Entry Reps:2000:UCS from toplas.bib
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BibTeX entry
@Article{Reps:2000:UCS,
author = "Thomas Reps",
title = "Undecidability of context-sensitive data-independence
analysis",
journal = j-TOPLAS,
volume = "22",
number = "1",
pages = "162--186",
month = jan,
year = "2000",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Tue Sep 26 10:12:58 MDT 2000",
bibsource = "http://www.acm.org/pubs/contents/journals/toplas/;
http://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "http://www.acm.org/pubs/citations/journals/toplas/2000-22-1/p162-reps/",
abstract = "A number of program-analysis problems can be tackled
by transforming them into certain kinds of
graph-reachability problems in labeled graphs. The edge
labels can be used to filter out paths that are not
interest: a path $P$ from vertex $t$ only counts as a
``valid connection'' between $s$ and $t$ if the word
spelled out by $P$ is in a certain language. Often the
languages used for such filtering purposes are
languages of matching parentheses. In some cases, the
matched-parenthesis condition is used for paths with
mismatched calls and returns. This leads to so-called
``context-{\em sensitive\/}'' program analyses, such as
context-{\em sensitive\/} interprocedural slicing and
context-{\em sensitive\/} interprocedural dataflow
analysis. In other cases, the matched-parenthesis
condition is used to capture a graph-theoretic analog
of McCarthy's rules: ``car (cons(x,y)) = x'' and
``cdr(cons(x,y)) =y''. That is, in the code
fragment\par
c = cons(a,b); d = car(c);\par
\noindent the fact that there is a
``structure-transmitted data-dependence'' from a to d,
but not from b to d, is captured in a graph by (1)
using a vertex for each variable, (2) an edge from
vertex $i$ to vertex $j$ when $i$ is used on the
right-hand side of an assignment to {\em j}, (3)
parentheses that match as the labels on the edges that
run from a to c and c to d, and (4) parentheses that do
not match as the labels on the edges that run from a to
c and c to d. However, structure-transmitted
data-independence analysis is context-{\em
insensitive}, because there are no constraints that
these two kinds of uses of parentheses can be combined
to create a context-{\em sensitive\/} analysis for
structure-transmitted data-dependences. This article
answers the question in the negative: in general, the
problem of context {\em sensitive},
structure-transmitted data-dependence analysis is
undecidable. The results imply that in general, both
context-{\em sensitive\/} set-based analysis and -CFA
(when data constructors and selectors and selectors are
taken into account) are also undecidable.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Programming Languages and
Systems",
subject = "Software --- Programming Languages --- Processors
(D.3.4): {\bf Compilers}; Software --- Programming
Languages --- Processors (D.3.4): {\bf Optimization};
Theory of Computation --- Mathematical Logic and Formal
Languages --- Mathematical Logic (F.4.1): {\bf
Computability theory}; Theory of Computation ---
Mathematical Logic and Formal Languages --- Formal
Languages (F.4.3): {\bf Decision problems}; Mathematics
of Computing --- Discrete Mathematics --- Graph Theory
(G.2.2): {\bf Path and circuit problems}",
}
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30(2)8,
30(3)12,
30(4)18,
30(4)21,
32(5)17,
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34(1)5
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2(4)564,
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32(4)13,
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16(6)1842,
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18(1)30,
18(2)175,
19(4)568,
19(5)639,
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32(2)5,
32(4)13,
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33(5)16,
34(1)1,
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16(5)1472,
17(5)777,
19(3)462,
19(4)557,
21(2)240,
22(3)431,
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31(5)17,
32(6)23
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7(2)270,
7(2)299,
8(2)244,
8(3)406,
9(1)100,
9(4)618,
11(1)67,
11(3)418,
11(3)451,
11(4)633,
11(4)650,
12(1)123,
13(1)99,
13(4)577,
14(1)54,
14(2)147,
14(3)396,
14(4)521,
14(4)589,
15(1)206,
15(2)211,
15(2)253,
15(2)290,
15(3)535,
15(4)575,
15(4)706,
16(3)493,
16(3)605,
16(3)607,
16(3)687,
16(4)1081,
16(4)1361,
16(5)1467,
17(6)844,
18(3)235,
18(6)730,
19(1)1,
19(2)386,
19(6)899,
19(6)916,
20(1)208,
20(2)344,
20(3)586,
20(5)1067,
21(3)677,
22(2)416,
22(5)861
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8(2)264,
10(3)374,
11(4)562,
15(4)575,
16(3)1051,
16(5)1467,
16(5)1613,
17(1)47,
17(4)576,
19(1)1
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4(2)283,
14(1)107,
15(5)795,
17(2)181,
17(2)233,
19(4)568,
19(6)992,
21(4)703,
28(4)747,
31(3)12,
31(6)21,
33(3)9
- filter,
31(5)19
- filtering,
16(4)1279,
19(3)462
- fragment,
8(4)547,
17(2)264,
19(3)525,
20(2)436,
22(1)129,
22(2)378,
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7(2)348,
7(4)680,
9(1)25,
11(4)562,
12(1)26,
12(1)84,
12(1)102,
12(1)123,
12(2)203,
12(3)341,
13(3)372,
14(4)574,
17(1)123,
17(3)487,
18(3)235,
18(3)300,
20(6)1195,
20(6)1265,
21(2)175
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4(2)179
- 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)30,
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(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
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4(2)149,
14(4)589,
15(5)771,
16(5)1449,
31(3)10
- insensitive,
19(1)1
- interest,
9(2)257,
9(4)491,
15(4)632,
16(3)607,
19(6)992,
21(5)895,
28(2)256,
30(4)19,
30(5)26,
33(4)13
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8(4)491,
11(1)1,
12(1)26,
12(3)341,
13(2)181,
15(3)367,
16(2)175,
19(4)568,
19(6)992,
21(4)848,
22(2)378,
23(2)105,
27(4)662,
28(6)1088,
29(4)19,
29(5)29,
29(6)38,
32(2)5,
32(6)23,
33(1)3,
33(6)21
- kind,
4(1)44,
13(1)52,
13(1)99,
13(2)181,
14(2)265,
16(4)1248,
17(2)197,
17(2)293,
19(4)557,
20(3)546,
21(1)1,
21(1)11,
21(1)90,
27(6)1270,
28(3)517,
30(5)27,
32(3)8,
32(5)19
- label,
16(2)259,
26(5)805,
28(5)942
- labeled,
16(2)259,
19(1)48
- lead,
4(2)179,
7(1)159,
7(4)501,
15(1)133,
16(3)687,
17(1)157,
17(2)181,
18(3)254,
20(2)302,
21(1)1,
21(3)502,
21(5)948,
22(2)265,
22(3)540,
27(3)388,
31(5)17,
31(6)21,
32(4)14,
32(5)18
- match,
19(1)48,
19(3)413,
22(2)224,
28(3)389,
30(4)22,
32(1)2
- matching,
11(4)491,
14(4)574,
17(2)394,
18(4)401,
18(5)528,
18(6)752,
20(2)259,
22(6)973,
28(3)389,
28(4)696,
29(1)3,
30(4)18,
30(5)25,
31(2)7
- mathematical,
4(1)83,
4(2)283,
4(3)362,
7(2)270,
7(2)299,
8(2)244,
8(3)406,
9(1)100,
9(4)618,
10(1)87,
11(1)67,
11(3)418,
11(3)451,
11(4)633,
11(4)650,
12(1)123,
13(1)99,
13(4)577,
14(1)54,
14(2)127,
14(2)147,
14(3)396,
14(4)521,
14(4)589,
15(1)206,
15(2)211,
15(2)253,
15(2)290,
15(3)535,
15(4)575,
15(4)706,
15(5)771,
16(3)493,
16(3)605,
16(3)607,
16(3)687,
16(4)1081,
16(4)1361,
16(5)1467,
17(6)844,
18(3)235,
18(6)730,
19(1)1,
19(2)386,
19(6)899,
19(6)916,
20(1)208,
20(2)344,
20(3)586,
20(5)1067,
20(6)1171,
20(6)1223,
21(3)677,
21(4)703,
21(6)1077,
22(2)224,
22(2)416,
22(5)861,
28(4)747,
29(6)35,
33(3)10,
33(4)13
- mathematics,
7(2)348,
7(4)680,
9(1)25,
10(2)313,
11(4)562,
12(1)26,
12(1)84,
12(1)102,
12(1)123,
12(2)203,
12(3)341,
13(3)372,
14(2)127,
14(2)265,
14(3)339,
14(4)574,
16(3)798,
17(1)123,
17(3)487,
18(2)139,
18(3)235,
18(3)300,
18(3)325,
18(4)477,
20(4)869,
20(6)1195,
20(6)1265,
21(2)175,
21(3)417,
21(3)677,
28(4)747,
32(4)14
- McCarthy,
10(2)248
- negative,
22(5)861,
32(6)21
- often,
13(1)52,
13(2)237,
16(4)1248,
16(5)1648,
16(6)1768,
17(1)16,
17(1)28,
18(4)355,
19(3)525,
19(4)557,
20(2)302,
20(6)1171,
21(1)46,
21(2)240,
21(4)703,
21(5)1028,
21(6)1137,
22(1)129,
22(6)1037,
27(6)1270,
28(1)134,
28(3)476,
28(4)715,
28(4)747,
30(2)8,
30(3)12,
30(4)18,
30(6)31,
31(5)17,
34(1)2
- 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)30,
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(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
- path,
15(4)659,
16(3)328,
17(4)600,
19(4)617,
19(6)853,
20(6)1265,
21(2)240,
21(5)1028,
22(3)490,
22(6)1002,
28(1)70,
30(2)8
- purpose,
7(4)560,
8(4)419,
13(1)150,
14(2)147,
16(1)1,
16(5)1613,
20(5)1014,
21(2)240,
21(3)502
- question,
4(4)668,
4(4)711,
7(2)183,
13(2)269,
15(4)575,
16(6)1675,
16(6)1699,
16(6)1768,
17(1)47,
17(2)181,
19(5)804,
20(3)635,
21(1)46,
34(1)6
- Reps, Thomas,
5(3)449,
8(4)417,
9(3)408,
11(3)345,
12(1)26,
20(1)1,
20(2)259,
24(3)217,
27(4)786,
32(2)5,
32(6)23,
32(6)24
- return,
14(4)471,
16(2)175,
19(4)568,
21(2)240,
22(1)129,
33(1)4
- right-hand,
4(2)179
- rule,
2(4)564,
4(1)113,
4(4)650,
6(3)402,
6(4)632,
7(2)183,
11(4)491,
12(4)643,
13(1)21,
15(1)73,
15(4)575,
16(4)1215,
17(1)16,
17(3)431,
18(2)109,
18(6)730,
19(3)413,
19(5)639,
19(6)992,
20(3)679,
20(4)724,
20(5)917,
20(6)1171,
21(1)90,
22(1)45,
22(1)129,
24(1)51,
27(6)1216,
28(2)256,
28(4)577,
28(5)795,
30(2)8,
30(4)19,
31(1)1,
31(2)8,
31(3)11,
31(6)21,
32(2)4,
33(5)17
- run,
7(4)501,
9(2)235,
13(2)237,
14(1)1,
14(2)147,
14(2)265,
15(5)771,
16(1)151,
16(3)305,
16(3)954,
16(5)1431,
17(2)233,
17(5)740,
19(4)557,
20(4)869,
20(6)1265,
21(2)175,
21(2)240,
21(2)324,
21(6)1196,
22(3)490,
27(6)1049,
27(6)1097,
28(4)577,
29(5)29,
30(2)8,
30(6)30,
30(6)32,
31(1)5,
32(3)8,
32(4)15,
32(6)24
- sensitive,
19(1)188
- sensitive, context-,
19(4)568,
20(4)707,
22(2)416,
30(4)19,
32(2)5,
32(6)23
- set-based,
21(2)370
- side,
4(1)44,
4(2)179,
4(4)711,
7(4)501,
7(4)637,
8(4)491,
14(2)147,
14(4)471,
14(4)589,
22(5)816,
23(2)105,
30(3)15,
30(4)21,
31(4)14
- slicing,
9(3)319,
12(1)26,
16(4)1097,
17(2)197,
19(3)525,
19(5)639,
27(4)631,
28(6)1088,
29(2)7,
29(5)27,
30(1)3,
30(1)5,
30(2)10,
32(1)1,
32(6)23
- so-called,
17(2)264,
17(3)431,
17(3)487,
19(5)685,
20(3)679,
33(4)14
- tackled,
20(2)344
- taken,
4(1)44,
14(1)1,
17(2)394,
17(3)431,
19(1)188,
21(1)46,
22(3)490,
22(3)506
- there,
8(4)577,
9(2)125,
9(2)257,
10(2)248,
13(1)124,
13(2)237,
14(1)1,
15(4)632,
16(1)3,
16(3)607,
16(3)727,
16(4)1156,
16(6)1699,
17(2)331,
17(4)600,
18(2)139,
18(3)235,
19(4)586,
19(6)1085,
20(6)1171,
20(6)1251,
21(1)46,
21(2)240,
22(2)187,
22(2)265,
22(2)378,
22(3)431,
22(3)506,
28(1)70,
30(4)20,
30(4)23,
33(4)13,
33(5)15
- transforming,
4(1)1,
16(4)1081,
17(1)63,
19(4)557,
19(6)1031,
31(6)21,
32(6)24
- undecidability,
16(5)1467,
24(5)554,
34(1)6
- undecidable,
21(4)747,
22(2)416,
32(3)8
- valid,
16(5)1449,
17(1)47,
17(3)431,
29(5)29,
31(1)1,
31(6)23,
33(4)14
- vertex,
16(4)1319,
20(6)1265
- word,
7(4)600,
14(2)201,
14(4)574