Entry Charron-Bost:1995:LTP from toplas.bib
Last update: Tue May 1 02:05:46 MDT 2012
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BibTeX entry
@Article{Charron-Bost:1995:LTP,
author = "Bernadette Charron-Bost and Carole Delporte-Gallet and
Hugues Fauconnier",
title = "Local and Temporal Predicates in Distributed Systems",
journal = j-TOPLAS,
volume = "17",
number = "1",
pages = "157--179",
month = jan,
year = "1995",
CODEN = "ATPSDT",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Fri Jan 5 07:58:42 MST 1996",
bibsource = "http://www.math.utah.edu/pub/tex/bib/toplas.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0164-0925/201005.html",
abstract = "The definitions of the predicates Possibly $\phi$ and
Definitely $\phi$, where $\phi$ is a global predicate
of a distributed computation, lead to the definitions
of two predicate transformers $p$ and $D$. We show that
$p$ plays the same role with respect to {\em time\/} as
the predicate transformers $K_{i}$ in knowledge theory
play with respect to {\em space}. Pursuing this
analogy, we prove that local predicates are exactly the
fixed points of the $K_{i}$'s while the stable
predicates are the fixed points of p. In terms of the
predicate transformers $p$ and $D$, we define a new
class of predicates that we call {\em
observer-independent\/} predicates and for which the
detection of Possibly $\phi$ and Definitely $\phi$ is
quite easy. Finally, we establish a temporal
counterpart to the knowledge change theorem of Chandy
and Misra which formally proves that the global view of
a distributed system provided by its various
observations does not differ too much from its truth
behavior.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Programming Languages and
Systems",
keywords = "theory; verification",
subject = "{\bf D.3.1}: Software, PROGRAMMING LANGUAGES, Formal
Definitions and Theory, Semantics. {\bf C.2.4}:
Computer Systems Organization, COMPUTER-COMMUNICATION
NETWORKS, Distributed Systems, Distributed
applications. {\bf D.2.4}: Software, SOFTWARE
ENGINEERING, Program Verification, Assertion checkers.
{\bf D.2.5}: Software, SOFTWARE ENGINEERING, Testing
and Debugging, Debugging aids.",
}
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31(1)1,
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2(4)564,
4(4)527,
4(4)585,
5(3)265,
7(4)680,
9(2)257,
14(4)471,
16(2)175,
16(3)607,
16(3)687,
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17(2)233,
18(4)355,
18(4)477,
18(6)752,
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19(1)188,
19(4)568,
19(6)1085,
20(3)635,
20(4)845,
21(4)848,
22(1)129,
22(1)162,
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32(1)3,
32(2)5,
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4(4)563,
7(1)62,
13(1)1,
13(2)211,
14(2)173,
16(3)387,
16(3)727,
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22(2)187,
22(2)224,
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29(2)13,
30(3)12,
31(3)9,
31(6)20,
32(1)3,
32(3)9,
32(4)14,
32(6)24
- checker,
7(1)37,
7(1)137,
19(1)87,
21(4)747,
28(2)207,
30(4)20,
30(5)29,
32(2)4,
32(4)14
- class,
4(4)733,
8(2)264,
10(2)204,
13(1)99,
14(1)54,
14(3)339,
15(4)575,
15(4)632,
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17(4)600,
17(5)777,
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18(1)16,
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18(4)477,
18(5)528,
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19(5)751,
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22(3)506,
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29(5)29,
30(2)8,
30(4)20,
30(6)33,
32(3)9,
33(2)6,
33(4)12,
34(1)4
- COMMUNICATION, COMPUTER-,
7(1)80,
7(2)270,
8(1)154,
9(2)235,
10(1)51,
10(2)282,
10(4)513,
11(1)90,
11(2)249,
11(2)284,
11(2)330,
12(2)303,
12(4)537,
13(4)558,
14(3)417,
15(1)1,
15(1)36,
15(3)563,
15(4)706,
15(4)735,
16(2)259,
16(3)986,
17(3)535,
18(5)615,
20(1)51
- COMPUTER-COMMUNICATION,
7(1)80,
7(2)270,
8(1)154,
9(2)235,
10(1)51,
10(2)282,
10(4)513,
11(1)90,
11(2)249,
11(2)284,
11(2)330,
12(2)303,
12(4)537,
13(4)558,
14(3)417,
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15(1)36,
15(3)563,
15(4)706,
15(4)735,
16(2)259,
16(3)986,
17(3)535,
18(5)615,
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15(4)681,
18(3)268,
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7(1)113,
7(1)137,
7(2)214,
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8(2)185,
8(2)244,
8(3)344,
8(3)388,
9(3)390,
9(4)567,
9(4)646,
10(1)156,
10(2)267,
10(3)403,
11(1)147,
12(2)253,
12(2)303,
12(3)396,
12(3)463,
12(4)643,
13(1)21,
14(3)396,
15(1)1,
15(1)36,
15(1)73,
15(1)133,
15(5)876,
16(2)259,
16(3)687,
16(3)798,
16(3)843,
16(3)872,
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17(1)16,
17(3)507,
18(2)175,
18(3)325,
19(2)253,
19(3)427,
19(4)617,
19(5)726,
20(1)51,
20(2)302,
20(2)344,
20(5)917,
20(6)1171,
21(1)46,
21(3)502,
21(3)677,
21(4)747,
22(1)87
- d.2.5,
7(1)37,
7(1)176,
7(2)183,
7(2)214,
7(3)478,
8(1)50,
9(2)164,
11(2)169,
12(4)643,
13(4)491,
14(1)54,
15(2)357,
16(2)175,
16(3)387,
16(4)1097,
16(4)1319,
16(5)1648,
17(2)197,
17(2)217,
17(4)672,
19(2)334,
20(1)1,
20(2)302,
20(6)1111,
21(2)370,
22(2)340
- D.3.1,
7(1)159,
7(2)299,
7(2)311,
7(3)359,
7(3)426,
7(3)478,
7(4)637,
7(4)656,
8(1)109,
8(1)140,
8(2)264,
8(4)547,
9(1)54,
9(2)198,
9(3)390,
9(3)408,
9(3)441,
9(4)543,
9(4)567,
10(1)87,
10(1)118,
10(2)338,
10(3)345,
10(3)470,
10(4)602,
11(1)147,
11(2)169,
11(4)517,
11(4)598,
12(3)429,
13(1)99,
13(4)577,
14(1)107,
14(2)127,
14(3)396,
14(4)589,
15(1)133,
15(1)206,
15(2)290,
15(3)463,
15(3)535,
15(4)575,
15(4)681,
16(3)328,
16(3)605,
16(3)924,
16(3)1024,
16(4)1215,
16(4)1279,
16(5)1512,
16(5)1572,
16(5)1613,
16(6)1842,
16(6)1875,
17(1)47,
17(1)63,
17(2)228,
17(2)366,
17(5)777,
17(6)844,
17(6)896,
18(1)16,
18(6)711,
19(1)7,
19(5)685,
19(5)751,
19(6)1053,
20(2)436,
21(1)11,
21(1)90,
21(3)527,
21(5)914,
21(6)1196,
22(1)1,
22(4)638,
22(4)701,
22(6)1037
- debugging,
4(3)323,
4(4)615,
7(1)37,
7(1)176,
7(2)183,
7(2)214,
7(3)478,
8(1)50,
9(2)164,
9(3)319,
11(2)169,
12(4)643,
13(4)491,
14(1)54,
14(2)173,
15(2)357,
16(2)175,
16(3)387,
16(3)649,
16(4)1097,
16(4)1319,
16(5)1648,
17(1)63,
17(2)197,
17(2)217,
17(4)672,
19(1)87,
19(2)334,
20(1)1,
20(2)302,
20(6)1111,
21(2)370,
22(2)340,
31(1)5,
32(4)15,
32(6)23
- define,
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4(4)668,
8(4)577,
10(2)189,
13(2)211,
14(4)589,
15(1)133,
15(5)771,
16(3)456,
16(3)524,
16(3)954,
16(4)1319,
16(5)1472,
16(6)1811,
16(6)1875,
17(1)47,
17(2)264,
17(2)366,
18(2)109,
18(4)477,
18(6)711,
19(6)899,
20(4)707,
21(2)240,
21(3)569,
22(4)638,
22(6)1037,
28(3)389,
28(5)942,
31(1)2,
31(6)23,
32(3)8,
32(3)9,
32(4)12,
32(5)19,
33(1)4,
33(5)16
- definitely,
16(3)649
- detection,
4(1)37,
4(4)678,
8(3)326,
8(4)577,
9(2)164,
9(4)491,
12(1)102,
15(1)1,
17(1)85,
17(4)600,
18(4)477,
18(6)659,
20(2)274,
24(6)593,
28(2)207,
29(3)16,
30(4)20,
30(5)25,
31(2)7,
32(2)6,
33(1)2,
33(1)3
- differ,
16(3)387,
16(5)1399,
18(6)752,
20(6)1297,
21(5)977
- 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(3)461,
17(4)635,
18(1)30,
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
- easy,
4(2)295,
5(2)127,
6(4)505,
9(2)235,
13(2)211,
16(3)649,
16(5)1472,
16(6)1811,
21(4)790,
31(3)9,
32(4)14,
34(1)3,
34(1)4
- establish,
5(2)223,
14(1)54,
16(6)1737,
16(6)1875,
17(3)431,
21(2)370,
28(2)331,
30(6)34,
31(1)5,
32(2)5,
33(4)13
- exactly,
4(1)83,
8(1)109,
17(3)487,
17(4)576,
19(5)685,
19(5)751,
22(5)816,
30(5)29,
31(6)21
- finally,
4(4)615,
11(4)598,
13(2)237,
14(3)339,
15(4)632,
16(3)687,
17(1)63,
17(4)561,
18(1)1,
18(5)564,
20(1)116,
20(1)208,
20(4)768,
21(2)175,
22(2)187,
27(6)1097,
27(6)1270,
27(6)1344,
28(4)696,
30(1)4,
30(2)8,
30(4)24,
30(6)32,
31(2)7,
31(2)8,
32(2)4,
32(3)9,
34(1)2
- fixed,
14(2)147,
16(3)924,
17(2)181,
17(5)777,
18(5)528,
19(1)87,
20(1)51,
22(1)87,
22(3)471,
31(4)15,
34(1)3
- formally,
4(3)402,
8(4)524,
13(1)21,
15(4)681,
18(6)711,
19(2)334,
20(4)707,
28(3)389,
29(2)13,
30(4)24,
31(1)1,
31(1)4,
32(3)8
- global,
2(1)18,
4(3)323,
6(2)192,
7(2)299,
10(4)635,
11(4)666,
13(2)181,
13(2)291,
14(2)173,
15(4)735,
16(2)175,
16(2)205,
16(3)305,
16(3)387,
16(4)1156,
17(1)47,
18(2)175,
18(4)355,
18(5)564,
18(5)564-1,
18(5)615,
18(6)683,
20(1)51,
20(1)166,
20(1)208,
20(2)344,
21(2)189,
21(4)813,
21(5)895,
21(5)948,
21(6)1251,
22(1)129,
22(2)187,
22(4)673,
22(5)932,
26(2)221,
28(4)715
- knowledge,
4(2)295,
7(1)1,
9(2)125,
9(4)618,
10(1)118,
11(1)115,
11(3)418,
17(5)704,
18(4)424,
19(4)568,
20(4)768,
21(4)703,
27(2)236,
32(4)14,
34(1)5
- lead,
4(2)179,
7(1)159,
7(4)501,
15(1)133,
16(3)687,
17(2)181,
18(3)254,
20(2)302,
21(1)1,
21(3)502,
21(5)948,
22(1)162,
22(2)265,
22(3)540,
27(3)388,
31(5)17,
31(6)21,
32(4)14,
32(5)18
- local,
4(1)21,
4(3)323,
9(2)257,
9(3)367,
11(2)249,
11(2)330,
12(4)643,
13(1)99,
15(4)735,
16(3)370,
17(4)561,
17(4)672,
18(2)175,
18(6)683,
19(3)525,
20(1)51,
21(2)189,
21(3)430,
21(3)569,
22(1)1,
22(1)129,
25(4)401,
30(4)18,
30(4)24,
31(1)1,
31(6)23,
32(1)2,
32(3)9,
32(5)16,
32(6)22
- much,
4(2)283,
7(2)183,
7(3)404,
13(1)21,
13(1)124,
14(2)147,
16(3)524,
16(5)1613,
17(2)233,
17(5)691,
18(1)1,
18(3)300,
18(4)355,
18(4)477,
19(3)444,
20(5)917,
20(6)1265,
21(1)138,
21(3)430,
23(2)105,
28(2)207,
28(5)908,
30(4)18,
33(1)3,
33(3)10
- NETWORKS,
7(1)80,
7(2)270,
8(1)154,
9(2)235,
10(1)51,
10(2)282,
10(4)513,
11(1)90,
11(2)249,
11(2)284,
11(2)330,
12(2)303,
12(4)537,
13(4)558,
14(3)417,
15(1)1,
15(1)36,
15(3)563,
15(4)706,
15(4)735,
16(2)259,
16(3)986,
17(3)535,
18(5)615,
20(1)51
- observation,
4(2)196,
11(4)633,
16(5)1613,
20(6)1265,
27(6)1049
- organization,
3(4)508,
7(1)80,
7(2)183,
7(2)270,
7(3)404,
7(4)501,
8(1)154,
8(4)419,
9(2)235,
9(4)599,
9(4)618,
10(1)51,
10(2)282,
10(2)313,
10(3)374,
10(4)513,
10(4)579,
11(1)1,
11(1)57,
11(1)90,
11(2)249,
11(2)284,
11(2)330,
11(3)404,
12(1)102,
12(2)303,
12(4)501,
12(4)537,
13(4)558,
14(1)28,
14(2)265,
14(3)299,
14(3)417,
14(4)521,
15(1)1,
15(1)36,
15(3)400,
15(3)563,
15(4)632,
15(4)659,
15(4)706,
15(4)735,
16(1)151,
16(2)259,
16(3)370,
16(3)775,
16(3)954,
16(3)986,
16(4)1319,
16(5)1399,
17(1)123,
17(3)535,
17(4)561,
17(5)691,
18(4)355,
18(5)615,
18(6)659,
19(1)188,
19(2)292,
19(3)492,
19(3)525,
20(1)51,
20(2)274,
20(4)869,
20(6)1195,
21(1)46,
21(4)703,
21(5)1028,
22(5)773,
28(5)848
- play,
4(2)283,
16(4)1081,
19(3)462,
21(2)189,
31(1)4
- point,
4(2)149,
4(4)687,
9(4)491,
14(2)147,
14(4)574,
16(2)175,
16(3)607,
16(3)775,
16(3)924,
16(5)1399,
16(6)1842,
17(1)28,
17(2)181,
17(4)635,
17(5)777,
18(5)564,
18(6)730,
20(6)1297,
21(5)1028,
21(6)1137,
26(5)890,
27(6)1147,
28(1)134,
28(3)476,
28(5)908,
29(5)29,
30(4)21,
31(1)3,
31(4)15,
32(4)11,
32(4)13,
32(5)17,
33(1)2
- possibly,
4(4)563,
4(4)650,
16(6)1842,
17(2)366,
18(4)401,
18(6)752,
20(1)208,
31(6)23
- predicate,
4(2)258,
4(4)668,
4(4)711,
10(2)267,
11(3)418,
12(3)396,
16(3)687,
16(3)798,
18(3)325,
22(5)861,
27(2)314,
27(5)988,
27(6)1270,
28(4)747,
29(3)15,
30(5)29,
31(2)7,
31(4)16,
34(1)2
- prove,
14(2)147,
15(4)575,
15(4)632,
15(4)659,
15(5)771,
16(3)924,
16(3)1051,
16(4)1081,
16(4)1248,
16(5)1411,
16(5)1613,
17(1)47,
17(2)264,
17(4)576,
18(3)235,
18(3)254,
18(5)519,
18(6)730,
19(3)413,
19(5)804,
19(6)899,
20(4)707,
20(4)724,
20(5)1067,
20(6)1111,
20(6)1171,
21(1)90,
21(2)189,
21(2)240,
21(3)569,
21(3)677,
21(4)790,
21(5)914,
21(6)1196,
22(1)87,
22(2)296,
22(5)773,
22(6)1002,
27(6)1270,
28(2)290,
28(5)795,
28(5)942,
29(6)35,
30(4)24,
31(2)8,
31(3)12,
31(5)19,
32(3)7,
32(3)8,
33(4)12,
34(1)2
- provided,
6(4)527,
8(4)577,
13(1)52,
16(1)151,
16(4)1361,
17(3)487,
19(6)942,
20(5)980,
21(3)627,
22(2)296,
29(5)29,
34(1)6
- quite,
9(2)235,
14(2)173,
16(1)3,
16(3)370,
19(3)444,
21(1)46,
21(2)189,
34(1)3
- respect,
5(3)318,
7(1)159,
8(4)524,
8(4)577,
9(2)164,
13(1)99,
13(2)269,
14(2)265,
15(5)876,
16(4)1081,
16(4)1319,
16(4)1361,
16(5)1411,
17(1)47,
17(2)366,
17(3)487,
17(3)535,
20(3)546,
20(4)724,
22(2)224,
28(2)256,
28(4)619,
28(4)696,
29(1)2,
30(5)25,
31(3)12,
32(3)8
- role,
4(2)283,
16(3)954,
16(4)1081,
16(6)1737,
19(3)462,
20(5)980,
21(2)189,
22(6)1002,
31(1)4,
31(6)20
- same,
4(2)149,
6(4)632,
7(3)404,
8(1)109,
9(2)277,
13(2)181,
14(2)201,
16(3)798,
16(3)872,
16(4)1114,
16(5)1467,
16(5)1472,
16(6)1737,
16(6)1842,
17(1)63,
17(1)123,
17(3)487,
17(4)576,
17(5)691,
18(5)519,
18(6)659,
19(1)48,
19(3)462,
19(5)751,
19(5)804,
19(6)942,
20(3)586,
20(6)1111,
20(6)1251,
21(3)569,
21(5)977,
22(1)45,
22(2)265,
22(3)490,
27(3)388,
28(2)290,
28(4)747,
29(1)2,
29(5)29,
30(6)32,
31(1)2,
31(4)16,
32(3)9,
32(4)11,
32(4)15,
32(6)24
- space,
1(2)287,
4(2)179,
9(2)164,
11(1)90,
13(1)1,
14(2)201,
15(5)876,
16(3)370,
16(4)1248,
16(4)1361,
17(1)123,
17(4)635,
17(4)672,
17(5)777,
18(3)325,
18(4)477,
19(3)462,
19(6)992,
20(2)302,
20(2)344,
20(4)869,
20(6)1195,
20(6)1223,
21(1)138,
21(4)813,
22(1)129,
22(2)296,
22(4)673,
24(4)409,
27(3)388,
28(2)290,
28(5)942,
29(1)2,
30(3)17,
30(5)28,
31(1)3,
31(2)8,
31(6)21,
32(4)11,
32(4)12,
32(4)13,
34(1)3
- temporal,
4(3)455,
6(1)68,
6(2)239,
8(2)244,
11(1)147,
14(4)521,
16(3)872,
16(5)1543,
18(4)424,
19(4)617,
20(1)51,
21(5)977,
22(1)87,
27(6)1344,
30(5)29,
31(4)14,
33(5)15
- term,
4(1)44,
4(1)83,
4(2)258,
4(3)382,
4(3)402,
4(3)496,
6(2)159,
8(1)109,
8(4)524,
8(4)547,
9(4)491,
10(2)204,
11(4)633,
13(1)21,
13(1)99,
13(1)124,
15(4)575,
15(4)659,
16(1)35,
16(1)151,
16(2)175,
16(3)456,
16(3)493,
16(3)607,
16(3)727,
16(4)1215,
16(4)1279,
16(4)1361,
16(5)1411,
17(2)366,
17(4)600,
18(1)73,
18(3)325,
19(5)639,
20(3)635,
21(2)189,
21(5)948,
28(3)389,
28(5)795,
28(5)848,
31(3)10,
31(4)13,
31(4)16,
32(5)19,
32(6)22,
33(2)7,
33(5)16,
34(1)1
- testing,
3(3)211,
7(1)37,
7(1)176,
7(2)183,
7(2)214,
7(3)478,
8(1)50,
9(2)164,
11(2)169,
12(4)643,
13(4)491,
14(1)54,
15(1)182,
15(2)357,
16(1)3,
16(2)175,
16(3)387,
16(3)649,
16(4)1097,
16(4)1319,
16(5)1613,
16(5)1648,
17(2)197,
17(2)217,
17(4)672,
19(2)334,
19(4)557,
20(1)1,
20(1)51,
20(2)302,
20(6)1111,
21(2)370,
22(2)340,
30(3)12,
31(1)5,
31(5)19,
32(1)1,
32(4)15
- theorem,
4(2)258,
4(4)733,
7(1)113,
8(1)1,
8(4)547,
9(1)100,
12(2)224,
12(2)253,
13(1)99,
13(2)237,
14(2)127,
16(2)205,
16(3)607,
16(3)687,
16(4)1081,
17(1)63,
17(2)264,
18(2)175,
18(3)268,
20(1)208,
20(3)586,
21(3)627,
21(6)1137,
22(4)638,
28(4)619,
28(4)747,
30(6)30,
31(1)5,
31(4)15,
33(1)4
- too,
7(2)183,
17(5)740,
18(3)300,
20(4)869,
21(2)175,
21(3)502,
21(4)813,
22(1)87,
28(4)747,
28(5)908,
31(1)3,
32(3)9
- transformer,
4(4)668,
12(3)396,
16(3)727,
16(3)798,
18(3)325,
19(6)1053,
20(5)1067,
31(4)16,
32(2)5
- various,
4(2)239,
8(4)491,
14(2)127,
15(4)575,
15(4)659,
16(2)259,
16(3)524,
16(6)1768,
17(4)600,
20(4)707,
21(1)90,
21(2)175,
21(2)240,
21(3)677,
21(6)1137,
22(2)265,
22(2)296,
22(2)416,
22(4)673,
22(4)701,
22(5)816,
22(6)1037,
28(3)389,
31(1)4,
32(4)13,
32(5)19,
33(5)16,
34(1)5
- view,
4(1)113,
4(2)149,
5(2)127,
8(4)419,
8(4)577,
16(3)607,
16(6)1768,
17(1)28,
17(3)431,
18(5)564,
18(6)730,
19(6)942,
21(1)46,
21(5)948,
21(6)1137,
30(4)18,
32(6)24,
33(5)16
- 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(2)264,
17(3)487,
17(4)600,
18(1)30,
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
- while,
3(4)484,
4(2)283,
4(3)455,
5(1)46,
13(1)99,
13(1)124,
14(2)147,
16(2)175,
16(4)1117,
16(5)1399,
16(5)1431,
16(5)1467,
16(5)1613,
16(6)1675,
17(2)331,
17(4)635,
18(2)175,
18(4)355,
18(4)454,
18(5)615,
19(1)153,
19(3)427,
19(3)525,
19(4)568,
19(4)617,
20(2)274,
20(6)1171,
20(6)1195,
21(1)11,
21(2)324,
21(3)502,
21(3)677,
21(4)703,
21(4)848,
21(5)977,
21(6)1137,
22(2)296,
22(3)471,
27(6)1097,
27(6)1147,
28(1)70,
28(1)106,
28(1)134,
28(2)256,
28(3)429,
30(3)17,
30(4)18,
30(4)23,
30(5)29,
31(2)7,
31(3)10,
31(4)14,
31(6)20,
32(1)3,
32(3)9,
32(6)23,
33(5)15,
33(5)16,
34(1)4,
34(1)6