . . . . . . . . . . . . . . 1--3 A. Assi and P. A. García-Sánchez and V. Micale Bases of subalgebras of $ K[[x]] $ and $ K[x] $ . . . . . . . . . . . . . . . . . 4--22 Grigoriy Blekherman and Rainer Sinn Extreme rays of Hankel spectrahedra for ternary forms . . . . . . . . . . . . . 23--42 Giandomenico Boffi and Alessandro Logar Border bases for lattice ideals . . . . 43--56 José F. Fernando and Carlos Ueno A short proof for the open quadrant problem . . . . . . . . . . . . . . . . 57--64 Matteo Gallet and Georg Nawratil and Josef Schicho Liaison linkages . . . . . . . . . . . . 65--98 Emil Horobet and Jose Israel Rodriguez The maximum likelihood data singular locus . . . . . . . . . . . . . . . . . 99--107 Zander Kelley and Sean W. Owen Estimating the number of roots of trinomials over finite fields . . . . . 108--118 Thomas Markwig and Yue Ren and Oliver Wienand Standard bases in mixed power series and polynomial rings over rings . . . . . . 119--139 Fatemeh Mohammadi and Eduardo Sáenz-de-Cabezón and Henry P. Wynn Types of signature analysis in reliability based on Hilbert series . . 140--155 Andrew R. Stout On the auto Igusa-zeta function of an algebraic curve . . . . . . . . . . . . 156--185 Bernd Sturmfels The Hurwitz form of a projective variety 186--196 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xianbo Sun and Wentao Huang Bounding the number of limit cycles for a polynomial Liénard system by using regular chains . . . . . . . . . . . . . 197--210 Andreas-Stephan Elsenhans Improved methods for the construction of relative invariants for permutation groups . . . . . . . . . . . . . . . . . 211--231 Marta R. Hidalgo and Robert Joan-Arinyo A Henneberg-based algorithm for generating tree-decomposable minimally rigid graphs . . . . . . . . . . . . . . 232--248 Isidoro Gitler and Enrique Reyes and Juan A. Vega CIO and ring graphs: Deficiency and testing . . . . . . . . . . . . . . . . 249--268 S. K. Sinanan and D. F. Holt Algorithms for polycyclic-by-finite groups . . . . . . . . . . . . . . . . . 269--284 Hoon Hong and Yonggu Kim and Georgy Scholten and J. Rafael Sendra Resultants over commutative idempotent semirings I: Algebraic aspect . . . . . 285--308 Jon González-Sánchez and Irene Polo-Blanco Construction algorithms for rational cubic surfaces . . . . . . . . . . . . . 309--326 Zsolt Szilágyi Computation of Jeffrey--Kirwan residues using Gröbner bases . . . . . . . . . . . 327--341 Timur Sadykov Polynomial dynamics of human blood genotypes frequencies . . . . . . . . . 342--355 Jorge N. M. Ferreira and Peter Fleischmann The invariant rings of the Sylow groups of $ {\rm GU}(3, q^2) $, $ {\rm GU}(4, q^2) $, $ {\rm Sp}(4, q) $ and $ O^+(4, q) $ in the natural characteristic . . . 356--371 Joachim König On rational functions with monodromy group $ M_{11} $ . . . . . . . . . . . . 372--383 Ryutaroh Matsumoto and Diego Ruano and Olav Geil List decoding algorithm based on voting in Gröbner bases for general one-point AG codes . . . . . . . . . . . . . . . . . 384--410 Xavier Caruso and Jérémy Le Borgne A new faster algorithm for factoring skew polynomials over finite fields . . 411--443 George E. Collins On the maximum computing time of the bisection method for real root isolation 444--456 Muhammad Imran Qureshi Computing isolated orbifolds in weighted flag varieties . . . . . . . . . . . . . 457--474 S. A. Abramov On ramification indices of formal solutions of constructive linear ordinary differential systems . . . . . 475--481 Ian G. Lisle and S.-L. Tracy Huang Algorithmic calculus for Lie determining systems . . . . . . . . . . . . . . . . 482--498 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Jonathan D. Hauenstein and Andrew J. Sommese What is numerical algebraic geometry? 499--507 Daniel J. Bates and Andrew J. Newell and Matthew E. Niemerg Decoupling highly structured polynomial systems . . . . . . . . . . . . . . . . 508--515 Tianran Chen and Tsung-Lin Lee and Tien-Yien Li Mixed cell computation in Hom4PS-3 . . . 516--534 Tianran Chen and Dhagash Mehta Parallel degree computation for binomial systems . . . . . . . . . . . . . . . . 535--558 Abraham Martín del Campo and Jose Israel Rodriguez Critical points via monodromy and local methods . . . . . . . . . . . . . . . . 559--574 Jonathan D. Hauenstein and Viktor Levandovskyy Certifying solutions to square systems of polynomial--exponential equations . . 575--593 Nickolas Hein and Frank Sottile A lifted square formulation for certifiable Schubert calculus . . . . . 594--608 Robert Krone and Anton Leykin Eliminating dual spaces . . . . . . . . 609--622 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Arthur Renaudineau A tropical construction of a family of real reducible curves . . . . . . . . . 251--272 Mohammad Masjed-Jamei and Wolfram Koepf Symbolic computation of some power-trigonometric series . . . . . . . 273--284 Rémi Imbach and Guillaume Moroz and Marc Pouget A certified numerical algorithm for the topology of resultant and discriminant curves . . . . . . . . . . . . . . . . . 285--306 Maria-Laura Torrente and Mauro C. Beltrametti and Andrew J. Sommese Perturbation results on the zero-locus of a polynomial . . . . . . . . . . . . 307--328 Tristan Vaccon Matrix-F5 algorithms over finite-precision complete discrete valuation fields . . . . . . . . . . . . 329--350 Alin Bostan and Pierre Lairez and Bruno Salvy Multiple binomial sums . . . . . . . . . 351--386 Hernán de Alba and Marcel Morales Betti numbers of binomial ideals . . . . 387--402 Roberto La Scala Monomial right ideals and the Hilbert series of noncommutative modules . . . . 403--415 Martin Scheicher Gröbner bases and their application to the Cauchy problem on finitely generated affine monoids . . . . . . . . . . . . . 416--450 Daniel J. Hernández and Pedro Teixeira $F$-threshold functions: Syzygy gap fractals and the two-variable homogeneous case . . . . . . . . . . . . 451--483 Murat Cenk and M. Anwar Hasan On the arithmetic complexity of Strassen-like matrix multiplications . . 484--501 Hwangrae Lee The Euclidean distance degree of Fermat hypersurfaces . . . . . . . . . . . . . 502--510 Joshua Maglione Efficient characteristic refinements for finite groups . . . . . . . . . . . . . 511--520
José Martín Méndez González Revealing regions of multiple steady states in heterogeneous catalytic chemical reaction networks using Gröbner basis . . . . . . . . . . . . . . . . . 521--537 Jean-Charles Faug\`ere and Chenqi Mou Sparse FGLM algorithms . . . . . . . . . 538--569 Gerhard Pfister and Dorin Popescu Constructive General Neron Desingularization for one dimensional local rings . . . . . . . . . . . . . . 570--580 Jean-François Biasse and Claus Fieker and Tommy Hofmann On the computation of the HNF of a module over the ring of integers of a number field . . . . . . . . . . . . . . 581--615 Carsten Schneider Summation Theory II: Characterizations of $ R \Pi \Sigma^\ast $-extensions and algorithmic aspects . . . . . . . . . . 616--664 Xiao-Shan Gao and Zhang Huang and Chun-Ming Yuan Binomial difference ideals . . . . . . . 665--706 John Abbott Fault-tolerant modular reconstruction of rational numbers . . . . . . . . . . . . 707--718 Christian Eder and Jean-Charles Faug\`ere A survey on signature-based algorithms for computing Gröbner bases . . . . . . . 719--784 Jingjun Han and Liyun Dai and Hoon Hong and Bican Xia Open weak CAD and its applications . . . 785--816 Alice C. Niemeyer and Götz Pfeiffer and Cheryl E. Praeger On the complexity of multiplication in the Iwahori--Hecke algebra of the symmetric group . . . . . . . . . . . . 817--832 Man-Wai Cheung and Christian Ikenmeyer and Sevak Mkrtchyan Symmetrizing tableaux and the 5th case of the Foulkes conjecture . . . . . . . 833--843 Hoon Hong and Zachary Hough and Irina A. Kogan Algorithm for computing $ \mu $-bases of univariate polynomials . . . . . . . . . 844--874
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Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Isabel Bermejo and Eva García-Llorente and Ignacio García-Marco Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences . . . . 1--19 John Abbott and Anna Maria Bigatti and Lorenzo Robbiano Implicitization of hypersurfaces . . . . 20--40 Moulay A. Barkatou and Maximilian Jaroschek and Suzy S. Maddah Formal solutions of completely integrable Pfaffian systems with normal crossings . . . . . . . . . . . . . . . 41--68 Nicolás Botbol and Laurent Busé and Marc Chardin and Seyed Hamid Hassanzadeh and Aron Simis and Quang Hoa Tran Effective criteria for bigraded birational maps . . . . . . . . . . . . 69--87 Frédéric Bihan and Boulos El Hilany A sharp bound on the number of real intersection points of a sparse plane curve with a line . . . . . . . . . . . 88--96 Rui-Juan Jing and Chun-Ming Yuan A modular algorithm to compute the generalized Hermite normal form for $ \mathbb {Z[x]} $-lattices . . . . . . . 97--118 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Robert Krone and Anton Leykin Numerical algorithms for detecting embedded components . . . . . . . . . . 1--18 Prashant Batra and Maurice Mignotte and Doru Stefanescu Improvements of Lagrange's bound for polynomial roots . . . . . . . . . . . . 19--25 Corey Harris Computing Segr\`e classes in arbitrary projective varieties . . . . . . . . . . 26--37 Mahdi Dehghani Darmian and Amir Hashemi Parametric FGLM algorithm . . . . . . . 38--56 Adam Mahdi and Claudio Pessoa and Jonathan D. Hauenstein A hybrid symbolic-numerical approach to the center-focus problem . . . . . . . . 57--73 Simon Keicher and Thomas Kremer A test for monomial containment . . . . 74--90 Katsusuke Nabeshima and Shinichi Tajima Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals . . . . . . 91--122 Sylvain Lazard and Marc Pouget and Fabrice Rouillier Bivariate triangular decompositions in the presence of asymptotes . . . . . . . 123--133 Liangjie Ye A symbolic decision procedure for relations arising among Taylor coefficients of classical Jacobi theta functions . . . . . . . . . . . . . . . 134--163 Alberto Arri and John Perry Corrigendum to ``The F5 criterion revised'' [J. Symb. Comput. 46 (2) (2011) 1017--1029] . . . . . . . . . . . 164--165 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Kazuhiro Yokoyama Special issue on the conference ISSAC 2015: Symbolic computation and computer algebra . . . . . . . . . . . . . . . . 1--3 Prashant Batra and Vikram Sharma Near optimal subdivision algorithms for real root isolation . . . . . . . . . . 4--35 Jérémy Berthomieu and Brice Boyer and Jean-Charles Faug\`ere Linear algebra for computing Gröbner bases of linear recursive multidimensional sequences . . . . . . . 36--67 Alin Bostan and Louis Dumont and Bruno Salvy Algebraic diagonals and walks: Algorithms, bounds, complexity . . . . . 68--92 V. C. Bui and G. H. E. Duchamp and V. Hoang Ngoc Minh Structure of polyzetas and explicit representation on transcendence bases of shuffle and stuffle algebras . . . . . . 93--111 Michela Ceria and Teo Mora Buchberger--Weispfenning theory for effective associative rings . . . . . . 112--146 Volker Diekert and Alexei G. Myasnikov and Armin Weiß Amenability of Schreier graphs and strongly generic algorithms for the conjugacy problem . . . . . . . . . . . 147--165 G. H. E. Duchamp and V. Hoang Ngoc Minh and Quoc Hoan Ngo Harmonic sums and polylogarithms at non-positive multi-indices . . . . . . . 166--186 Jean-Guillaume Dumas and Clément Pernet and Ziad Sultan Fast computation of the rank profile matrix and the generalized Bruhat decomposition . . . . . . . . . . . . . 187--210 José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro Computing separability elements for the sentence-ambient algebra of split ideal codes . . . . . . . . . . . . . . . . . 211--227 Jonathan D. Hauenstein and Bernard Mourrain and Agnes Szanto On deflation and multiplicity structure 228--253 Erdal Imamo\uglu and Mark van Hoeij Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases . . . . . . 254--271 Claude-Pierre Jeannerod and Vincent Neiger and Éric Schost and Gilles Villard Computing minimal interpolation bases 272--314 Thomas Markwig and Yue Ren Gröbner fans of $x$-homogeneous ideals in $ R[[t]][x]$ . . . . . . . . . . . . . . 315--341 Jose Israel Rodriguez and Xiaoxian Tang A probabilistic algorithm for computing data-discriminants of likelihood equations . . . . . . . . . . . . . . . 342--364 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Lin Jiu and Victor H. Moll and Christophe Vignat A symbolic approach to multiple zeta values at negative integers . . . . . . 1--13 Ralf Hemmecke Dancing samba with Ramanujan partition congruences . . . . . . . . . . . . . . 14--24 Aaron Herman and Hoon Hong and Elias Tsigaridas Improving root separation bounds . . . . 25--56 Cyrille Chenavier Reduction operators and completion of rewriting systems . . . . . . . . . . . 57--83 Andrey Nikolaev and Alexander Ushakov Subset sum problem in polycyclic groups 84--94 Tomas Sauer Prony's method in several variables: Symbolic solutions by universal interpolation . . . . . . . . . . . . . 95--112 V. Baldoni and M. Vergne and M. Walter Computation of dilated Kronecker coefficients . . . . . . . . . . . . . . 113--146 Tulay Ayyildiz Ako\uglu and Jonathan D. Hauenstein and Agnes Szanto Certifying solutions to overdetermined and singular polynomial systems over $ \mathbb {Q} $ . . . . . . . . . . . . . 147--171 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Xiao-Shan Gao Preface . . . . . . . . . . . . . . . . 1--3 Juan Gerardo Alcázar and Carlos Hermoso and Georg Muntingh Similarity detection of rational space curves . . . . . . . . . . . . . . . . . 4--24 Xavier Allamigeon and Stéphane Gaubert and Mateusz Skomra Solving generic nonarchimedean semidefinite programs using stochastic game algorithms . . . . . . . . . . . . 25--54 Eric Bach and Bryce Sandlund Baby-step giant-step algorithms for the symmetric group . . . . . . . . . . . . 55--71 Valérie Berthé and Lo\"\ick Lhote and Brigitte Vallée The Brun gcd algorithm in high dimensions is almost always subtractive 72--107 Shaoshi Chen and Mark van Hoeij and Manuel Kauers and Christoph Koutschan Reduction-based creative telescoping for fuchsian $D$-finite functions . . . . . 108--127 Richard Gustavson and Alexey Ovchinnikov and Gleb Pogudin New order bounds in differential elimination algorithms . . . . . . . . . 128--147 Cheng-Chao Huang and Jing-Cao Li and Ming Xu and Zhi-Bin Li Positive root isolation for poly-powers by exclusion and differentiation . . . . 148--169 Ming-Deh Huang and Lian Liu Generating sets for the multiplicative groups of algebras over finite fields and expander graphs . . . . . . . . . . 170--187 Viktor Levandovskyy and Albert Heinle A factorization algorithm for $G$-algebras and its applications . . . 188--205 Simone Naldi Solving rank-constrained semidefinite programs in exact arithmetic . . . . . . 206--223 Clément Pernet and Arne Storjohann Time and space efficient generators for quasiseparable matrices . . . . . . . . 224--246 Jamal Hossein Poor and Clemens G. Raab and Georg Regensburger Algorithmic operator algebras via normal forms in tensor rings . . . . . . . . . 247--274 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Maria Francis and Ambedkar Dukkipati On Gröbner bases and Krull dimension of residue class rings of polynomial rings over integral domains . . . . . . . . . 1--19 Amir Hashemi and Michael Schweinfurter and Werner M. Seiler Deterministic genericity for polynomial ideals . . . . . . . . . . . . . . . . . 20--50 Ruben Becker and Michael Sagraloff and Vikram Sharma and Chee Yap A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration . . . . 51--96 Gunnar Flòystad and Joe Kileel and Giorgio Ottaviani The Chow form of the essential variety in computer vision . . . . . . . . . . . 97--119 P.-V. Koseleff and D. Pecker and F. Rouillier and C. Tran Computing Chebyshev knot diagrams . . . 120--141 Heiko Dietrich and Ian M. Wanless Small partial latin squares that embed in an infinite group but not into any finite group . . . . . . . . . . . . . . 142--152 Janko Böhm and Anne Frühbis-Krüger A smoothness test for higher codimensions . . . . . . . . . . . . . . 153--165 Sajid Ali and Hassan Azad and Indranil Biswas and Ryad Ghanam and M. T. Mustafa Embedding algorithms and applications to differential equations . . . . . . . . . 166--188 Alessandra Bernardi and Alessandro Gimigliano and Monica Id\`a Singularities of plane rational curves via projections . . . . . . . . . . . . 189--214 Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Jie Wang Difference indices of quasi-prime difference algebraic systems . . . . . . 1--13 Gabriela Jeronimo and Juan Sabia Sparse resultants and straight-line programs . . . . . . . . . . . . . . . . 14--27 Douglas Navarro Guevara Primitive transcendental functions and symbolic computation . . . . . . . . . . 28--53 Bo Lin Computing linear systems on metric graphs . . . . . . . . . . . . . . . . . 54--67 Michael Hauer and Bert Jüttler Projective and affine symmetries and equivalences of rational curves in arbitrary dimension . . . . . . . . . . 68--86 Maria-Laura Torrente and Matteo Varbaro Computing the Betti table of a monomial ideal: a reduction algorithm . . . . . . 87--98 Nathan Fox Discovering linear-recurrent solutions to Hofstadter-like recurrences using symbolic computation . . . . . . . . . . 99--126 N. Thieu Vo and Georg Grasegger and Franz Winkler Deciding the existence of rational general solutions for first-order algebraic ODEs . . . . . . . . . . . . . 127--139 Hayden D. Stainsby Triangular bases of integral closures 140--175 Mohab Safey El Din and Éric Schost Bit complexity for multi-homogeneous polynomial system solving --- Application to polynomial minimization 176--206 Ming-Deh A. Huang and Michiel Kosters and Yun Yang and Sze Ling Yeo On the last fall degree of zero-dimensional Weil descent systems 207--226 Alex Massarenti and Massimiliano Mella and Giovanni Staglian\`o Effective identifiability criteria for tensors and polynomials . . . . . . . . 227--237 Przemys\law Koprowski and Kurt Mehlhorn and Saurabh Ray Corrigendum to ``Faster algorithms for computing Hong's bound on absolute positiveness'' [\booktitleJ. Symb. Comput. \bf 45 (2010) 677--683] . . . . 238--241
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Meera Sitharam and Audrey St. John Foreword to special issue . . . . . . . 1--4 Gaiane Panina and Dirk Siersma Motion planning and control of a planar polygonal linkage . . . . . . . . . . . 5--20 Meera Sitharam and Mohamad Tarifi and Menghan Wang Combinatorial rigidity of incidence systems and application to dictionary learning . . . . . . . . . . . . . . . . 21--46 D. Kitson and B. Schulze Motions of grid-like reflection frameworks . . . . . . . . . . . . . . . 47--66 Michel Deza and Mathieu Dutour Sikiri\'c The hypermetric cone and polytope on eight vertices and some generalizations 67--84
Anonymous Editorial Board . . . . . . . . . . . . ii--ii David Harvey and Joris van der Hoeven On the complexity of integer matrix multiplication . . . . . . . . . . . . . 1--8 S. C. Coutinho Bounding the degree of solutions of differential equations . . . . . . . . . 9--25 Víctor Álvarez and José Andrés Armario and Raúl M. Falcón and María Dolores Frau and Félix Gudiel Gröbner bases and cocyclic Hadamard matrices . . . . . . . . . . . . . . . . 26--40 Richard Gustavson and Omar León Sánchez Effective bounds for the consistency of differential equations . . . . . . . . . 41--72 Haohao Wang and Ron Goldman Syzygies for translational surfaces . . 73--93 T. Vávra and F. Veneziano Pisot unit generators in number fields 94--108 Thomas Kunkle Flat extension and ideal projection . . 109--120 Cícero Carvalho and María Chara and Luciane Quoos On evaluation codes coming from a tower of function fields . . . . . . . . . . . 121--128 Przemyslaw Koprowski and Alfred Czogala Computing with quadratic forms over number fields . . . . . . . . . . . . . 129--145 Katsusuke Nabeshima and Katsuyoshi Ohara and Shinichi Tajima Comprehensive Gröbner systems in PBW algebras, Bernstein--Sato ideals and holonomic $D$-modules . . . . . . . . . 146--170 Liangjie Ye Elliptic function based algorithms to prove Jacobi theta function relations 171--193 Sven Puchinger and Antonia Wachter-Zeh Fast operations on linearized polynomials and their applications in coding theory . . . . . . . . . . . . . 194--215 Sz. Tengely and M. Ulas On a problem of Pethö . . . . . . . . . . 216--226 Tristan Vaccon Matrix--F5 algorithms and tropical Gröbner bases computation . . . . . . . . 227--254
Anonymous Editorial Board . . . . . . . . . . . . ii--ii James Harold Davenport and Temur Kutsia Symbolic computation in software science 1--2 Isabela Dramnesc and Tudor Jebelean and Sorin Stratulat Mechanical synthesis of sorting algorithms for binary trees by logic and combinatorial techniques . . . . . . . . 3--41 Manfred Schmidt-Schauß and David Sabel and Yunus D. K. Kutz Nominal unification with atom-variables 42--64 Adnan Rashid and Osman Hasan Formal analysis of continuous-time systems using Fourier transform . . . . 65--88 Thibault Gauthier and Cezary Kaliszyk Aligning concepts across proof assistant libraries . . . . . . . . . . . . . . . 89--123 Pascal Schreck and Pascal Mathis Using jointly geometry and algebra to determine RC-constructibility . . . . . 124--148 Pierre Boutry and Gabriel Braun and Julien Narboux Formalization of the arithmetization of Euclidean plane geometry and applications . . . . . . . . . . . . . . 149--168
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Hannah Markwig and Bernard Mourrain and Giorgio Ottaviani Foreword on the special issue of JSC on the occasion of MEGA 2017 . . . . . . . 1--2 Thomas Bauer and Sandra Di Rocco and David Schmitz and Tomasz Szemberg and Justyna Szpond On the postulation of lines and a fat line . . . . . . . . . . . . . . . . . . 3--16 Joydip Saha and Indranath Sengupta and Gaurab Tripathi Ideals of the form $ I_1 (X Y) $ . . . . 17--29 Michela Ceria Bar code for monomial ideals . . . . . . 30--56 Sebastian Posur Constructing equivariant vector bundles via the BGG correspondence . . . . . . . 57--73 Marina Bertolini and Roberto Notari and Cristina Turrini The Bordiga surface as critical locus for $3$-view reconstructions . . . . . . 74--97 Alexandru Dimca and Gabriel Sticlaru Computing the monodromy and pole order filtration on Milnor fiber cohomology of plane curves . . . . . . . . . . . . . . 98--115 Simon Hampe and Michael Joswig and Benjamin Schröter Algorithms for tight spans and tropical linear spaces . . . . . . . . . . . . . 116--128 Xavier Allamigeon and Stéphane Gaubert and Mateusz Skomra The tropical analogue of the Helton--Nie conjecture is true . . . . . . . . . . . 129--148 Mareike Dressler and Sadik Iliman and Timo de Wolff An approach to constrained polynomial optimization via nonnegative circuit polynomials and geometric programming 149--172 Anton Leykin and Josephine Yu Beyond polyhedral homotopies . . . . . . 173--180 Thorsten Jörgens and Thorsten Theobald and Timo de Wolff Imaginary projections of polynomials . . 181--199 Elena Angelini Waring decompositions and identifiability via Bertini and Macaulay2 software . . . . . . . . . . . 200--212
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Ivan Marin Proof of the BMR conjecture for $ G_{20} $ and $ G_{21} $ . . . . . . . . . . . . 1--14 Jinwang Liu and Dongmei Li and Weijun Liu Some criteria for Gröbner bases and their applications . . . . . . . . . . . . . . 15--21 Rok Pozar Computing stable epimorphisms onto finite groups . . . . . . . . . . . . . 22--30 Adam Strzebonski and Elias Tsigaridas Univariate real root isolation in an extension field and applications . . . . 31--51 Scott McCallum and Adam Parusi\'nski and Laurentiu Paunescu Validity proof of Lazard's method for CAD construction . . . . . . . . . . . . 52--69 Christopher Jefferson and Markus Pfeiffer and Rebecca Waldecker New refiners for permutation group search . . . . . . . . . . . . . . . . . 70--92 Maria Alberich-Carramiñana and Josep \`Alvarez Montaner and Guillem Blanco Effective computation of base points of ideals in two-dimensional local rings 93--109 James East and Attila Egri-Nagy and James D. Mitchell and Yann Péresse Computing finite semigroups . . . . . . 110--155 Markus Rosenkranz and Nitin Serwa An integro-differential structure for Dirac distributions . . . . . . . . . . 156--189 Zijia Li and Josef Schicho and Hans-Peter Schröcker Factorization of motion polynomials . . 190--202 Alexander Cant and Bettina Eick Polynomials describing the multiplication in finitely generated torsion-free nilpotent groups . . . . . 203--210 Julien Chien and Sam Nelson Virtual links with finite medial bikei 211--221 Carlos Améndola and Nathan Bliss and Isaac Burke and Courtney R. Gibbons and Martin Helmer and Serkan Ho\csten and Evan D. Nash and Jose Israel Rodriguez and Daniel Smolkin The maximum likelihood degree of toric varieties . . . . . . . . . . . . . . . 222--242 Grégoire Lecerf On the complexity of the Lickteig--Roy subresultant algorithm . . . . . . . . . 243--268 José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro Computing the bound of an Ore polynomial. Applications to factorization . . . . . . . . . . . . . 269--297
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Andreas-Stephan Elsenhans and Jürgen Klüners Computing subfields of number fields and applications to Galois group computations . . . . . . . . . . . . . . 1--20 Qing-Hu Hou and Zuo-Ru Zhang Asymptotic $r$-log-convexity and P-recursive sequences . . . . . . . . . 21--33 François Boulier and François Lemaire and Adrien Poteaux and Marc Moreno Maza An equivalence theorem for regular differential chains . . . . . . . . . . 34--55 Juan Du and Ron Goldman and Xuhui Wang Rational curves over generalized complex numbers . . . . . . . . . . . . . . . . 56--84 Abbas Nasrollah Nejad and Ashkan Nikseresht and Ali Akbar Yazdan Pour and Rashid Zaare-Nahandi On the blowup of affine spaces along monomial ideals: Tameness . . . . . . . 85--99 Sara Kalisnik and Davorin Lesnik Symmetric polynomials in tropical algebra semirings . . . . . . . . . . . 100--119 Luca Amata and Marilena Crupi Computation of graded ideals with given extremal Betti numbers in a polynomial ring . . . . . . . . . . . . . . . . . . 120--132 Shaoshi Chen and Christoph Koutschan Proof of the Wilf--Zeilberger conjecture for mixed hypergeometric terms . . . . . 133--147 W. R. Unger An algorithm for computing Schur indices of characters . . . . . . . . . . . . . 148--160 Jonas Szutkoski and Mark van Hoeij The complexity of computing all subfields of an algebraic number field 161--182 Melanie Gerling Bivariate chromatic polynomials in computer algebra . . . . . . . . . . . . 183--199 Victor Magron and Mohab Safey El Din and Markus Schweighofer Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials . . . . . . . . . . . . . . 200--220 Ji-Cai Liu Semi-automated proof of supercongruences on partial sums of hypergeometric series 221--229 J. I. García-García and D. Marín-Aragón and M. A. Moreno-Frías On divisor-closed submonoids and minimal distances in finitely generated monoids 230--245
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Wayne Eberly Automating algorithm selection: Checking for matrix properties that can simplify computations . . . . . . . . . . . . . . 1--29 Angel Blasco and Sonia Pérez-Díaz The limit point and the $T$-function . . 30--51 Jürgen Herzog and Ayesha Asloob Qureshi and Maryam Mohammadi Saem The fiber cone of a monomial ideal in two variables . . . . . . . . . . . . . 52--69 Pilar Benito and Daniel de-la-Concepción and Jorge Roldán-López and Iciar Sesma Quadratic $2$-step Lie algebras: Computational algorithms and classification . . . . . . . . . . . . . 70--89 Antonio Jiménez-Pastor and Veronika Pillwein A computable extension for $D$-finite functions: $ D D$-finite functions . . . 90--104 Cristina Bertone and Francesca Cioffi and Davide Franco Functors of liftings of projective schemes . . . . . . . . . . . . . . . . 105--125 Konrad Schrempf On the factorization of non-commutative polynomials (in free associative algebras) . . . . . . . . . . . . . . . 126--148 Ana Romero and Julio Rubio and Francis Sergeraert An implementation of effective homotopy of fibrations . . . . . . . . . . . . . 149--172 Péter Kutas Splitting quaternion algebras over quadratic number fields . . . . . . . . 173--182 Moulay A. Barkatou and Suzy S. Maddah Formal solutions of singularly-perturbed linear differential systems . . . . . . 183--209 Yashpreet Kaur and Varadharaj R. Srinivasan Integration in finite terms with dilogarithmic integrals, logarithmic integrals and error functions . . . . . 210--233 Nicholas Coxon Fast systematic encoding of multiplicity codes . . . . . . . . . . . . . . . . . 234--254
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Belén García and Jaume Llibre and Antón Lombardero and Jesús S. Pérez del Río An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems . . . . 1--25 John J. Cannon and Derek F. Holt and William R. Unger The use of permutation representations in structural computations in large finite matrix groups . . . . . . . . . . 26--38 Ralf Hemmecke and Silviu Radu Construction of all polynomial relations among Dedekind eta functions of level $N$ . . . . . . . . . . . . . . . . . . 39--52 Evelyne Hubert Invariant algebraic sets and symmetrization of polynomial systems . . 53--67 Tung Le and Kay Magaard and Alessandro Paolini The irreducible characters of the Sylow $p$-subgroups of the Chevalley groups $ D_6 (p^f)$ and $ E_6 (p^f)$ . . . . . . 68--99 Michela Ceria and Teo Mora and Margherita Roggero A general framework for Noetherian well ordered polynomial reductions . . . . . 100--133 Yairon Cid-Ruiz Bounding the degrees of a minimal $ \mu $-basis for a rational surface parametrization . . . . . . . . . . . . 134--150 Pascal Koiran Root separation for trinomials . . . . . 151--161 Leo Margolis On the prime graph question for integral group rings of Conway simple groups . . 162--176 Enzo Aljovin and Hossein Movasati and Roberto Villaflor Loyola Integral Hodge conjecture for Fermat varieties . . . . . . . . . . . . . . . 177--184 Yongbin Li and Qiuju Fu and Renbin Deng Symbolic computation on the partition lattice of an $n$-set . . . . . . . . . 185--201 Rida T. Farouki Existence of Pythagorean-hodograph quintic interpolants to spatial $ G^1 $ Hermite data with prescribed arc lengths 202--216 Shaoshi Chen and Manuel Kauers and Ziming Li and Yi Zhang Apparent singularities of $D$-finite systems . . . . . . . . . . . . . . . . 217--237
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Xiaoning Zeng and Shuijing Xiao Determining the limits of bivariate rational functions by Sturm's theorem 1--21 Zeyu Guo Deterministic polynomial factoring over finite fields: a uniform approach via $P$-schemes . . . . . . . . . . . . . . 22--61 Christina Boura and Eirini Chavli and Maria Chlouveraki and Konstantinos Karvounis The BMM symmetrising trace conjecture for groups $ G_4 $, $ G_5 $, $ G_6 $, $ G_7 $, $ G_8 $ . . . . . . . . . . . . . 62--84 Marie-Françoise Roy and Aviva Szpirglas Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation . . . . . . . . . . . . . 85--107 Takafumi Shibuta and Shinichi Tajima An algorithm for computing the Hilbert--Samuel multiplicities and reductions of zero-dimensional ideals of Cohen--Macaulay local rings . . . . . . 108--121 Yoav Len and Hannah Markwig Lifting tropical bitangents . . . . . . 122--152
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Francisco Botana and Zoltán Kovács and Tomas Recio Special issue on dynamic geometry and automated reasoning . . . . . . . . . . 1--2 Milica Selakovi\'c and Vesna Marinkovi\'c and Predrag Janici\'c New dynamics in dynamic geometry: Dragging constructed points . . . . . . 3--15 Zoltán Kovács and Tomás Recio and M. Pilar Vélez Reasoning about linkages with dynamic geometry . . . . . . . . . . . . . . . . 16--30 Pedro Quaresma and Vanda Santos and Pierluigi Graziani and Nuno Baeta Taxonomies of geometric problems . . . . 31--55 Thierry Dana-Picard An automated study of isoptic curves of an astroid . . . . . . . . . . . . . . . 56--68 Michael Strobel Non-standard analysis in dynamic geometry . . . . . . . . . . . . . . . . 69--108
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Laura Menini and Corrado Possieri and Antonio Tornamb\`e A symbolic algorithm to compute immersions of polynomial systems into linear ones up to an output injection 1--20 Tommi Junttila and Matti Karppa and Petteri Kaski and Jukka Kohonen An adaptive prefix-assignment technique for symmetry reduction . . . . . . . . . 21--49 Bertrand Nguefack and Emmanuel Pola Effective Buchberger--Zacharias--Weispfenning theory of skew polynomial extensions of subbilateral coherent rings . . . . . . 50--107 Feng Guo and Tiêo'n Ph\dam On types of degenerate critical points of real polynomial functions . . . . . . 108--126 Eliana Duarte and Christiane Görgen Equations defining probability tree models . . . . . . . . . . . . . . . . . 127--146 Teo Mora Zacharias representation of effective associative rings . . . . . . . . . . . 147--188 Michael Monagan and Baris Tuncer The complexity of sparse Hensel lifting and sparse polynomial factorization . . 189--230 Domingo Gómez-Pérez and László Mérai and Igor E. Shparlinski On the complexity of exact counting of dynamically irreducible polynomials . . 231--241 Alexander Woo and Alexander Yong Tropicalization, symmetric polynomials, and complexity . . . . . . . . . . . . . 242--249 Janko Böhm and Magdaleen S. Marais and Andreas Steenpaß The classification of real singularities using Singular. Part III: Unimodal singularities of corank 2 . . . . . . . 250--282
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Michael Burr and Shuhong Gao and Elias Tsigaridas The complexity of subdivision for diameter--distance tests . . . . . . . . 1--27 Roberto La Scala and Dmitri Piontkovski and Sharwan K. Tiwari Noncommutative algebras, context-free grammars and algebraic Hilbert series 28--50 Derek Holt and Gordon Royle A census of small transitive groups and vertex-transitive graphs . . . . . . . . 51--60 Dima Grigoriev Decomposing tropical rational functions 61--72 Sergei A. Abramov and Marko Petkovsek and Helena Zakrajsek Convolutions of Liouvillian sequences 73--89 Zoran Z. Petrovi\'c and Branislav I. Prvulovi\'c and Marko Radovanovi\'c Gröbner bases for (partial) flag manifolds . . . . . . . . . . . . . . . 90--108 Ce Xu and Weiping Wang Explicit formulas of Euler sums via multiple zeta values . . . . . . . . . . 109--127 Ioannis Emiris and Bernard Mourrain and Elias Tsigaridas Separation bounds for polynomial systems 128--151 Tony Ezome and Mohamadou Sall Normal bases from $1$-dimensional algebraic groups . . . . . . . . . . . . 152--169 Swaroop N. Prabhakar and Vikram Sharma Improved bounds on absolute positiveness of multivariate polynomials . . . . . . 170--188 Andreas Arvanitoyeorgos and Yusuke Sakane and Marina Statha Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands . . . . . . . 189--201 Merlin Mouafo Wouodjié and Wolfram Koepf On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions . . . . . . . . 202--241 A. Stoimenow Hyperbolicity of the canonical genus two knots . . . . . . . . . . . . . . . . . 242--269 Jérémy Berthomieu and Jean-Charles Faug\`ere In-depth comparison of the Berlekamp--Massey-Sakata and the Scalar-FGLM algorithms: the adaptive variants . . . . . . . . . . . . . . . . 270--303 Anna Seigal Ranks and symmetric ranks of cubic surfaces . . . . . . . . . . . . . . . . 304--317 Shiping Chen and Zhong Liu Automated proof of mixed trigonometric-polynomial inequalities 318--329 A. Bostan and T. Krick and A. Szanto and M. Valdettaro Subresultants of $ (x - \alpha)^m $ and $ (x - \beta)^n $, Jacobi polynomials and complexity . . . . . . . . . . . . . 330--351 Dominik Barth and Joachim König and Andreas Wenz An approach for computing families of multi-branch-point covers and applications for symplectic Galois groups . . . . . . . . . . . . . . . . . 352--366 Qiao-Long Huang and Xiao-Shan Gao Faster interpolation algorithms for sparse multivariate polynomials given by straight-line programs . . . . . . . . . 367--386
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Mohab Safey El Din and Chee Yap Special Issue on Symbolic and Algebraic Computation: ISSAC 2017 . . . . . . . . 1--2 Dmitry A. Lyakhov and Vladimir P. Gerdt and Dominik L. Michels On the algorithmic linearizability of nonlinear ordinary differential equations . . . . . . . . . . . . . . . 3--22 Johannes Hoffmann and Viktor Levandovskyy Constructive arithmetics in Ore localizations of domains . . . . . . . . 23--46 Amir Hashemi and Werner M. Seiler Dimension and depth dependent upper bounds in polynomial ideal theory . . . 47--64 Laurent Busé and Angelos Mantzaflaris and Elias Tsigaridas Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials . . . . . . . 65--83 Russell Bradford and James H. Davenport and Matthew England and Hassan Errami and Vladimir Gerdt and Dima Grigoriev and Charles Hoyt and Marek Ko\vsta and Ovidiu Radulescu and Thomas Sturm and Andreas Weber Identifying the parametric occurrence of multiple steady states for some biological networks . . . . . . . . . . 84--119 Parisa Alvandi and Masoud Ataei and Mahsa Kazemi and Marc Moreno Maza On the Extended Hensel Construction and its application to the computation of real limit points . . . . . . . . . . . 120--162 Seung Gyu Hyun and Vincent Neiger and Hamid Rahkooy and Éric Schost Block-Krylov techniques in the context of sparse-FGLM algorithms . . . . . . . 163--191 Claude-Pierre Jeannerod and Vincent Neiger and Gilles Villard Fast computation of approximant bases in canonical form . . . . . . . . . . . . . 192--224 Mark Giesbrecht and Joseph Haraldson and George Labahn Computing lower rank approximations of matrix polynomials . . . . . . . . . . . 225--245 Jean-Guillaume Dumas and Erich Kaltofen and David Lucas and Clément Pernet Elimination-based certificates for triangular equivalence and rank profiles 246--269 Nicholas Coxon Fast Hermite interpolation and evaluation over finite fields of characteristic two . . . . . . . . . . . 270--283 Ignacio García-Marco and Pascal Koiran and Timothée Pecatte Reconstruction algorithms for sums of affine powers . . . . . . . . . . . . . 284--318 Michael Clausen Linear time Fourier transforms of $ S_{n - k} $-invariant functions on the symmetric group $ S_n $ . . . . . . . . 319--357
Anonymous Editorial Board . . . . . . . . . . . . ii--ii James H. Davenport and Matthew England and Alberto Griggio and Thomas Sturm and Cesare Tinelli Symbolic computation and satisfiability checking . . . . . . . . . . . . . . . . 1--10 Gereon Kremer and Erika Ábrahám Fully incremental cylindrical algebraic decomposition . . . . . . . . . . . . . 11--37 Matthew England and Russell Bradford and James H. Davenport Cylindrical algebraic decomposition with equational constraints . . . . . . . . . 38--71 Christopher W. Brown and Fernando Vale-Enriquez From simplification to a partial theory solver for non-linear real polynomial constraints . . . . . . . . . . . . . . 72--101 Martin Bromberger and Thomas Sturm and Christoph Weidenbach A complete and terminating approach to linear integer solving . . . . . . . . . 102--136 John Abbott and Anna Maria Bigatti and Elisa Palezzato and Lorenzo Robbiano Computing and using minimal polynomials 137--163 Jan Horácek and Martin Kreuzer On conversions from CNF to ANF . . . . . 164--186 Curtis Bright and Ilias Kotsireas and Vijay Ganesh Applying computer algebra systems with SAT solvers to the Williamson conjecture 187--209
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Manuel Kauers and Alexey Ovchinnikov and Eric Schost Foreword . . . . . . . . . . . . . . . . 1--2 Deepak Kapur and Dong Lu and Michael Monagan and Yao Sun and Dingkang Wang Algorithms for computing greatest common divisors of parametric multivariate polynomials . . . . . . . . . . . . . . 3--20 Christian Eder and Gerhard Pfister and Adrian Popescu Standard bases over Euclidean domains 21--36 José Gómez-Torrecillas and F. J. Lobillo and Gabriel Navarro Cyclic distances of idempotent convolutional codes . . . . . . . . . . 37--62 Bernard Mourrain and Simon Telen and Marc Van Barel Truncated normal forms for solving polynomial systems: Generalized and efficient algorithms . . . . . . . . . . 63--85 Moulay A. Barkatou and Maximilian Jaroschek Removing apparent singularities of linear difference systems . . . . . . . 86--107 Chenqi Mou and Yang Bai and Jiahua Lai Chordal graphs in triangular decomposition in top-down style . . . . 108--131 Tristan Vaccon and Thibaut Verron and Kazuhiro Yokoyama On affine tropical F5 algorithms . . . . 132--152 Curtis Bright and Ilias Kotsireas and Albert Heinle and Vijay Ganesh Complex Golay pairs up to length 28: a search via computer algebra and programmatic SAT . . . . . . . . . . . . 153--172 Alexander Levin Bivariate Kolchin-type dimension polynomials of non-reflexive prime difference-differential ideals. The case of one translation . . . . . . . . . . . 173--188 Evangelos Bartzos and Ioannis Z. Emiris and Jan Legerský and Elias Tsigaridas On the maximal number of real embeddings of minimally rigid graphs in $ R_2 $, $ R_3 $ and $ S^2 $ . . . . . . . . . . . 189--208 Johannes Hoffmann and Viktor Levandovskyy Constructive arithmetics in Ore localizations enjoying enough commutativity . . . . . . . . . . . . . 209--230 Moulay A. Barkatou and Joelle Saade and Jacques-Arthur Weil Formal reduction of singular linear differential systems using eigenrings: a refined approach . . . . . . . . . . . . 231--258 Mohab Safey El Din and Zhi-Hong Yang and Lihong Zhi Computing real radicals and $S$-radicals of polynomial systems . . . . . . . . . 259--278 Johan Rosenkilde and Arne Storjohann Algorithms for simultaneous Hermite--Padé approximations . . . . . . . . . . . . . 279--303 Mark Giesbrecht and Joseph Haraldson and George Labahn Computing nearby non-trivial Smith forms 304--327
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Christian Eder and Tommy Hofmann Efficient Gröbner bases computation over principal ideal rings . . . . . . . . . 1--13 Gerhard Pfister and Andreas Steenpaß On the primary decomposition of some determinantal hyperedge ideal . . . . . 14--21 Olha Shkaravska and Marko van Eekelen Polynomial solutions of algebraic difference equations and homogeneous symmetric polynomials . . . . . . . . . 22--45 Yuki Nishida and Sennosuke Watanabe and Yoshihide Watanabe Combinatorial algorithm for the computation of cyclically standard regular bracket monomials . . . . . . . 46--65 Zhenyu Huang and Yao Sun (c) and Dongdai Lin On the efficiency of solving Boolean polynomial systems with the characteristic set method . . . . . . . 66--94 Taylor Brysiewicz Necklaces count polynomial parametric osculants . . . . . . . . . . . . . . . 95--107 David Krumm and Nicole Sutherland Galois groups over rational function fields and Explicit Hilbert Irreducibility . . . . . . . . . . . . . 108--126 Qing-Hu Hou and Yan-Ping Mu and Doron Zeilberger Polynomial reduction and supercongruences . . . . . . . . . . . . 127--140 Nasibeh Aramideh and Amir Hashemi and Werner M. Seiler Computing the resolution regularity of bi-homogeneous ideals . . . . . . . . . 141--156 Kathlén Kohn Coisotropic hypersurfaces in Grassmannians . . . . . . . . . . . . . 157--177 Alejandro Ginory and Jongwon Kim Weingarten calculus and the IntHaar package for integrals over compact matrix groups . . . . . . . . . . . . . 178--200 Ryuichi Sakamoto Lexicographic and reverse lexicographic quadratic Gröbner bases of cut ideals . . 201--212 Mehmet Yesil A generalization of the Katzman--Zhang algorithm . . . . . . . . . . . . . . . 213--233 Stephen Melczer and Bruno Salvy Effective coefficient asymptotics of multivariate rational functions via semi-numerical algorithms for polynomial systems . . . . . . . . . . . . . . . . 234--279 Sara Kalisnik and Davorin Lesnik Symmetric polynomials in upper-bound semirings . . . . . . . . . . . . . . . 280--299
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Heiko Dietrich and Willem A. de Graaf Computing the real Weyl group . . . . . 1--14 Papri Dey Definite determinantal representations via orthostochastic matrices . . . . . . 15--37 Thotsaporn ``Aek'' Thanatipanonda and Doron Zeilberger A multi-computational exploration of some games of pure chance . . . . . . . 38--68 Oleksandra Gasanova Powers of monomial ideals and the Ratliff--Rush operation . . . . . . . . 69--89 Gary McGuire and Daniela O'Hara On the termination of the general XL algorithm and ordinary multinomials . . 90--104 Cristian-Silviu Radu and Nicolas Allen Smoot A method of verifying partition congruences by symbolic computation . . 105--133 Maksim Vaskouski and Nikita Kondratyonok The Kronecker--Vahlen theorem fails in real quadratic norm-Euclidean fields . . 134--141 Benjamin Hollering and Seth Sullivant Identifiability in phylogenetics using algebraic matroids . . . . . . . . . . . 142--158 Erdal Imamoglu and Erich L. Kaltofen On computing the degree of a Chebyshev polynomial from its value . . . . . . . 159--167 Ranjana Mehta and Joydip Saha and Indranath Sengupta Moh's example of algebroid space curves 168--182 Arkadev Chattopadhyay and Bruno Grenet and Pascal Koiran and Natacha Portier and Yann Strozecki Computing the multilinear factors of lacunary polynomials without heights . . 183--206 Jinan Loubani The dimension of the moduli spaces of curves defined by topologically non quasi-homogeneous functions . . . . . . 207--235 Justin Chen and Sameera Vemulapalli and Leon Zhang Computing unit groups of curves . . . . 236--255 Jiang Liu and Feng Ni Distance invariant method for normalization of indexed differentials 256--275 Nicolas Allen Smoot On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm . . . 276--311 Rina Dong and Dongming Wang Computing strong regular characteristic pairs with Gröbner bases . . . . . . . . 312--327 Sajid Ali and Hassan Azad and Indranil Biswas and Willem A. de Graaf A constructive method for decomposing real representations . . . . . . . . . . 328--342 Yuhan Jiang and Weiqiao Han Singularities and genus of the $k$-ellipse . . . . . . . . . . . . . . 343--355 Kurt Girstmair Reducing radicals in the spirit of Euclid . . . . . . . . . . . . . . . . . 356--365 Matteo Gallet and Niels Lubbes and Josef Schicho and Jan Vrsek Reconstruction of rational ruled surfaces from their silhouettes . . . . 366--380 Tao Zheng A fast algorithm for computing multiplicative relations between the roots of a generic polynomial . . . . . 381--401 Kosaku Nagasaka Approximate square-free part and decomposition . . . . . . . . . . . . . 402--418 Derek Holt and Stephen Linton and Max Neunhöffer and Richard Parker and Markus Pfeiffer and Colva M. Roney-Dougal Polynomial-time proofs that groups are hyperbolic . . . . . . . . . . . . . . . 419--475 Christopher Doris Exact $p$-adic computation in Magma . . 476--493 Shaoshi Chen and Lixin Du and Rong-Hua Wang and Chaochao Zhu On the existence of telescopers for rational functions in three variables 494--522 Hoon Hong and Jing Yang A condition for multiplicity structure of univariate polynomials . . . . . . . 523--538 Lei Fu and Wei Li Unirational differential curves and differential rational parametrizations 539--562 M. D. Malykh and L. A. Sevastianov and Y. Yu On symbolic integration of algebraic functions . . . . . . . . . . . . . . . 563--579 Jan Draisma and Alejandro Vargas Catalan-many tropical morphisms to trees; Part I: Constructions . . . . . . 580--629 Michela Ceria Combinatorial decompositions for monomial ideals . . . . . . . . . . . . 630--652 Marta Casanellas and Jesús Fernández-Sánchez and Marina Garrote-López Distance to the stochastic part of phylogenetic varieties . . . . . . . . . 653--682 Oliver Clarke and Fatemeh Mohammadi Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux . . . . . . . . 683--723 Andrea Guidolin and Jose Divasón and Ana Romero and Francesco Vaccarino Computing invariants for multipersistence via spectral systems and effective homology . . . . . . . . . 724--753 Jon D. Hauenstein and Mohab Safey El Din and Éric Schost and Thi Xuan Vu Solving determinantal systems using homotopy techniques . . . . . . . . . . 754--804 Ashish Dwivedi and Rajat Mittal and Nitin Saxena Efficiently factoring polynomials modulo $ p^4 $ . . . . . . . . . . . . . . . . 805--823 Nicholas Coxon Fast transforms over finite fields of characteristic two . . . . . . . . . . . 824--854 Türkü Özlüm Çelik and Asgar Jamneshan and Guido Montúfar and Bernd Sturmfels and Lorenzo Venturello Wasserstein distance to independence models . . . . . . . . . . . . . . . . . 855--873 Markus Brodmann and Peter Schenzel Families of blowups of the real affine plane: Classification, isotopies and visualization . . . . . . . . . . . . . 874--898 Marijn J. H. Heule and Manuel Kauers and Martina Seidl New ways to multiply $ 3 \times 3$-matrices . . . . . . . . . . . . . . 899--916 Jane Ivy Coons and Seth Sullivant Quasi-independence models with rational maximum likelihood estimator . . . . . . 917--941 Didier Henrion and Simone Naldi and Mohab Safey El Din Exact algorithms for semidefinite programs with degenerate feasible set 942--959 Belén García and Jaume Llibre and Antón Lombardero and Jesús S. Pérez del Río Analytic integrability of quasi-homogeneous systems via the Yoshida method . . . . . . . . . . . . . 960--980
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Erich L. Kaltofen Foreword . . . . . . . . . . . . . . . . 1--3 Kosaku Nagasaka Toward the best algorithm for approximate GCD of univariate polynomials . . . . . . . . . . . . . . 4--27 Jiaxiong Hu and Michael Monagan A fast parallel sparse polynomial GCD algorithm . . . . . . . . . . . . . . . 28--63 Jaime Gutierrez and Jorge Jiménez Urroz On some classes of irreducible polynomials . . . . . . . . . . . . . . 64--70 Matías R. Bender and Jean-Charles Faug\`ere and Ludovic Perret and Elias Tsigaridas A nearly optimal algorithm to decompose binary forms . . . . . . . . . . . . . . 71--96 Robert H. C. Moir and Robert M. Corless and David J. Jeffrey An unwinding number pair for continuous expressions of integrals . . . . . . . . 97--117 Daniel Lichtblau Symbolic analysis of multiple steady states in a MAPK chemical reaction network . . . . . . . . . . . . . . . . 118--144 Ioannis Z. Emiris and Angelos Mantzaflaris and Elias P. Tsigaridas Multilinear polynomial systems: Root isolation and bit complexity . . . . . . 145--164 David Lucas and Vincent Neiger and Clément Pernet and Daniel S. Roche and Johan Rosenkilde Verification protocols with sub-linear communication for polynomial matrix operations . . . . . . . . . . . . . . . 165--198 Javad Doliskani and Anand Kumar Narayanan and Éric Schost Drinfeld modules with complex multiplication, Hasse invariants and factoring polynomials over finite fields 199--213 Joachim von zur Gathen and Mark Giesbrecht and Konstantin Ziegler Counting invariant subspaces and decompositions of additive polynomials 214--233
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Amir Hashemi and Joos Heintz and Luis M. Pardo and Pablo Solernó On Bézout inequalities for non-homogeneous polynomial ideals . . . 1--22 Alexander Maletzky A generic and executable formalization of signature-based Gröbner basis algorithms . . . . . . . . . . . . . . . 23--47 Marco Besier and Dino Festi Rationalizability of square roots . . . 48--67 Bettina Eick and Taleea Jalaeeyan Ghorbanzadeh Computing the Schur multipliers of the Lie $p$-rings in the family defined by a symbolic Lie $p$-ring presentation . . . 68--77 Besik Dundua and Temur Kutsia and Mircea Marin Variadic equational matching in associative and commutative theories . . 78--109
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Erick Rodriguez Bazan and Evelyne Hubert Multivariate interpolation: Preserving and exploiting symmetry . . . . . . . . 1--22 Sergei A. Abramov and Manuel Bronstein and Marko Petkovsek and Carsten Schneider On rational and hypergeometric solutions of linear ordinary difference equations in $ \Pi \Sigma^\ast $-field extensions 23--66 Elisabeth Gaar and Daniel Krenn and Susan Margulies and Angelika Wiegele Towards a computational proof of Vizing's conjecture using semidefinite programming and sums-of-squares . . . . 67--105 Philippe Moustrou and Cordian Riener and Hugues Verdure Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations . . . . . . . . . . . . . . . 106--121 Mark Giesbrecht and Hui Huang and George Labahn and Eugene Zima Efficient $q$-integer linear decomposition of multivariate polynomials . . . . . . . . . . . . . . 122--144 Jakob Ablinger and Ali Kemal Uncu \pkgqFunctions --- A Mathematica package for $q$-series and partition theory applications . . . . . . . . . . . . . . 145--166 Yunnan Li and Li Guo Construction of free differential algebras by extending Gröbner--Shirshov bases . . . . . . . . . . . . . . . . . 167--189 Katsusuke Nabeshima and Shinichi Tajima A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce--Roberts Milnor ideals . . . . . . . . . . . . . 190--208 M. Ansola and A. Díaz-Cano and M. A. Zurro Semialgebraic sets and real binary forms decompositions . . . . . . . . . . . . . 209--220 Victor Magron and Mohab Safey El Din On exact Reznick, Hilbert--Artin and Putinar's representations . . . . . . . 221--250 Qing-hu Hou and Guojie Li Log-concavity of $P$-recursive sequences 251--268 Guo-Shuai Mao Proof of a supercongruence via the Wilf--Zeilberger method . . . . . . . . 269--278 Chun-Ming Yuan and Zhi-Yong Zhang New bounds and an efficient algorithm for sparse difference resultants . . . . 279--298 Graham Ellis and Kelvin Killeen Cohomology with local coefficients and knotted manifolds . . . . . . . . . . . 299--321
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Mun See Chang and Christopher Jefferson Disjoint direct product decompositions of permutation groups . . . . . . . . . 1--16 Dominik Barth and Andreas Wenz On Elkies' method for bounding the transitivity degree of Galois groups . . 17--22 Heiko Dietrich and Bettina Eick and Xueyu Pan Groups whose orders factorise into at most four primes . . . . . . . . . . . . 23--40 Lydia Dehbi and Zhenbing Zeng and Lu Yang The number of tetrahedra sharing the same metric invariants via symbolic and numerical computations . . . . . . . . . 41--54 Michele Boreale and Luisa Collodi A linear-algebraic method to compute polynomial PDE conservation laws . . . . 55--72 John Edwards and Cameron Krome and Tracy L. Payne Computation of positively graded filiform nilpotent Lie algebras in low dimensions . . . . . . . . . . . . . . . 73--90 Dima Grigoriev Entropy of tropical holonomic sequences 91--97 Gavin Harrison and Jeremy Johnson and B. David Saunders Probabilistic analysis of block Wiedemann for leading invariant factors 98--116 Alexander Bors Computation of orders and cycle lengths of automorphisms of finite solvable groups . . . . . . . . . . . . . . . . . 117--136 José Cano and Sebastian Falkensteiner and J. Rafael Sendra Existence and convergence of Puiseux series solutions for autonomous first order differential equations . . . . . . 137--151
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Jérémy Berthomieu and Jean-Charles Faug\`ere Polynomial-division-based algorithms for computing linear recurrence relations 1--30 Joachim von zur Gathen and Guillermo Matera Shifted varieties and discrete neighborhoods around varieties . . . . . 31--49 Ernst W. Mayr and Werner M. Seiler and Evgenii V. Vorozhtsov Memories on Vladimir Gerdt . . . . . . . 50--56 Mark Giesbrecht and Hui Huang and George Labahn and Eugene Zima Efficient rational creative telescoping 57--87 Michael Clausen A unified FFT-based approach to maximum assignment problems related to transitive finite group actions . . . . 88--115 Euisung Park On surfaces of minimal degree in $ P_5 $ 116--123 Stefan Kahrs and Colin Runciman Simplifying regular expressions further 124--143 Marcin Bilski and Peter Scheiblechner Effective approximation of the solutions of algebraic equations . . . . . . . . . 144--176 Roberto La Scala and Sharwan K. Tiwari Stream/block ciphers, difference equations and algebraic attacks . . . . 177--198 Alessandra Bernardi and Carlos D'Andrea and Thorsten Theobald Foreword: Special issue of JSC on the occasion of MEGA 2019 . . . . . . . . . 199--201 Carlos Améndola and Viet Son Pham Autocovariance varieties of moving average random fields . . . . . . . . . 202--219 Elena Angelini and Cristiano Bocci and Luca Chiantini Catalecticant intersections and confinement of decompositions of forms 220--237 Edoardo Ballico and Alessandra Bernardi and Emanuele Ventura Strict inclusions of high rank loci . . 238--249 Mauro Carlo Beltrametti and Alessandro Logar and Maria Laura Torrente Quartic monoid surfaces with maximum number of lines . . . . . . . . . . . . 250--258 Anna Maria Bigatti and Lorenzo Robbiano Saturations of subalgebras, SAGBI bases, and $U$-invariants . . . . . . . . . . . 259--282 Janko Böhm and Wolfram Decker and Santiago Laplagne and Gerhard Pfister Computing integral bases via localization and Hensel lifting . . . . 283--324 F. J. Castro-Jiménez and H. Cobo Pablos On certain polynomial systems involving Stirling numbers of second kind . . . . 325--350 Diego Cifuentes and Kristian Ranestad and Bernd Sturmfels and Madeleine Weinstein Voronoi cells of varieties . . . . . . . 351--366 Timothy Duff and Nickolas Hein and Frank Sottile Certification for polynomial systems via square subsystems . . . . . . . . . . . 367--385 Elisa Gorla and Daniela Mueller and Christophe Petit Stronger bounds on the cost of computing Gröbner bases for HFE systems . . . . . . 386--398 Dima Grigoriev and Danylo Radchenko On a tropical version of the Jacobian conjecture . . . . . . . . . . . . . . . 399--403 Jacob Hartzer and Olivia Röhrig and Timo de Wolff and Oguzhan Yürük Initial steps in the classification of maximal mediated sets . . . . . . . . . 404--425 Gregor Kemper Computing quotients by connected solvable groups . . . . . . . . . . . . 426--440 Momonari Kudo Computing representation matrices for the action of Frobenius on cohomology groups . . . . . . . . . . . . . . . . . 441--464 Daniel Perrucci and Marie-Françoise Roy A new general formula for the Cauchy index on an interval with subresultants 465--481 Miruna-Stefana Sorea Measuring the local non-convexity of real algebraic curves . . . . . . . . . 482--509 Justyna Szpond Unexpected hypersurfaces with multiple fat points . . . . . . . . . . . . . . . 510--519
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Justin Chen and Marc Härkönen and Robert Krone and Anton Leykin Noetherian operators and primary decomposition . . . . . . . . . . . . . 1--23 Xavier Dahan Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one . . 24--65 Nicholas Coxon An in-place truncated Fourier transform 66--80
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Jérémy Berthomieu and Mohab Safey El Din Guessing Gröbner bases of structured ideals of relations of sequences . . . . 1--26 Yihui Liang Degree bounds for Gröbner bases of modules . . . . . . . . . . . . . . . . 27--43 Amir Hashemi and Hossein Parnian and Werner M. Seiler Computation of Macaulay constants and degree bounds for Gröbner bases . . . . . 44--60 Yang-Hui He and Kyu-Hwan Lee and Thomas Oliver Machine-learning the Sato--Tate conjecture . . . . . . . . . . . . . . . 61--72
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Elzbieta Adamus and Pawe\l Bogdan Algorithm for studying polynomial maps and reductions modulo prime number . . . 1--24 Huu Phuoc Le and Mohab Safey El Din Solving parametric systems of polynomial equations over the reals through Hermite matrices . . . . . . . . . . . . . . . . 25--61 S. C. Coutinho On the classification of foliations of degree three with one singularity . . . 62--78 Cashous Bortner and Seth Sullivant Structural identifiability of series-parallel LCR systems . . . . . . 79--104 Xiaolin Qin and Lige Zhang and Lu Yang and Sheng Cao Heuristics to sift extraneous factors in Dixon resultants . . . . . . . . . . . . 105--121 Thomas Dreyfus and Jacques-Arthur Weil Computing the Lie algebra of the differential Galois group: the reducible case . . . . . . . . . . . . . . . . . . 122--163 Giosu\`e Muratore and Csaba Schneider Effective computations of the Atiyah--Bott formula . . . . . . . . . . 164--181
Anonymous Editorial Board . . . . . . . . . . . . ii--ii Khalil Ghorbal and Andrew Sogokon Characterizing positively invariant sets: Inductive and topological methods 1--28 Federico Galetto Finite group characters on free resolutions . . . . . . . . . . . . . . 29--38 Ke-Xin Bian and Yue Liu and Yan-Ping Mu $q$-Gosper algorithm and simple Bailey pairs . . . . . . . . . . . . . . . . . 39--52 Ghazaleh Malekbala and Leila Musavizadeh Jazaeri and Leila Sharifan and Maryam Taha On the dynamics of semilattice networks 53--73 Mario Morán Cañón and Julien Sebag Two algorithms for computing the general component of jet scheme and applications 74--96 Dominik Bernhardt and Alice C. Niemeyer and Friedrich Rober and Lucas Wollenhaupt Conjugacy classes and centralisers in wreath products . . . . . . . . . . . . 97--125 Christian Bean and Antonio Bernini and Matteo Cervetti and Luca Ferrari On the generating functions of pattern-avoiding Motzkin paths . . . . . 126--138 David Rochera Algebraic equations for constant width curves and Zindler curves . . . . . . . 139--147 Yohann Genzmer Number of moduli for a union of smooth curves in $ (C_2, 0) $ . . . . . . . . . 148--170 Maciej Boche\'nski and Piotr Jastrz\kebski and Aleksy Tralle Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a computational approach . . . . . . . . . 171--180 Michael Orlitzky Rank computation in Euclidean Jordan algebras . . . . . . . . . . . . . . . . 181--192 Rima Khouja and Pierre-Alexandre Mattei and Bernard Mourrain Tensor decomposition for learning Gaussian mixtures from moments . . . . . 193--210 Clemens Hofstadler and Thibaut Verron Signature Gröbner bases, bases of syzygies and cofactor reconstruction in the free algebra . . . . . . . . . . . . 211--241 Christiane Görgen and Aida Maraj and Lisa Nicklasson Staged tree models with toric structure 242--268
Anonymous Editorial Board . . . . . . . . . . . . ii--ii José Cano and Sebastian Falkensteiner and Daniel Robertz and J. Rafael Sendra Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables 1--17 Christopher Jefferson and Rebecca Waldecker and Wilf A. Wilson Perfect refiners for permutation group backtracking algorithms . . . . . . . . 18--36 Reynaldo Staffolani Schur apolarity . . . . . . . . . . . . 37--73 Zahra Shahidi and Luca Sodomaco and Emanuele Ventura Degrees of Kalman varieties of tensors 74--98 Carlos D'Andrea and Kaie Kubjas and Fatemeh Mohammadi Special issue of JSC on the occasion of MEGA 2021 . . . . . . . . . . . . . . . 99--101 Charles Wang Towards cluster duality for Lagrangian and orthogonal Grassmannians . . . . . . 102--121 Daniel Miguel and Andrea Guidolin and Ana Romero and Julio Rubio Effective spectral systems relating Serre and Eilenberg--Moore spectral sequences . . . . . . . . . . . . . . . 122--148 Jin-San Cheng and Junyi Wen and Bingwei Zhang Certified numerical real root isolation for bivariate nonlinear systems . . . . 149--171 João Gouveia and Antonio Macchia and Amy Wiebe General non-realizability certificates for spheres with linear programming . . 172--192 Rida Ait El Manssour and Anna-Laura Sattelberger Combinatorial differential algebra of $ x^p $ . . . . . . . . . . . . . . . . . 193--208 Marie-Charlotte Brandenburg and Sophia Elia and Leon Zhang Multivariate volume, Ehrhart, and $ h^\ast $-polynomials of polytropes . . . 209--230 Ya-Lun Tsai Exploring circulations yielding no vortex equilibria . . . . . . . . . . . 231--245 Dávid Papp Duality of sum of nonnegative circuit polynomials and optimal SONC bounds . . 246--266 Z. Arvasi and A. Odabas and C. D. Wensley Computing $3$-dimensional groups: Crossed squares and cat $^2$-groups . . 267--281 Daniele Agostini and Claudia Fevola and Yelena Mandelshtam and Bernd Sturmfels KP solitons from tropical limits . . . . 282--301 Andreas Rosowski Fast commutative matrix algorithms . . . 302--321 Alessio Caminata and Elisa Gorla Solving degree, last fall degree, and related invariants . . . . . . . . . . . 322--335 Ronaldo Garcia and Jair Koiller and Dan Reznik Loci of $3$-periodics in an Elliptic Billiard: Why so many ellipses? . . . . 336--358 Qiao-Long Huang Sparse polynomial interpolation based on derivatives . . . . . . . . . . . . . . 359--375
Anonymous Pages 1--518 (March-April 2023) . . . . 1--518 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Tipaluck Krityakierne and Thotsaporn Aek Thanatipanonda The card guessing game: a generating function approach . . . . . . . . . . . 1--17 Tsz Yung Cheung Liouvillian solutions of Whittaker--Ince equation . . . . . . . . . . . . . . . . 18--38 Przemys\law Koprowski and Beata Rothkegel The anisotropic part of a quadratic form over a number field . . . . . . . . . . 39--52 Sebastian Falkensteiner and Cristhian Garay-López and Mercedes Haiech and Marc Paul Noordman and François Boulier and Zeinab Toghani On initials and the fundamental theorem of tropical partial differential algebraic geometry . . . . . . . . . . . 53--73 Guillaume Melquiond and Raphaël Rieu-Helft WhyMP, a formally verified arbitrary-precision integer library . . 74--95 Alin Bostan and Sergey Yurkevich Fast computation of the $N$-th term of a $q$-holonomic sequence and applications 96--123 Teresa Cortadellas Benítez and Carlos D'Andrea and M. Eul\`alia Montoro Bounds for degrees of syzygies of polynomials defining a grade two ideal 124--141 Josué Tonelli-Cueto and Elias Tsigaridas Condition numbers for the cube. I: Univariate polynomials and hypersurfaces 142--173 Erick Rodriguez Bazan and Evelyne Hubert Symmetry in multivariate ideal interpolation . . . . . . . . . . . . . 174--200 Viktor Levandovskyy and Tobias Metzlaff and Karim Abou Zeid Computing free non-commutative Gröbner bases over $Z$ with Singular:Letterplace 201--222 Angelos Mantzaflaris and Bernard Mourrain and Agnes Szanto A certified iterative method for isolated singular roots . . . . . . . . 223--247 Dingkang Wang and Hesong Wang and Jingjing Wei and Fanghui Xiao An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form . . . . . . . . . . . . . . . 248--265 Dong Lu and Dingkang Wang and Fanghui Xiao New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices . . . . 266--284 Jean-Guillaume Dumas and Clément Pernet and Alexandre Sedoglavic Some fast algorithms multiplying a matrix by its adjoint . . . . . . . . . 285--315 Dima Grigoriev Tropical Newton--Puiseux polynomials II 316--319 Jose Capco and Mohab Safey El Din and Josef Schicho Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics . . . . . . 320--345 Victor Magron and Jie Wang SONC optimization and exact nonnegativity certificates via second-order cone programming . . . . . 346--370 Mohammadali Asadi and Alexander Brandt and Robert H. C. Moir and Marc Moreno Maza and Yuzhen Xie Parallelization of triangular decompositions: Techniques and implementation . . . . . . . . . . . . . 371--406 Anton Leykin and Pierre Lairez Foreword . . . . . . . . . . . . . . . . 407--408 Edgar A. Bernal and Jonathan D. Hauenstein and Dhagash Mehta and Margaret H. Regan and Tingting Tang Machine learning the real discriminant locus . . . . . . . . . . . . . . . . . 409--426 Christina Katsamaki and Fabrice Rouillier and Elias Tsigaridas and Zafeirakis Zafeirakopoulos PTOPO: Computing the geometry and the topology of parametric curves . . . . . 427--451 Timothy Duff and Michael Ruddy Signatures of algebraic curves via numerical algebraic geometry . . . . . . 452--477 Yang-Hui He and Kyu-Hwan Lee and Thomas Oliver Machine learning invariants of arithmetic curves . . . . . . . . . . . 478--491 Bo Huang and Chee Yap An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited 492--517
Anonymous Pages 1--426 (May--June 2023) . . . . . 1--426 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Jiakang Bao and Yang-Hui He and Edward Hirst Neurons on amoebae . . . . . . . . . . . 1--38 Pratik Dongre and Benjamin Drabkin and Josiah Lim and Ethan Partida and Ethan Roy and Dylan Ruff and Alexandra Seceleanu and Tingting Tang Computing rational powers of monomial ideals . . . . . . . . . . . . . . . . . 39--57 Rong-Hua Wang and Michael X. X. Zhong $q$-Rational reduction and $q$-analogues of series for $ \pi $ . . . . . . . . . 58--71 Jesse Elliott and Mark Giesbrecht and Éric Schost Bit complexity for computing one point in each connected component of a smooth real algebraic set . . . . . . . . . . . 72--97 Pascal Giorgi and Bruno Grenet and Armelle Perret du Cray Polynomial modular product verification and its implications . . . . . . . . . . 98--129 Miklós Bóna and Jay Pantone Permutations avoiding sets of patterns with long monotone subsequences . . . . 130--138 Derek Holt and Yong Yang Regular orbits of finite primitive solvable groups, the final classification . . . . . . . . . . . . . 139--145 Stavros Birmpilis and George Labahn and Arne Storjohann A fast algorithm for computing the Smith normal form with multipliers for a nonsingular integer matrix . . . . . . . 146--182 Katherine Harris and Jonathan D. Hauenstein and Agnes Szanto Smooth points on semi-algebraic sets . . 183--212 Julia Q. D. Du and Dazhao Tang Proofs of five conjectures on matching coefficients of Baruah, Das and Schlosser by an algorithmic approach . . 213--242 Claus Fieker and Nicole Sutherland Computing splitting fields using Galois theory and other Galois constructions 243--262 Julian Vill Gram spectrahedra of ternary quartics 263--283 Taihei Oki Computing valuations of the Dieudonné determinants . . . . . . . . . . . . . . 284--323 Haokun Li and Bican Xia and Huiying Zhang and Tao Zheng Choosing better variable orderings for cylindrical algebraic decomposition via exploiting chordal structure . . . . . . 324--344 Eleonora Guerrini and Kamel Lairedj and Romain Lebreton and Ilaria Zappatore Simultaneous Rational Function Reconstruction with errors: Handling multiplicities and poles . . . . . . . . 345--364 Jean-Charles Faug\`ere and George Labahn and Mohab Safey El Din and Éric Schost and Thi Xuan Vu Computing critical points for invariant algebraic systems . . . . . . . . . . . 365--399 Antonio Jiménez-Pastor and Philipp Nuspl and Veronika Pillwein An extension of holonomic sequences: $ C^2 $-finite sequences . . . . . . . . . 400--424 Frédéric Chyzak and George Labahn Special issue on Symbolic and Algebraic Computation: ISSAC 2021 . . . . . . . . 425--426
Anonymous Pages 1--118 (July--August 2023) . . . . 1--118 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Amir Hashemi and H. Michael Möller A new algorithm for computing staggered linear bases . . . . . . . . . . . . . . 1--14 Antonio Jiménez-Pastor and Marko Petkovsek The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients 15--50 Frank Lübeck Standard generators of finite fields and their cyclic subgroups . . . . . . . . . 51--67 Elie Eid Efficient computation of Cantor's division polynomials of hyperelliptic curves over finite fields . . . . . . . 68--100 Tulay Ayyildiz Akoglu and Agnes Szanto Certified Hermite matrices from approximate roots . . . . . . . . . . . 101--118
Anonymous Pages 1--94 (September--October 2023) 1--94 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Dong Lu and Dingkang Wang and Fanghui Xiao and Xiaopeng Zheng Equivalence and reduction of bivariate polynomial matrices to their Smith forms 1--16 Diego Conti and Alessandro Ghigi and Roberto Pignatelli Topological types of actions on curves 17--31 Amir Hashemi and Matthias Orth and Werner M. Seiler Recursive structures in involutive bases theory . . . . . . . . . . . . . . . . . 32--68 Kexin Wang and Anna Seigal Lower bounds on the rank and symmetric rank of real tensors . . . . . . . . . . 69--92 Jonathan D. Hauenstein and Yang-Hui He and Ilias Kotsireas and Dhagash Mehta and Tingting Tang Special issue on Algebraic Geometry and Machine Learning . . . . . . . . . . . . 93--94
Anonymous Pages 1--144 (November--December 2023) 1--144 Anonymous Editorial Board . . . . . . . . . . . . ii--ii Christian Eder and Pierre Lairez and Rafael Mohr and Mohab Safey El Din A signature-based algorithm for computing the nondegenerate locus of a polynomial system . . . . . . . . . . . 1--21 Guoce Xin and Xinyu Xu and Chen Zhang and Yueming Zhong On magic distinct labellings of simple graphs . . . . . . . . . . . . . . . . . 22--37 Shayea Aldossari Computing pullback function of second order differential operators by using their semi-invariants . . . . . . . . . 38--49 Mikolás Janota and António Morgado and Petr Vojtechovský Computing generating sets of minimal size in finite algebras . . . . . . . . 50--63 Tianjie Zhang and Xing Gao and Li Guo Construction of free commutative Reynolds algebras by Gröbner--Shirshov bases . . . . . . . . . . . . . . . . . 64--80 Thomas Yahl Computing Galois groups of Fano problems 81--89 Khazhgali Kozhasov On eigenvalues of symmetric matrices with PSD principal submatrices . . . . . 90--100 Joydip Saha and Indranath Sengupta and Pranjal Srivastava Betti sequence of the projective closure of affine monomial curves . . . . . . . 101--111 Sebastian Debus and Cordian Riener Reflection groups and cones of sums of squares . . . . . . . . . . . . . . . . 112--144
Jiayue Qi A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero . . . . . . ?? Irem Portakal and Javier Sendra-Arranz Nash conditional independence curve . . ?? Yulia Alexandr and Serkan Hosten Logarithmic Voronoi cells for Gaussian models . . . . . . . . . . . . . . . . . ?? Julia Lindberg and Jose Israel Rodriguez Invariants of SDP exactness in quadratic programming . . . . . . . . . . . . . . ?? Martin Helmer and Elias Tsigaridas Segr\`e-driven radicality testing . . . ?? Elisa Gorla and Flavio Salizzoni MacWilliams' Extension Theorem for rank-metric codes . . . . . . . . . . . ?? Viachaslau I. Murashka Formations of finite groups in polynomial time: $F$-residuals and $F$-subnormality . . . . . . . . . . . . ?? Momonari Kudo and Shushi Harashita Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points . . . . . . . . . . . . ?? Juan Xu and Dongming Wang and Dong Lu Squarefree normal representation of zeros of zero-dimensional polynomial systems . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous May--June 2024 . . . . . . . . . . . . . ??
Evans Doe Ocansey and Carsten Schneider Representation of hypergeometric products of higher nesting depths in difference rings . . . . . . . . . . . . ?? Bernd Sturmfels and Simon Telen and François-Xavier Vialard and Max von Renesse Toric geometry of entropic regularization . . . . . . . . . . . . . ?? Ruben Becker and Michael Sagraloff Counting solutions of a polynomial system locally and exactly . . . . . . . ?? Elena Angelini A counterexample to a conjecture on simultaneous Waring identifiability . . ?? Dominik Bendle and Janko Böhm and Yue Ren and Benjamin Schröter Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians . . . . . . . ?? Alheydis Geiger and Marta Panizzut Computing tropical bitangents to smooth quartic curves in polymake . . . . . . . ?? Martin Bråtelund Critical configurations for two projective views, a new approach . . . . ?? Fatih Temiz and Irfan Siap On cyclic codes over $ \mathbb {Z}_q[u] / \langle u^2 \rangle $ and their enumeration . . . . . . . . . . . . . . ?? Tomasz Szemberg and Justyna Szpond Sextactic points on the Fermat cubic curve and arrangements of conics . . . . ?? Adrian Becedas and Kathlén Kohn and Lorenzo Venturello Voronoi diagrams of algebraic varieties under polyhedral norms . . . . . . . . . ?? Luca Sodomaco and Ettore Teixeira Turatti The span of singular tuples of a tensor beyond the boundary format . . . . . . . ?? Ilias Kotsireas and Toufik Mansour and Gökhan Yildirim An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences . . ?? Jinwang Liu and Dongmei Li and Tao Wu The Smith normal form and reduction of weakly linear matrices . . . . . . . . . ?? Marcel Morales and Nguyen Thi Dung A ``pseudo-polynomial'' algorithm for the Frobenius number and Gröbner basis ?? Rémi Prébet and Mohab Safey El Din and Éric Schost Computing roadmaps in unbounded smooth real algebraic sets I: Connectivity results . . . . . . . . . . . . . . . . ?? Zoltán Kovács and Christopher Brown and Tomás Recio and Róbert Vajda Computing with Tarski formulas and semi-algebraic sets in a web browser . . ?? Elisabeth Gaar and Melanie Siebenhofer Sum-of-squares certificates for Vizing's conjecture via determining Gröbner bases ?? Winfried Bruns and Aldo Conca Sagbi combinatorics of maximal minors and a Sagbi algorithm . . . . . . . . . ?? Claudia Fevola and Yelena Mandelshtam Hirota varieties and rational nodal curves . . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous January--February 2024 . . . . . . . . . ??
Francesca Cioffi and Davide Franco and Carmine Sessa An effective decomposition theorem for Schubert varieties . . . . . . . . . . . ?? Qiao-Long Huang and Ke Ye and Xiao-Shan Gao Skew-polynomial-sparse matrix multiplication . . . . . . . . . . . . . ?? Mareike Dressler and Marina Garrote-López and Guido Montúfar and Johannes Müller and Kemal Rose Algebraic optimization of sequential decision problems . . . . . . . . . . . ?? Rizeng Chen and Haokun Li and Bican Xia and Tianqi Zhao and Tao Zheng Isolating all the real roots of a mixed trigonometric-polynomial . . . . . . . . ?? Patience Ablett and Stephen Coughlan Deformations of half-canonical Gorenstein curves in codimension four ?? Moulay Barkatou and Thomas Cluzeau On the computation of rational solutions of linear integro-differential equations with polynomial coefficients . . . . . . ?? Maria M. Davis and Dávid Papp Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size . . . . . . . . . . . ?? Nancy Abdallah and Hal Schenck Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four . . . . . . . ?? Emil Horobet The critical curvature degree of an algebraic variety . . . . . . . . . . . ?? Tim Seynnaeve and Nafie Tairi Universal equations for maximal isotropic Grassmannians . . . . . . . . ?? M. J. Uray Algebraic number fields and the LLL algorithm . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous March--April 2024 . . . . . . . . . . . ??
Jiayue Qi A tree-based algorithm for the integration of monomials in the Chow ring of the moduli space of stable marked curves of genus zero . . . . . . ?? Irem Portakal and Javier Sendra-Arranz Nash conditional independence curve . . ?? Yulia Alexandr and Serkan Hosten Logarithmic Voronoi cells for Gaussian models . . . . . . . . . . . . . . . . . ?? Julia Lindberg and Jose Israel Rodriguez Invariants of SDP exactness in quadratic programming . . . . . . . . . . . . . . ?? Martin Helmer and Elias Tsigaridas Segre-driven radicality testing . . . . ?? Elisa Gorla and Flavio Salizzoni MacWilliams' Extension Theorem for rank-metric codes . . . . . . . . . . . ?? Viachaslau I. Murashka Formations of finite groups in polynomial time: $ \mathfrak {F} $-residuals and $ \mathfrak {F} $-subnormality . . . . . . . . . . . . . ?? Momonari Kudo and Shushi Harashita Representation of non-special curves of genus 5 as plane sextic curves and its application to finding curves with many rational points . . . . . . . . . . . . ?? Juan Xu and Dongming Wang and Dong Lu Squarefree normal representation of zeros of zero-dimensional polynomial systems . . . . . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous May--June 2024 . . . . . . . . . . . . . ??
Marc Härkönen and Lisa Nicklasson and Bogdan Raita Syzygies, constant rank, and beyond . . ?? Pierre Lairez Axioms for a theory of signature bases ?? Lynn Pickering and Tereso del Río Almajano and Matthew England and Kelly Cohen Explainable AI Insights for Symbolic Computation: a case study on selecting the variable ordering for cylindrical algebraic decomposition . . . . . . . . ?? Ke-Ming Chang and Kuo-Chang Chen Toward finiteness of central configurations for the planar six-body problem by symbolic computations. (I) Determine diagrams and orders . . . . . ?? Kisun Lee and Nan Li and Lihong Zhi Two-step Newton's method for deflation-one singular zeros of analytic systems . . . . . . . . . . . . . . . . ?? Rok Pozar Fast computation of the centralizer of a permutation group in the symmetric group ?? Jasper Nalbach and Erika Ábrahám and Philippe Specht and Christopher W. Brown and James H. Davenport and Matthew England Levelwise construction of a single cylindrical algebraic cell . . . . . . . ?? Mugurel Barcau and Vicentiu Pasol Computing primitive idempotents in finite commutative rings and applications . . . . . . . . . . . . . . ?? Clemens Heuberger and Daniel Krenn and Gabriel F. Lipnik A note on the relation between recognisable series and regular sequences, and their minimal linear representations . . . . . . . . . . . . ?? Andreas Pieper Theta nullvalues of supersingular Abelian varieties . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous July--August 2024 . . . . . . . . . . . ??
Martin Kreuzer and Florian Walsh Computing the binomial part of a polynomial ideal . . . . . . . . . . . . ?? Gemma De las Cuevas and Matt Hoogsteder Riera and Tim Netzer Tensor decompositions on simplicial complexes with invariance . . . . . . . ?? Qing-Hu Hou and Yarong Wei Rational solutions to the first order difference equations in the bivariate difference field . . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous September--October 2024 . . . . . . . . ??
Jin-San Cheng and Kai Jin and Marc Pouget and Junyi Wen and Bingwei Zhang An improved complexity bound for computing the topology of a real algebraic space curve . . . . . . . . . ?? Eleonore Faber and Colin Ingalls and Simon May and Marco Talarico Matrix factorizations of the discriminant of $ S_n $ . . . . . . . . ?? Antoine Leudi\`ere and Pierre-Jean Spaenlehauer Computing a group action from the class field theory of imaginary hyperelliptic function fields . . . . . . . . . . . . ?? Heiko Dietrich and Willem A. de Graaf A computational approach to almost-inner derivations . . . . . . . . . . . . . . ?? Juan Manuel Peña and Tomas Sauer Stabilized recovery and model reduction for multivariate exponential polynomials ?? Sayak Chakrabarti and Ashish Dwivedi and Nitin Saxena Solving polynomial systems over non-fields and applications to modular polynomial factoring . . . . . . . . . . ?? Nan Li and Zijia Li and Zhi-Hong Yang and Lihong Zhi The integral closure of a primary ideal is not always primary . . . . . . . . . ?? Allison McClure and Anne Shiu On the connectedness of multistationarity regions of small reaction networks . . . . . . . . . . . ?? Jonathan D. Hauenstein and Tingting Tang On parametric semidefinite programming with unknown boundaries . . . . . . . . ?? Clemens Hofstadler and Thibaut Verron Short proofs of ideal membership . . . . ?? Yujin Paek and Jinhyok Kim and Songryong Pak Positive definiteness of infinite and finite dimensional generalized Hilbert tensors and generalized Cauchy tensor ?? Thibaut Verron On the computation of Gröbner bases for matrix-weighted homogeneous systems . . ?? Bertrand Teguia Tabuguia Hypergeometric-type sequences . . . . . ?? Hadrien Brochet and Bruno Salvy Reduction-based creative telescoping for definite summation of $D$-finite functions . . . . . . . . . . . . . . . ?? Giosu\`e Muratore Computations of Gromov-Witten invariants of toric varieties . . . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous November--December 2024 . . . . . . . . ??
Barbara Betti and Marta Panizzut and Simon Telen Solving equations using Khovanskii bases ?? Shaoshi Chen and Lixin Du and Manuel Kauers and Rong-Hua Wang Reduction-based creative telescoping for $P$-recursive sequences via integral bases . . . . . . . . . . . . . . . . . ?? Mark van Hoeij Submodule approach to creative telescoping . . . . . . . . . . . . . . ?? Alberto Alzati and Daniele Di Tullio and Manoj Gyawali and Alfonso Tortora A post-quantum key exchange protocol from the intersection of conics . . . . ?? George Spahn and Doron Zeilberger Enumerating seating arrangements that obey social distancing . . . . . . . . . ?? Amir Hashemi and Mahshid Mirhashemi and Werner M. Seiler Machine learning parameter systems, Noether normalisations and quasi-stable positions . . . . . . . . . . . . . . . ?? Julia Q. D. Du The deviation on cranks of partitions ?? Shayea Aldossari Solving second order homogeneous differential equations in terms of Heun's general function . . . . . . . . ?? Bertrand Teguia Tabuguia Arithmetic of $D$-algebraic functions ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous January--February 2025 . . . . . . . . . ??
Ernest X. W. Xia and Zuo-Ru Zhang On the log-concavity of the $n$-th root of sequences . . . . . . . . . . . . . . ?? Sergei Abramov and Gleb Pogudin On the dimension of the solution space of linear difference equations over the ring of infinite sequences . . . . . . . ?? George E. Andrews and Peter Paule MacMahon's partition analysis XV: Parity ?? C. Koutschan and C. Krattenthaler and M. J. Schlosser Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations . . . . . . ?? Alexander Batkhin and Alexander Petrov Orthogonal-symplectic matrices and their parametric representation . . . . . . . ?? Alessandra Bernardi and Kristian Ranestad Corrigendum to ``On the cactus rank of cubics forms'' [J. Symb. Comput. \bf 50 (2013) 291--297] . . . . . . . . . . . . ?? Timur Sadykov Graceful bases in solution spaces of differential and difference equations ?? Eric Pichon-Pharabod A semi-numerical algorithm for the homology lattice and periods of complex elliptic surfaces over $ P^1 $ . . . . . ?? Sergey I. Senashov and Alexander Yakhno Dissimilar subalgebras of symmetry algebra of plasticity equations . . . . ?? Santiago Laplagne and Marcelo Valdettaro Strictly positive polynomials in the boundary of the SOS cone . . . . . . . . ?? Gilles Villard Bivariate polynomial reduction and elimination ideal over finite fields . . ?? Kosaku Nagasaka Approximate GCD of several multivariate sparse polynomials based on SLRA interpolation . . . . . . . . . . . . . ?? Tobias Metzlaff On symmetry adapted bases in trigonometric optimization . . . . . . . ?? Dong Lu and Dingkang Wang and Fanghui Xiao and Xiaopeng Zheng Signature-based standard basis algorithm under the framework of GVW algorithm . . ?? Balthazar Charles Computing character tables and Cartan matrices of finite monoids with fixed point counting . . . . . . . . . . . . . ?? Rémi Imbach and Guillaume Moroz Fast evaluation and root finding for polynomials with floating-point coefficients . . . . . . . . . . . . . . ?? Viktoriia Borovik and Paul Breiding A short proof for the parameter continuation theorem . . . . . . . . . . ?? Philippe Moustrou and Cordian Riener and Thorsten Theobald and Hugues Verdure Symmetric SAGE and SONC forms, exactness and quantitative gaps . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous March--April 2025 . . . . . . . . . . . ??
Jelle Piepenbrock and Josef Urban and Konstantin Korovin and Miroslav Ol\vsák and Tom Heskes and Mikolá\vs Janota Invariant neural architecture for learning term synthesis in instantiation proving . . . . . . . . . . . . . . . . ?? Edvard K. Holden and Konstantin Korovin Graph sequence learning for premise selection . . . . . . . . . . . . . . . ?? Rida Ait El Manssour and Anna-Laura Sattelberger and Bertrand Teguia Tabuguia $D$-algebraic functions . . . . . . . . ?? Weidong Wang and Jing Yang Subresultants of several univariate polynomials in Newton basis . . . . . . ?? Sebastian Falkensteiner and Alexey Ovchinnikov and J. Rafael Sendra Algorithm for globally identifiable reparametrizations of ODEs . . . . . . . ?? Alexey A. Kytmanov and Sergey P. Tsarev Asymptotics of solutions of special second-order linear recurrencies with polynomial coefficients and boundary effects of polynomial filters . . . . . ?? Yosef Berman and Joshua Forrest and Matthew Grote and Alexey Ovchinnikov and Sonia L. Rueda Symbolic-numeric algorithm for parameter estimation in discrete-time models with exp . . . . . . . . . . . . . . . . . . ?? Zijia Li and Hans-Peter Schröcker and Johannes Siegele A geometric algorithm for the factorization of rational motions in conformal three space . . . . . . . . . ?? Éric Schost and Catherine St-Pierre An $ \mathfrak {m} $-adic algorithm for bivariate Gröbner bases . . . . . . . . . ?? Niels Lubbes Self-intersections of surfaces that contain two circles through each point ?? Amir Hashemi and Deepak Kapur A new algorithm for Gröbner bases conversion . . . . . . . . . . . . . . . ?? Erik Parkinson and Kate Wall and Jane Slagle and Daniel Treuhaft and Xander de la Bruere and Samuel Goldrup and Timothy Keith and Peter Call and Tyler J. Jarvis Chebyshev subdivision and reduction methods for solving multivariable systems of equations . . . . . . . . . . 1--30 Sebastian Debus and Charu Goel and Salma Kuhlmann and Cordian Riener On nonnegative invariant quartics in type $A$ . . . . . . . . . . . . . . . . ?? Peter Paule and Carsten Schneider Creative telescoping for hypergeometric double sums . . . . . . . . . . . . . . ?? Jane Ivy Coons and Maize Curiel and Elizabeth Gross Mixed volumes of networks with binomial steady-states . . . . . . . . . . . . . ?? Viktoriia Borovik and Bernd Sturmfels and Svala Sverrisdóttir Coupled cluster degree of the Grassmannian . . . . . . . . . . . . . . ?? Gleb Pogudin Persistent components in Canny's generalized characteristic polynomial ?? Luis David García Puente and Elizabeth Gross and Heather A. Harrington and Matthew Johnston and Nicolette Meshkat and Mercedes Pérez Millán and Anne Shiu Absolute concentration robustness: Algebra and geometry . . . . . . . . . . ?? Renat Gontsov and Irina Goryuchkina On the existence and convergence of formal power series solutions of nonlinear Mahler equations . . . . . . . ?? Justin Chen and Marc Härkönen and Anton Leykin Local dual spaces and primary decomposition . . . . . . . . . . . . . ?? Miguel A. Marco-Buzunáriz and Ana Romero Computing the homology of universal covers via effective homology and discrete vector fields . . . . . . . . . ?? Anonymous Editorial Board . . . . . . . . . . . . ?? Anonymous May--June 2025 . . . . . . . . . . . . . ??