Last update:
Tue Mar 5 07:59:55 MST 2024
Editors 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
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
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
Anonymous January--February 2024 . . . . . . . . . ??
Anonymous Editorial Board . . . . . . . . . . . . Article 102245
Evans Doe Ocansey and
Carsten Schneider Representation of hypergeometric
products of higher nesting depths in
difference rings . . . . . . . . . . . . Article 102220
Bernd Sturmfels and
Simon Telen and
François-Xavier Vialard and
Max von Renesse Toric geometry of entropic
regularization . . . . . . . . . . . . . Article 102221
Ruben Becker and
Michael Sagraloff Counting solutions of a polynomial
system locally and exactly . . . . . . . Article 102222
Elena Angelini A counterexample to a conjecture on
simultaneous Waring identifiability . . Article 102223
Alheydis Geiger and
Marta Panizzut Computing tropical bitangents to smooth
quartic curves in polymake . . . . . . . Article 102225
Martin Bråtelund Critical configurations for two
projective views, a new approach . . . . Article 102226
Dominik Bendle and
Janko Böhm and
Yue Ren and
Benjamin Schröter Massively parallel computation of
tropical varieties, their positive part,
and tropical Grassmannians . . . . . . . Article 102224
Fatih Temiz and
Irfan Siap On cyclic codes over $ \mathbb {Z}_q[u]
/ \langle u^2 \rangle $ and their
enumeration . . . . . . . . . . . . . . Article 102227
Tomasz Szemberg and
Justyna Szpond Sextactic points on the Fermat cubic
curve and arrangements of conics . . . . Article 102228
Adrian Becedas and
Kathlén Kohn and
Lorenzo Venturello Voronoi diagrams of algebraic varieties
under polyhedral norms . . . . . . . . . Article 102229
Luca Sodomaco and
Ettore Teixeira Turatti The span of singular tuples of a tensor
beyond the boundary format . . . . . . . Article 102230
Ilias Kotsireas and
Toufik Mansour and
Gökhan Yildirim An algorithmic approach based on
generating trees for enumerating
pattern-avoiding inversion sequences . . Article 102231
Jinwang Liu and
Dongmei Li and
Tao Wu The Smith normal form and reduction of
weakly linear matrices . . . . . . . . . Article 102232
Rémi Prébet and
Mohab Safey El Din and
Éric Schost Computing roadmaps in unbounded smooth
real algebraic sets I: Connectivity
results . . . . . . . . . . . . . . . . Article 102234
Marcel Morales and
Nguyen Thi Dung A ``pseudo-polynomial'' algorithm for
the Frobenius number and Gröbner basis Article 102233
Zoltán Kovács and
Christopher Brown and
Tomás Recio and
Róbert Vajda Computing with Tarski formulas and
semi-algebraic sets in a web browser . . Article 102235
Elisabeth Gaar and
Melanie Siebenhofer Sum-of-squares certificates for Vizing's
conjecture via determining Gröbner bases Article 102236
Claudia Fevola and
Yelena Mandelshtam Hirota varieties and rational nodal
curves . . . . . . . . . . . . . . . . . Article 102239
Winfried Bruns and
Aldo Conca Sagbi combinatorics of maximal minors
and a Sagbi algorithm . . . . . . . . . Article 102237
Anonymous March--April 2024 . . . . . . . . . . . ??
Anonymous Editorial Board . . . . . . . . . . . . Article 102267
Francesca Cioffi and
Davide Franco and
Carmine Sessa An effective decomposition theorem for
Schubert varieties . . . . . . . . . . . Article 102238
Qiao-Long Huang and
Ke Ye and
Xiao-Shan Gao Skew-polynomial-sparse matrix
multiplication . . . . . . . . . . . . . Article 102240
Moulay Barkatou and
Thomas Cluzeau On the computation of rational solutions
of linear integro-differential equations
with polynomial coefficients . . . . . . Article 102252
Rizeng Chen and
Haokun Li and
Bican Xia and
Tianqi Zhao and
Tao Zheng Isolating all the real roots of a mixed
trigonometric-polynomial . . . . . . . . Article 102250
Patience Ablett and
Stephen Coughlan Deformations of half-canonical
Gorenstein curves in codimension four Article 102251
Mareike Dressler and
Marina Garrote-López and
Guido Montúfar and
Johannes Müller and
Kemal Rose Algebraic optimization of sequential
decision problems . . . . . . . . . . . Article 102241
Maria M. Davis and
Dávid Papp Rational dual certificates for weighted
sums-of-squares polynomials with
boundable bit size . . . . . . . . . . . Article 102254
Tim Seynnaeve and
Nafie Tairi Universal equations for maximal
isotropic Grassmannians . . . . . . . . Article 102260
Emil Horobet The critical curvature degree of an
algebraic variety . . . . . . . . . . . Article 102259
Nancy Abdallah and
Hal Schenck Free resolutions and Lefschetz
properties of some Artin Gorenstein
rings of codimension four . . . . . . . Article 102257
M. J. Uray Algebraic number fields and the LLL
algorithm . . . . . . . . . . . . . . . Article 102261
Anonymous May--June 2024 . . . . . . . . . . . . . ??
Anonymous Editorial Board . . . . . . . . . . . . Article 102282
Martin Helmer and
Elias Tsigaridas Segr\`e-driven radicality testing . . . Article 102262
Julia Lindberg and
Jose Israel Rodriguez Invariants of SDP exactness in quadratic
programming . . . . . . . . . . . . . . Article 102258
Yulia Alexandr and
Serkan Hosten Logarithmic Voronoi cells for Gaussian
models . . . . . . . . . . . . . . . . . Article 102256
Elisa Gorla and
Flavio Salizzoni MacWilliams' Extension Theorem for
rank-metric codes . . . . . . . . . . . Article 102263
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 . . . . . . Article 102253
Irem Portakal and
Javier Sendra-Arranz Nash conditional independence curve . . Article 102255
Viachaslau I. Murashka Formations of finite groups in
polynomial time: $F$-residuals and
$F$-subnormality . . . . . . . . . . . . Article 102271
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 . . . . . . . . . . . . Article 102272
Juan Xu and
Dongming Wang and
Dong Lu Squarefree normal representation of
zeros of zero-dimensional polynomial
systems . . . . . . . . . . . . . . . . Article 102273
Anonymous July--August 2024 . . . . . . . . . . . ??
Anonymous Editorial Board . . . . . . . . . . . . ??
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 . . . . . . . . ??
Marc Härkönen and
Lisa Nicklasson and
Bogdan Raita Syzygies, constant rank, and beyond . . ??
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 . . . . . . . . . . . . . . . . ??
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 . . . . . . . . . . . . . . ??
Rok Pozar Fast computation of the centralizer of a
permutation group in the symmetric group ??
Pierre Lairez Axioms for a theory of signature bases ??
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 September--October 2024 . . . . . . . . ??
Anonymous Editorial Board . . . . . . . . . . . . ??
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 . . . . . . . . . . . . ??