Entry VanderZanden:1996:IAS from toplas.bib
Last update: Tue May 1 02:05:46 MDT 2012
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BibTeX entry
@Article{VanderZanden:1996:IAS,
author = "Brad {Vander Zanden}",
title = "An incremental algorithm for satisfying hierarchies of
multiway dataflow constraints",
journal = j-TOPLAS,
volume = "18",
number = "1",
pages = "30--72",
month = jan,
year = "1996",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Tue Aug 13 11:46:35 MDT 1996",
bibsource = "http://www.acm.org/pubs/toc/;
http://www.math.utah.edu/pub/tex/bib/toplas.bib",
note = "See corrigendum \cite{VanderZanden:1996:CIA}.",
URL = "http://www.acm.org/pubs/toc/Abstracts/0164-0925/225543.html",
abstract = "One-way dataflow constraints have gained popularity in
many types of interactive systems because of their
simplicity, efficiency, and manageability. Although it
is widely acknowledged that multiway dataflow
constraint could make it easier to specify certain
relationships in these applications, concerns about
their predictability and efficiency have impeded their
acceptance. Constraint hierarchies have been developed
to address the predictability problem, and incremental
algorithms have been developed to address the
efficiency problem. However, existing incremental
algorithms for satisfying constraint hierarchies
encounter two difficulties: (1) they are incapable of
guaranteeing an acyclic solution if a constraint
hierarchy has one or more cyclic solutions and (2) they
require worst-case exponential time to satisfy systems
of multioutput constraints. This article surmounts
these difficulties by presenting an incremental
algorithm called QuickPlan that satisfies in worst-case
$O(N^2)$ time any hierarchy of multiway, multioutput
dataflow constraint that has at least one acyclic
solution, where $N$ is the number of constraints. With
benchmarks and real problems that can be solved
efficiently using existing algorithms, its performance
is competitive or superior. With benchmarks and real
problems that cannot be solved using existing
algorithms or that cannot be solved efficiently,
QuickPlan finds solutions and does so efficiently,
typically in $O(N)$ time or less. QuickPlan is based on
the strategy of propagation of degrees of freedom. The
only restriction it imposes is that every constraint
method must use all of the variables in the constraint
as either an input or an output variable. This
requirement is met in every constraint-based,
interactive application that we have developed or
seen.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Programming Languages and
Systems",
keywords = "algorithms; design; languages",
subject = "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and
Techniques, User interfaces. {\bf D.2.6}: Software,
SOFTWARE ENGINEERING, Programming Environments. {\bf
I.1.3}: Computing Methodologies, ALGEBRAIC
MANIPULATION, Languages and Systems, Evaluation
strategies. {\bf I.1.2}: Computing Methodologies,
ALGEBRAIC MANIPULATION, Algorithms, Nonalgebraic
algorithms.",
}
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28(3)389,
28(4)696,
28(4)747,
28(5)848,
28(5)942,
29(2)13,
29(5)29,
30(2)8,
30(5)25,
30(6)30,
30(6)33,
31(1)1,
31(1)4,
31(3)10,
31(3)12,
31(6)20,
31(6)21,
32(1)1,
32(1)2,
32(3)9,
33(1)4,
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6(4)527,
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32(4)15,
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4(1)113,
4(3)382,
4(3)455,
4(4)615,
6(4)527,
9(2)235,
9(3)408,
13(1)52,
13(1)124,
14(1)1,
14(3)396,
15(4)659,
15(4)681,
16(3)456,
16(3)524,
16(3)607,
16(3)687,
16(4)1081,
16(4)1117,
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16(6)1699,
16(6)1811,
17(1)63,
17(2)293,
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18(3)235,
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28(1)70,
28(4)715,
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31(3)10,
31(4)16,
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32(3)8,
32(3)9,
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32(5)16,
32(5)17,
32(6)22,
33(3)10
- based, constraint-,
21(2)370,
29(1)1
- because,
4(4)668,
4(4)687,
5(2)236,
9(3)408,
9(4)491,
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15(1)73,
15(4)632,
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16(3)328,
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16(3)649,
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29(6)35,
30(2)8,
30(3)12,
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28(5)848,
28(5)942,
29(1)2,
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30(4)20,
30(5)28,
30(6)32,
30(6)33,
31(6)20,
32(6)24,
33(1)3,
34(1)4,
34(1)5
- called,
4(2)149,
4(2)179,
4(4)585,
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4(4)687,
7(4)501,
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8(4)524,
9(2)277,
9(3)319,
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13(1)150,
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14(2)127,
14(2)201,
14(2)265,
16(1)151,
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17(1)63,
17(2)293,
17(4)635,
18(4)401,
18(6)730,
18(6)752,
19(6)853,
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20(1)166,
20(5)1014,
21(5)895,
21(5)1028,
22(1)87,
22(4)673,
22(4)701,
28(1)70,
28(2)290,
28(3)476,
28(5)795,
28(5)848,
28(5)942,
30(3)17,
30(4)23,
31(1)4,
31(4)16,
32(2)4,
32(3)8,
32(3)9,
32(4)15,
32(6)23,
34(1)2,
34(1)3,
34(1)4
- cannot,
4(3)382,
4(4)668,
13(1)124,
13(1)150,
13(2)237,
15(4)659,
16(4)1081,
16(4)1248,
16(5)1411,
16(5)1572,
20(2)302,
20(6)1223,
21(3)527,
21(5)914,
29(5)29,
33(4)13,
33(5)15,
34(1)2
- case, worst-,
16(3)775,
17(2)197,
17(2)228,
17(2)331,
17(3)487,
20(1)116,
20(3)635,
21(2)175,
23(2)105,
31(6)21,
32(4)13,
33(6)21
- certain,
4(4)615,
10(2)189,
16(6)1842,
17(4)576,
18(2)175,
19(4)568,
19(5)639,
20(1)1,
20(2)259,
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20(6)1297,
21(1)1,
21(4)790,
22(1)162,
22(2)187,
22(2)416,
23(2)105,
27(6)1270,
28(5)795,
30(2)8,
32(1)3,
32(5)16,
33(4)12
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20(6)1223,
22(4)673
- concern,
9(3)408,
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16(3)456,
16(3)577,
18(2)175,
20(1)1,
20(2)274,
21(5)895,
32(6)24
- constraint-based,
21(2)370,
21(6)1137,
29(1)1
- corrigendum,
1(1)84,
2(1)42,
2(1)134,
2(2)137,
2(2)191,
2(3)463,
3(1)110,
3(1)111,
10(4)602,
11(3)482,
13(4)633-1,
14(3)396,
15(1)208,
17(1)180,
18(3)354,
20(6)1265,
27(3)383
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4(4)650,
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13(1)52,
14(1)1,
17(3)487,
17(5)691,
18(3)300,
18(5)615,
20(3)635,
22(5)816
- cyclic,
10(1)156,
20(1)1
- D.2.2,
7(1)37,
7(2)214,
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7(3)446,
7(4)539,
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12(4)566,
12(4)670,
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14(1)54,
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15(1)36,
15(1)133,
15(5)876,
16(1)102,
16(1)151,
16(2)259,
16(3)727,
16(3)843,
16(4)1319,
16(4)1361,
16(5)1399,
16(5)1572,
18(3)254,
18(3)268,
18(5)564-1,
19(1)153,
19(3)427,
19(6)992,
19(6)1053,
21(4)813,
21(6)1077
- D.2.6,
7(1)37,
7(2)183,
7(2)334,
7(3)446,
7(4)539,
8(1)50,
8(3)273,
8(4)419,
8(4)491,
8(4)524,
8(4)547,
8(4)577,
9(2)164,
9(2)277,
9(3)297,
10(1)118,
10(2)248,
10(3)345,
10(4)627,
10(4)633,
11(2)169,
12(1)1,
12(2)143,
12(4)566,
12(4)670,
13(2)211,
14(1)1,
15(3)367,
16(1)102,
16(2)175,
16(3)387,
16(3)727,
16(4)1097,
16(5)1572,
16(6)1699,
17(1)1,
17(2)197,
17(2)394,
18(1)16,
18(4)355,
20(2)274,
20(5)980,
21(2)370,
21(6)1077,
21(6)1251
- dataflow,
15(1)133,
16(2)205,
17(2)331,
18(3)354,
18(5)564,
18(6)659,
19(4)557,
19(4)568,
19(5)804,
21(3)569,
21(5)948,
22(1)162,
22(4)638,
22(5)773,
23(6)776,
30(4)18,
30(4)21,
32(2)4,
32(2)5,
32(6)23,
33(1)3
- degree,
16(5)1431,
17(2)264,
17(2)331,
18(6)659,
21(1)138,
21(2)240,
27(6)1147
- developed,
4(1)1,
4(1)44,
4(2)149,
4(4)527,
4(4)650,
8(4)491,
8(4)547,
9(2)198,
9(4)491,
11(4)633,
13(2)269,
14(2)147,
14(2)173,
15(5)876,
16(1)3,
16(1)151,
16(2)205,
16(2)259,
16(3)305,
16(3)456,
16(4)1097,
16(5)1648,
17(2)233,
17(2)394,
18(1)16,
18(4)477,
19(4)557,
19(6)1031,
21(2)286,
21(2)370,
21(6)1196,
22(4)583,
27(6)1147,
29(2)13,
30(3)17,
31(1)1,
31(1)4,
32(1)3,
32(2)4,
32(4)14,
32(6)23,
33(3)10,
33(4)13
- difficulty,
19(3)413,
22(2)416,
29(5)29,
31(3)9,
32(1)2
- do,
9(2)164,
9(4)491,
14(2)201,
15(1)73,
16(3)687,
16(3)939,
16(4)1248,
16(5)1431,
17(1)28,
17(1)157,
17(3)461,
17(4)635,
18(2)175,
18(4)401,
18(6)659,
18(6)683,
18(6)730,
19(1)188,
19(5)804,
20(3)635,
20(4)768,
20(6)1297,
21(1)11,
22(3)490,
22(3)506,
28(1)1,
28(3)389,
28(4)715,
29(2)13,
29(6)35,
30(2)8,
31(1)1,
31(4)13,
32(3)8,
32(3)9,
32(5)18,
33(6)20
- easier,
13(1)52,
14(3)417,
18(3)254,
21(1)90,
27(6)1270,
31(2)6,
31(4)14,
32(1)2
- efficiency,
3(2)126,
4(4)650,
8(4)577,
9(2)164,
9(4)473,
11(4)598,
13(1)21,
13(1)52,
14(1)28,
16(3)687,
16(3)798,
16(3)1051,
16(4)1081,
16(6)1675,
17(1)28,
18(2)175,
18(5)528,
18(6)659,
19(1)153,
20(1)116,
20(6)1195,
20(6)1223,
21(1)1,
21(1)138,
21(3)627,
21(4)703,
21(4)848,
21(5)977,
21(6)1137,
22(2)296,
27(6)1097,
30(1)4,
30(5)28,
31(1)2,
32(6)21,
33(1)3,
34(1)3,
34(1)5
- efficiently,
4(2)258,
6(4)546,
9(3)319,
13(4)451,
14(2)265,
16(3)305,
16(3)524,
16(4)1097,
16(5)1399,
17(2)264,
17(3)461,
17(3)487,
19(1)153,
19(4)617,
20(1)208,
20(5)917,
22(4)673,
28(4)696,
31(3)12,
32(3)9
- either,
9(2)235,
11(4)633,
13(2)269,
14(1)28,
14(2)127,
15(4)632,
15(4)706,
16(3)798,
16(5)1467,
18(2)139,
19(4)557,
20(3)635,
20(6)1131,
21(1)90,
21(4)813,
22(5)816,
27(6)1344,
28(2)331,
30(4)23,
32(6)23,
33(5)15
- evaluation,
4(4)563,
6(2)159,
7(2)311,
8(1)109,
8(1)140,
8(4)577,
9(2)235,
9(3)408,
9(4)473,
10(2)248,
11(4)633,
12(3)429,
12(4)537,
12(4)670,
13(1)179,
13(3)315,
14(1)107,
14(2)147,
15(3)463,
16(1)35,
16(3)328,
16(5)1449,
17(1)123,
17(3)487,
17(4)561,
17(5)691,
18(1)16,
18(1)73,
18(6)730,
19(5)639,
19(6)992,
20(3)483,
20(4)768,
20(6)1223,
21(2)240,
22(2)224,
22(2)296,
22(3)431,
22(5)932,
22(6)1037,
26(1)191,
26(3)413,
27(4)732,
27(6)1147,
28(1)134,
28(2)256,
28(4)696,
28(4)715,
29(4)18,
31(1)3,
31(4)13,
32(1)3,
32(3)9,
33(4)12
- every,
4(2)295,
8(4)491,
11(4)633,
13(1)1,
15(4)575,
16(3)687,
16(5)1399,
17(3)431,
19(3)427,
19(5)639,
20(6)1171,
21(2)240,
21(6)1196,
27(6)1147,
28(1)70,
28(3)476,
29(5)29,
30(4)20,
31(2)8,
31(3)10,
31(5)19,
32(1)2
- existing,
4(2)125,
5(2)236,
9(4)491,
13(2)269,
15(5)771,
16(3)305,
16(3)798,
16(4)1215,
16(4)1248,
17(2)228,
17(2)366,
17(2)394,
17(3)431,
17(4)635,
18(2)175,
18(4)454,
18(4)477,
19(1)188,
19(3)492,
20(1)116,
20(2)274,
20(5)980,
21(2)324,
21(6)1196,
22(1)1,
28(2)331,
28(3)517,
28(5)795,
28(5)908,
30(2)8,
30(4)22,
32(1)2,
32(3)8,
32(4)13,
32(5)18,
33(3)10,
34(1)3
- exponential,
17(2)228,
20(1)51,
20(2)302,
20(3)635,
30(3)17
- find,
4(3)382,
14(4)589,
16(3)428,
16(3)607,
16(3)1024,
16(4)1248,
16(4)1319,
16(5)1399,
17(2)293,
18(4)424,
18(5)615,
18(6)659,
19(6)853,
19(6)1031,
20(3)483,
20(4)869,
20(6)1265,
21(4)703,
29(1)2,
31(3)9,
32(4)15,
32(6)23
- freedom,
12(4)643,
31(3)9
- gained,
13(1)150
- guaranteeing,
16(5)1399,
19(5)639,
20(1)208,
27(6)1147
- hierarchy,
5(3)405,
8(4)524,
10(2)204,
13(1)124,
16(4)1319,
16(4)1361,
16(6)1768,
16(6)1811,
18(3)354,
18(6)711,
21(4)813,
22(3)540,
28(2)331,
28(3)517,
28(5)942,
30(5)28,
30(6)33
- however,
4(1)44,
4(1)113,
4(3)382,
4(3)455,
4(4)650,
7(4)501,
8(4)491,
10(2)248,
13(2)237,
14(2)265,
15(4)681,
16(1)35,
16(3)387,
16(3)649,
16(4)1319,
16(5)1411,
16(5)1572,
17(1)28,
17(1)63,
17(2)197,
17(2)217,
17(2)331,
17(4)600,
18(1)73,
18(4)424,
18(4)477,
18(5)615,
19(3)444,
19(6)1031,
20(1)51,
20(1)208,
20(3)635,
20(6)1223,
21(1)11,
21(1)46,
21(2)240,
21(2)370,
21(3)677,
21(4)703,
21(4)747,
21(5)914,
22(1)162,
22(2)187,
23(2)105,
27(6)1147,
28(1)70,
30(3)12,
31(1)4,
32(1)2,
32(1)3,
32(3)9,
32(5)17,
33(1)2,
34(1)2
- I.1.2,
13(3)315,
13(4)451,
17(3)487,
19(3)462,
21(2)286,
21(3)627,
22(6)1002
- I.1.3,
10(1)118,
13(3)315,
14(2)147,
14(3)339,
17(2)366,
18(6)730,
19(3)427,
19(6)899
- impose,
9(2)164,
16(6)1675,
20(1)208,
21(3)677,
21(4)790,
28(5)848
- incremental,
1(1)58,
5(3)449,
7(4)501,
8(4)547,
8(4)577,
9(3)319,
10(1)1,
10(3)345,
11(2)169,
12(3)341,
13(1)1,
13(2)211,
13(3)315,
14(2)173,
14(3)339,
14(4)490,
16(3)1010,
16(5)1572,
17(1)1,
17(2)394,
18(1)16,
18(3)354,
19(2)239,
19(6)853,
20(3)546,
20(5)980,
22(2)187,
27(6)1097,
27(6)1216,
31(6)21,
32(1)3
- input,
3(3)224,
8(1)140,
13(1)150,
13(2)211,
14(3)339,
14(4)490,
15(4)632,
16(2)259,
16(3)1010,
16(3)1024,
16(4)1215,
16(6)1661,
17(3)487,
18(6)752,
19(3)462,
19(6)899,
20(1)1,
20(1)208,
20(2)259,
20(3)546,
20(4)707,
21(1)1,
21(6)1077,
22(2)224,
22(5)932,
28(3)389,
29(1)3,
29(6)33,
31(3)10,
31(6)20,
32(4)15,
33(4)14
- interactive,
4(3)382,
6(1)1,
7(4)600,
8(4)547,
8(4)577,
9(2)198,
12(2)143,
13(2)211,
14(1)1,
14(4)490,
16(3)1010,
16(5)1572,
16(6)1699,
17(1)1,
17(2)197,
18(4)355,
20(5)980,
20(6)1223,
21(5)895,
21(6)1077
- interface,
7(2)214,
8(3)273,
8(4)419,
8(4)524,
9(1)1,
9(2)164,
9(3)297,
10(2)215,
10(4)627,
10(4)633,
11(1)1,
12(2)143,
12(4)501,
12(4)566,
12(4)670,
14(2)201,
14(3)339,
14(4)471,
15(5)876,
16(1)151,
16(2)259,
16(3)370,
16(4)1361,
16(5)1572,
18(1)1,
19(1)153,
21(4)813,
21(6)1077,
28(2)207,
28(3)517,
30(4)18,
30(6)33,
31(3)12,
32(2)6,
33(4)12,
33(4)14
- least,
13(1)52,
15(4)575,
16(3)924,
16(3)1051,
21(2)370,
22(2)265,
22(4)638,
23(2)105,
33(3)11
- less,
13(1)1,
13(1)52,
14(3)417,
15(4)632,
16(3)524,
18(3)254,
18(6)752,
20(6)1265,
20(6)1297,
23(2)105,
27(6)1049,
30(1)4,
30(4)18
- make,
4(2)179,
4(3)382,
5(2)236,
5(3)405,
6(4)632,
8(4)491,
9(2)277,
9(3)319,
9(4)491,
10(2)189,
11(4)598,
12(4)643,
13(1)21,
15(4)632,
16(1)35,
16(2)205,
16(3)607,
16(3)798,
16(3)1010,
16(6)1768,
16(6)1811,
17(2)181,
18(2)175,
18(3)300,
18(6)730,
18(6)752,
19(3)444,
20(1)51,
20(2)274,
20(2)302,
20(4)869,
20(5)980,
20(5)1014,
21(1)46,
21(2)175,
21(3)502,
21(3)569,
21(4)790,
21(5)914,
22(2)378,
22(3)431,
22(4)701,
22(6)1037,
27(6)1049,
27(6)1097,
28(5)795,
28(5)908,
30(5)25,
30(5)29,
31(1)1,
31(3)9,
31(4)14,
31(5)19,
32(2)5,
32(4)11,
33(4)12,
34(1)3,
34(1)6
- MANIPULATION,
10(1)118,
13(3)315,
13(4)451,
14(2)147,
14(3)339,
14(4)574,
17(2)366,
17(3)487,
18(4)477,
18(6)730,
19(3)427,
19(3)462,
19(6)899
- many,
4(1)21,
4(1)44,
4(1)83,
4(3)455,
4(4)552,
4(4)563,
4(4)687,
7(2)183,
9(2)125,
9(2)235,
9(2)257,
9(3)319,
13(1)21,
13(1)124,
13(2)211,
14(1)1,
14(4)471,
14(4)490,
16(1)35,
16(2)175,
16(3)305,
16(3)387,
16(4)1248,
16(5)1399,
16(5)1411,
16(5)1431,
16(6)1737,
17(1)63,
17(2)181,
17(5)777,
18(1)73,
18(3)254,
18(3)300,
18(5)528,
18(5)615,
19(4)568,
20(1)51,
20(1)208,
20(3)635,
20(6)1111,
20(6)1131,
21(1)138,
21(2)324,
21(3)502,
21(3)527,
21(3)677,
21(4)703,
21(4)747,
22(2)187,
22(2)265,
27(6)1049,
27(6)1216,
27(6)1270,
28(1)70,
28(1)106,
28(2)207,
28(4)747,
30(2)8,
30(3)12,
30(4)18,
30(6)33,
30(6)34,
31(1)3,
31(2)6,
31(3)9,
31(6)20,
32(1)3,
32(5)19,
32(6)22,
33(3)10,
34(1)2,
34(1)3
- multiway,
9(3)350,
18(3)354,
22(5)932
- must,
4(3)382,
4(4)711,
6(2)159,
6(4)632,
14(3)339,
14(4)589,
16(1)3,
16(3)649,
16(3)1010,
16(4)1279,
16(5)1543,
16(6)1699,
17(1)63,
17(2)233,
17(2)331,
17(3)487,
17(5)691,
19(3)525,
20(3)635,
21(3)527,
22(2)187,
22(3)431,
27(6)1049,
28(1)106,
28(2)290,
30(4)22,
30(6)31,
31(3)9,
31(3)10,
31(5)19,
32(3)8,
33(4)14,
34(1)2,
34(1)4
- Nonalgebraic,
13(3)315
- one-way,
23(6)776
- only,
4(2)149,
4(3)382,
4(4)668,
4(4)687,
6(4)527,
7(1)62,
8(4)491,
9(2)235,
9(3)319,
9(4)473,
10(2)204,
13(1)1,
14(1)28,
14(3)299,
14(3)339,
14(3)417,
14(4)574,
15(1)73,
15(4)632,
15(5)745,
16(3)428,
16(3)649,
16(3)687,
16(3)939,
16(3)986,
16(3)1010,
16(5)1648,
17(1)63,
17(2)197,
17(3)431,
18(1)73,
18(4)355,
18(4)401,
18(4)424,
18(6)711,
18(6)752,
19(3)525,
19(6)1031,
19(6)1085,
20(1)51,
20(3)483,
20(3)546,
20(4)869,
20(6)1251,
20(6)1265,
21(3)502,
21(3)677,
21(6)1077,
22(1)1,
22(1)162,
22(2)224,
22(2)296,
22(3)471,
22(3)540,
22(4)638,
22(4)701,
27(6)1097,
27(6)1270,
28(1)106,
28(2)290,
28(2)331,
28(3)476,
28(5)795,
28(5)908,
29(5)29,
31(1)3,
31(1)4,
31(3)10,
31(3)12,
31(4)13,
31(4)15,
31(6)21,
32(1)3,
32(3)9,
32(4)15,
32(6)22,
33(1)4
- output,
2(2)234,
5(2)223,
13(2)211,
14(3)339,
16(2)259,
16(3)1010,
16(5)1648,
16(6)1661,
19(6)899,
20(1)1,
29(6)33,
32(4)15,
33(4)14
- predictability,
19(5)804,
21(5)1028,
32(4)13
- presenting,
4(1)1,
7(2)183,
20(2)436,
20(5)1014,
28(1)1,
32(1)3
- propagation,
8(1)109,
13(2)181,
17(2)181,
17(2)264,
17(2)394,
17(6)896,
18(1)16,
19(1)1,
19(5)639,
19(6)992,
20(4)768,
21(2)286,
21(6)1137,
22(5)932,
22(6)1002,
27(3)388,
31(1)2,
31(2)1,
32(1)3,
32(5)17
- real,
6(2)215,
7(3)404,
14(3)339,
16(5)1543,
17(2)197,
17(4)635,
18(3)325,
18(4)477,
19(3)525,
20(1)116,
20(6)1223,
20(6)1265,
21(1)46,
29(6)33,
30(6)32,
31(1)4,
32(3)9,
32(6)21,
33(3)11
- relationship,
9(3)319,
10(2)338,
16(4)1361,
16(6)1811,
17(2)331,
17(4)600,
20(1)208,
21(2)370,
22(3)540,
27(6)1216,
30(5)29,
30(6)32,
33(3)9
- require,
4(2)226,
4(4)601,
4(4)711,
4(4)758,
6(2)159,
9(2)235,
9(3)319,
9(3)408,
10(2)189,
14(4)574,
15(1)73,
16(1)3,
16(3)428,
16(3)939,
16(6)1768,
17(1)28,
17(1)85,
17(2)181,
17(2)394,
17(3)461,
17(4)600,
17(4)672,
18(3)254,
18(6)730,
18(6)752,
19(4)557,
19(6)1031,
20(1)51,
20(3)635,
20(4)869,
20(6)1171,
20(6)1223,
21(1)90,
21(1)138,
21(2)240,
21(4)703,
22(2)187,
22(2)224,
22(3)471,
22(4)638,
22(5)773,
28(1)1,
28(2)207,
28(3)476,
28(4)715,
30(4)18,
30(5)28,
31(5)17,
31(6)22,
32(1)3,
32(3)8,
32(4)12,
33(6)20
- requirement,
7(1)159,
8(4)577,
16(1)151,
18(6)730,
19(6)899,
19(6)992,
20(1)116,
20(2)274,
20(6)1171,
21(1)138,
28(5)848,
30(4)23,
30(6)33,
31(1)3,
32(3)9,
33(5)15,
34(1)5
- restriction,
13(1)52,
19(5)639,
20(6)1171,
21(4)790,
22(4)673,
28(3)429
- satisfy,
15(1)182,
15(5)876,
19(5)804,
19(6)1031,
20(1)116,
20(2)274,
20(6)1171,
21(6)1196,
33(4)13
- satisfying,
16(1)3,
18(3)354
- see,
1(1)84,
2(1)42,
2(1)134,
2(2)137,
2(2)191,
2(3)359,
2(3)463,
3(1)1,
3(1)83,
3(1)110,
3(1)111,
3(1)112,
3(1)112,
4(1)21,
4(1)120,
4(1)122,
4(2)179,
4(3)323,
5(1)122,
5(1)122-1,
5(3)499,
5(3)499,
5(3)500,
6(3)432,
6(4)487,
6(4)603,
7(3)490,
8(3)406,
9(3)390,
10(2)204,
10(3)503,
10(4)602,
10(4)627,
10(4)633,
10(4)635,
11(3)482,
11(4)650,
11(4)666,
12(1)135,
12(4)670,
13(1)179,
13(3)399,
13(4)626,
13(4)630,
13(4)631,
13(4)633,
13(4)633-1,
14(2)265,
14(3)396,
15(1)206,
15(1)208,
15(2)357,
17(1)180,
17(4)672,
18(3)354,
20(6)1265,
21(1)1,
21(3)569,
27(3)383,
31(1)2,
31(2)1,
32(6)23
- seen,
4(2)283,
4(4)687,
13(1)21,
16(3)798,
20(4)707,
21(6)1077,
30(6)31,
31(4)16,
31(5)19
- simplicity,
16(3)798,
16(4)1361,
30(1)4,
33(1)2,
34(1)3
- solution,
4(1)83,
4(2)258,
4(3)382,
4(4)585,
4(4)601,
5(1)56,
9(2)257,
9(2)277,
10(4)635,
11(4)598,
11(4)666,
14(1)28,
14(2)147,
14(4)521,
15(4)735,
16(3)798,
16(3)939,
16(3)954,
16(4)1097,
16(4)1279,
16(4)1319,
16(5)1399,
16(5)1449,
16(5)1472,
16(5)1543,
16(5)1613,
17(2)293,
17(3)487,
17(3)535,
17(5)777,
18(2)139,
18(4)477,
19(1)48,
19(3)444,
20(1)51,
20(4)869,
20(5)1014,
20(5)1067,
21(3)627,
21(3)677,
21(4)703,
21(4)813,
21(6)1251,
22(3)471,
27(6)1147,
27(6)1270,
28(3)429,
28(3)517,
28(5)848,
30(3)12,
30(4)19,
30(4)22,
30(4)23,
32(4)11,
32(4)14,
33(3)9,
33(3)11,
33(4)12,
34(1)2,
34(1)3
- solved,
13(1)52,
19(1)1,
20(4)869,
20(6)1171,
20(6)1195,
27(6)1147,
27(6)1270,
28(4)747,
34(1)3
- specify,
9(2)235,
9(4)491,
10(2)189,
13(1)52,
14(3)339,
14(4)490,
16(1)151,
16(3)649,
16(3)872,
17(3)448,
17(3)507,
17(5)691,
18(6)730,
20(5)1067,
21(3)430,
21(4)790,
21(6)1077,
22(4)583,
22(4)701,
28(1)106,
30(4)24,
31(4)14,
32(3)7,
32(6)22,
34(1)2
- strategy,
2(1)18,
6(4)487,
6(4)603,
7(1)62,
7(3)490,
8(3)406,
10(4)555,
11(3)388,
13(3)315,
14(1)1,
14(2)147,
14(2)265,
15(4)659,
16(3)1010,
16(4)1215,
16(6)1768,
18(4)424,
18(4)454,
18(5)528,
18(5)615,
18(6)730,
20(1)208,
20(2)344,
20(4)707,
21(2)240,
21(3)430,
22(4)638,
28(3)389,
28(3)517,
28(5)908,
30(4)23,
31(2)7,
31(3)12,
31(4)14,
33(1)2,
33(1)3,
33(3)11
- superior,
14(2)127,
21(2)324,
29(1)3
- typically,
15(5)745,
16(4)1248,
18(3)235,
18(4)424,
20(1)166,
20(2)302,
21(1)90,
21(1)138,
21(2)370,
27(6)1049,
30(5)29,
32(4)13,
34(1)1,
34(1)2
- user,
4(1)1,
4(4)585,
4(4)711,
5(3)405,
5(4)513,
6(1)1,
7(2)183,
8(4)419,
8(4)524,
9(2)164,
9(2)277,
10(2)215,
12(2)143,
12(4)566,
14(1)54,
14(4)471,
16(3)387,
16(3)456,
16(3)727,
16(3)1024,
16(4)1248,
19(1)153,
19(3)492,
20(4)869,
21(1)138,
21(2)240,
21(4)790,
21(6)1077,
28(2)207,
28(3)517,
29(1)2,
32(2)4,
32(3)8
- Vander Zanden, Brad,
18(3)354
- VanderZanden:1996:CIA,
18(3)354
- VanderZanden:1996:IAS,
18(3)354
- where,
4(3)382,
4(4)527,
7(1)62,
8(4)419,
9(2)164,
9(3)367,
10(2)189,
11(4)633,
13(2)237,
14(2)201,
15(4)659,
16(2)259,
16(3)387,
16(3)775,
16(3)954,
16(4)1117,
16(4)1319,
16(6)1699,
16(6)1842,
16(6)1875,
17(1)123,
17(1)157,
17(2)264,
17(3)487,
17(4)600,
19(3)462,
20(3)679,
20(5)1067,
20(6)1223,
20(6)1251,
20(6)1297,
21(1)11,
21(3)527,
21(4)703,
21(4)813,
21(5)895,
21(5)1028,
21(6)1077,
21(6)1196,
22(1)129,
22(2)378,
22(4)701,
22(5)816,
27(6)1147,
27(6)1270,
27(6)1344,
28(2)256,
30(1)4,
30(4)23,
31(3)9,
31(3)11,
31(3)12,
31(4)14,
31(4)15,
31(4)16,
31(6)20,
32(1)2,
32(2)6,
32(4)13,
33(5)15,
33(6)21,
34(1)3
- widely,
16(3)370,
17(2)331,
18(6)752,
19(3)413,
19(6)916,
21(1)11,
21(3)502,
22(4)673,
27(6)1344,
28(5)908,
34(1)2,
34(1)3
- worst-case,
16(3)775,
17(2)197,
17(2)228,
17(2)331,
17(3)487,
20(1)116,
20(3)635,
21(2)175,
23(2)105,
31(6)21,
32(4)13,
33(6)21
- Zanden, Brad, Vander,
18(3)354