1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
|
%%%%%%% FAQ %%%%%%%
@book{ProofsTypes,
Author="Girard, Jean-Yves and Yves Lafont and Paul Taylor",
Title="Proofs and Types",
Publisher="Cambrige Tracts in Theoretical Computer Science, Cambridge University Press",
Year="1989"
}
@misc{Types:Dowek,
author = "Gilles Dowek",
title = "Th{\'e}orie des types",
year = 2002,
howpublished = "Lecture notes",
url= "http://www.lix.polytechnique.fr/~dowek/Cours/theories_des_types.ps.gz"
}
@PHDTHESIS{EGThese,
author = {Eduardo Giménez},
title = {Un Calcul de Constructions Infinies et son application
a la vérification de systèmes communicants},
type = {thèse d'Université},
school = {Ecole Normale Supérieure de Lyon},
month = {December},
year = {1996},
}
%%%%%%% Semantique %%%%%%%
@misc{Sem:cours,
author = "François Pottier",
title = "{Typage et Programmation}",
year = "2002",
howpublished = "Lecture notes",
note = "DEA PSPL"
}
@inproceedings{Sem:Dubois,
author = {Catherine Dubois},
editor = {Mark Aagaard and
John Harrison},
title = "{Proving ML Type Soundness Within Coq}",
pages = {126-144},
booktitle = {TPHOLs},
publisher = {Springer},
series = {Lecture Notes in Computer Science},
volume = {1869},
year = {2000},
isbn = {3-540-67863-8},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
@techreport{Sem:Plotkin,
author = {Gordon D. Plotkin},
institution = {Aarhus University},
number = {{DAIMI FN-19}},
title = {{A structural approach to operational semantics}},
year = {1981}
}
@article{Sem:RemyV98,
author = "Didier R{\'e}my and J{\'e}r{\^o}me Vouillon",
title = "Objective {ML}:
An effective object-oriented extension to {ML}",
journal = "Theory And Practice of Object Systems",
year = 1998,
volume = "4",
number = "1",
pages = "27--50",
note = {A preliminary version appeared in the proceedings
of the 24th ACM Conference on Principles
of Programming Languages, 1997}
}
@book{Sem:Winskel,
AUTHOR = {Winskel, Glynn},
TITLE = {The Formal Semantics of Programming Languages},
NOTE = {WIN g2 93:1 P-Ex},
YEAR = {1993},
PUBLISHER = {The MIT Press},
SERIES = {Foundations of Computing},
}
@Article{Sem:WrightFelleisen,
refkey = "C1210",
title = "A Syntactic Approach to Type Soundness",
author = "Andrew K. Wright and Matthias Felleisen",
pages = "38--94",
journal = "Information and Computation",
month = "15~" # nov,
year = "1994",
volume = "115",
number = "1"
}
@inproceedings{Sem:Nipkow-MOD,
author={Tobias Nipkow},
title={Jinja: Towards a Comprehensive Formal Semantics for a
{J}ava-like Language},
booktitle={Proc.\ Marktobderdorf Summer School 2003},
publisher={IOS Press},editor={H. Schwichtenberg and K. Spies},
year=2003,
note={To appear}
}
%%%%%%% Coq %%%%%%%
@book{Coq:coqart,
title = "Interactive Theorem Proving and Program Development,
Coq'Art: The Calculus of Inductive Constructions",
author = "Yves Bertot and Pierre Castéran",
publisher = "Springer Verlag",
series = "Texts in Theoretical Computer Science. An
EATCS series",
year = 2004
}
@phdthesis{Coq:Del01,
AUTHOR = "David Delahaye",
TITLE = "Conception de langages pour décrire les preuves et les
automatisations dans les outils d'aide à la preuve",
SCHOOL = {Universit\'e Paris~6},
YEAR = "2001",
Type = {Th\`ese de Doctorat}
}
@techreport{Coq:gimenez-tut,
author = "Eduardo Gim\'enez",
title = "A Tutorial on Recursive Types in Coq",
number = "RT-0221",
pages = "42 p.",
url = "citeseer.nj.nec.com/gimenez98tutorial.html" }
@phdthesis{Coq:Mun97,
AUTHOR = "César Mu{\~{n}}oz",
TITLE = "Un calcul de substitutions pour la repr\'esentation
de preuves partielles en th\'eorie de types",
SCHOOL = {Universit\'e Paris~7},
Number = {Unit\'e de recherche INRIA-Rocquencourt, TU-0488},
YEAR = "1997",
Note = {English version available as INRIA research report RR-3309},
Type = {Th\`ese de Doctorat}
}
@PHDTHESIS{Coq:Filliatre99,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Preuve de programmes imp\'eratifs en th\'eorie des types}},
TYPE = {Th{\`e}se de Doctorat},
SCHOOL = {Universit\'e Paris-Sud},
YEAR = 1999,
MONTH = {July},
}
@manual{Coq:Tutorial,
AUTHOR = {G\'erard Huet and Gilles Kahn and Christine Paulin-Mohring},
TITLE = {{The Coq Proof Assistant A Tutorial}},
YEAR = 2004
}
%%%%%%% PVS %%%%%%%
@manual{PVS:prover,
title = "{PVS} Prover Guide",
author = "N. Shankar and S. Owre and J. M. Rushby and D. W. J.
Stringer-Calvert",
month = sep,
year = "1999",
organization = "Computer Science Laboratory, SRI International",
address = "Menlo Park, CA",
}
@techreport{PVS-Semantics:TR,
TITLE = {The Formal Semantics of {PVS}},
AUTHOR = {Sam Owre and Natarajan Shankar},
NUMBER = {CR-1999-209321},
INSTITUTION = {Computer Science Laboratory, SRI International},
ADDRESS = {Menlo Park, CA},
MONTH = may,
YEAR = 1999,
}
@techreport{PVS-Tactics:DiVito,
TITLE = {A {PVS} Prover Strategy Package for Common Manipulations},
AUTHOR = {Ben L. Di Vito},
NUMBER = {TM-2002-211647},
INSTITUTION = {Langley Research Center},
ADDRESS = {Hampton, VA},
MONTH = apr,
YEAR = 2002,
}
@misc{PVS-Tactics:cours,
author = "César Muñoz",
title = "Strategies in {PVS}",
howpublished = "Lecture notes",
note = "National Institute of Aerospace",
year = 2002
}
@techreport{PVS-Tactics:field,
author = "C. Mu{\~n}oz and M. Mayero",
title = "Real Automation in the Field",
institution = "ICASE-NASA Langley",
number = "NASA/CR-2001-211271 Interim ICASE Report No. 39",
month = "dec",
year = "2001"
}
%%%%%%% Autres Prouveurs %%%%%%%
@misc{ACL2:repNuPrl,
author = "James L. Caldwell and John Cowles",
title = "{Representing Nuprl Proof Objects in ACL2: toward a proof checker for Nuprl}",
url = "http://www.cs.uwyo.edu/~jlc/papers/proof_checking.ps" }
@inproceedings{Elan:ckl-strat,
author = {H. Cirstea and C. Kirchner and L. Liquori},
title = "{Rewrite Strategies in the Rewriting Calculus}",
booktitle = {WRLA'02},
publisher = "{Elsevier Science B.V.}",
series = {Electronic Notes in Theoretical Computer Science},
volume = {71},
year = {2003},
}
@book{LCF:GMW,
author = {M. Gordon and R. Milner and C. Wadsworth},
publisher = {sv},
series = {lncs},
volume = 78,
title = {Edinburgh {LCF}: A Mechanized Logic of Computation},
year = 1979
}
%%%%%%% LaTeX %%%%%%%
@manual{LaTeX:symb,
title = "The Great, Big List of \LaTeX\ Symbols",
author = "David Carlisle and Scott Pakin and Alexander Holt",
month = feb,
year = 2001,
}
@manual{LaTeX:intro,
title = "The Not So Short Introduction to \LaTeX2e",
author = "Tobias Oetiker",
month = jan,
year = 1999,
}
@MANUAL{CoqManualV7,
AUTHOR = {{The {Coq} Development Team}},
TITLE = {{The Coq Proof Assistant Reference Manual -- Version
V7.1}},
YEAR = {2001},
MONTH = OCT,
NOTE = {http://coq.inria.fr}
}
@MANUAL{CoqManual96,
TITLE = {The {Coq Proof Assistant Reference Manual} Version 6.1},
AUTHOR = {B. Barras and S. Boutin and C. Cornes and J. Courant and
J.-C. Filli\^atre and
H. Herbelin and G. Huet and P. Manoury and C. Mu{\~{n}}oz and
C. Murthy and C. Parent and C. Paulin-Mohring and
A. Sa{\"\i}bi and B. Werner},
ORGANIZATION = {{INRIA-Rocquencourt}-{CNRS-ENS Lyon}},
URL = {ftp://ftp.inria.fr/INRIA/coq/V6.1/doc/Reference-Manual.dvi.gz},
YEAR = 1996,
MONTH = DEC
}
@MANUAL{CoqTutorial99,
AUTHOR = {G.~Huet and G.~Kahn and Ch.~Paulin-Mohring},
TITLE = {The {\sf Coq} Proof Assistant - A tutorial - Version 6.3},
MONTH = JUL,
YEAR = {1999},
ABSTRACT = {http://coq.inria.fr/doc/tutorial.html}
}
@MANUAL{CoqTutorialV7,
AUTHOR = {G.~Huet and G.~Kahn and Ch.~Paulin-Mohring},
TITLE = {The {\sf Coq} Proof Assistant - A tutorial - Version 7.1},
MONTH = OCT,
YEAR = {2001},
NOTE = {http://coq.inria.fr}
}
@TECHREPORT{modelpa2000,
AUTHOR = {B. Bérard and P. Castéran and E. Fleury and L. Fribourg
and J.-F. Monin and C. Paulin and A. Petit and D. Rouillard},
TITLE = {Automates temporisés CALIFE},
INSTITUTION = {Calife},
YEAR = 2000,
URL = {http://www.loria.fr/projets/calife/WebCalifePublic/FOURNITURES/F1.1.ps.gz},
TYPE = {Fourniture {F1.1}}
}
@TECHREPORT{CaFrPaRo2000,
AUTHOR = {P. Castéran and E. Freund and C. Paulin and D. Rouillard},
TITLE = {Bibliothèques Coq et Isabelle-HOL pour les systèmes de transitions et les p-automates},
INSTITUTION = {Calife},
YEAR = 2000,
URL = {http://www.loria.fr/projets/calife/WebCalifePublic/FOURNITURES/F5.4.ps.gz},
TYPE = {Fourniture {F5.4}}
}
@PROCEEDINGS{TPHOLs99,
TITLE = {International Conference on
Theorem Proving in Higher Order Logics (TPHOLs'99)},
YEAR = 1999,
EDITOR = {Y. Bertot and G. Dowek and C. Paulin-Mohring and L. Th{\'e}ry},
SERIES = {Lecture Notes in Computer Science},
MONTH = SEP,
PUBLISHER = {{Sprin\-ger-Verlag}},
ADDRESS = {Nice},
TYPE_PUBLI = {editeur}
}
@INPROCEEDINGS{Pau01,
AUTHOR = {Christine Paulin-Mohring},
TITLE = {Modelisation of Timed Automata in {Coq}},
BOOKTITLE = {Theoretical Aspects of Computer Software (TACS'2001)},
PAGES = {298--315},
YEAR = 2001,
EDITOR = {N. Kobayashi and B. Pierce},
VOLUME = 2215,
SERIES = {Lecture Notes in Computer Science},
PUBLISHER = {Springer-Verlag}
}
@PHDTHESIS{Moh89b,
AUTHOR = {C. Paulin-Mohring},
MONTH = JAN,
SCHOOL = {{Paris 7}},
TITLE = {Extraction de programmes dans le {Calcul des Constructions}},
TYPE = {Thèse d'université},
YEAR = {1989},
URL = {http://www.lri.fr/~paulin/these.ps.gz}
}
@ARTICLE{HuMo92,
AUTHOR = {G. Huet and C. Paulin-Mohring},
EDITION = {INRIA},
JOURNAL = {Courrier du CNRS - Informatique},
TITLE = {Preuves et Construction de Programmes},
YEAR = {1992},
CATEGORY = {national}
}
@INPROCEEDINGS{LePa94,
AUTHOR = {F. Leclerc and C. Paulin-Mohring},
TITLE = {Programming with Streams in {Coq}. A case study : The Sieve of Eratosthenes},
EDITOR = {H. Barendregt and T. Nipkow},
VOLUME = 806,
SERIES = {Lecture Notes in Computer Science},
BOOKTITLE = {{Types for Proofs and Programs, Types' 93}},
YEAR = 1994,
PUBLISHER = {Springer-Verlag}
}
@INPROCEEDINGS{Moh86,
AUTHOR = {C. Mohring},
ADDRESS = {Cambridge, MA},
BOOKTITLE = {Symposium on Logic in Computer Science},
PUBLISHER = {IEEE Computer Society Press},
TITLE = {Algorithm Development in the {Calculus of Constructions}},
YEAR = {1986}
}
@INPROCEEDINGS{Moh89a,
AUTHOR = {C. Paulin-Mohring},
ADDRESS = {Austin},
BOOKTITLE = {Sixteenth Annual ACM Symposium on Principles of Programming Languages},
MONTH = JAN,
PUBLISHER = {ACM},
TITLE = {Extracting ${F}_{\omega}$'s programs from proofs in the {Calculus of Constructions}},
YEAR = {1989}
}
@INCOLLECTION{Moh89c,
AUTHOR = {C. Paulin-Mohring},
TITLE = {{R\'ealisabilit\'e et extraction de programmes}},
BOOKTITLE = {Logique et Informatique : une introduction},
PUBLISHER = {INRIA},
YEAR = 1991,
EDITOR = {B. Courcelle},
VOLUME = 8,
SERIES = {Collection Didactique},
PAGES = {163-180},
CATEGORY = {national}
}
@INPROCEEDINGS{Moh93,
AUTHOR = {C. Paulin-Mohring},
BOOKTITLE = {Proceedings of the conference Typed Lambda Calculi a
nd Applications},
EDITOR = {M. Bezem and J.-F. Groote},
INSTITUTION = {LIP-ENS Lyon},
NOTE = {LIP research report 92-49},
NUMBER = 664,
SERIES = {Lecture Notes in Computer Science},
TITLE = {{Inductive Definitions in the System {Coq} - Rules and Properties}},
TYPE = {research report},
YEAR = 1993
}
@ARTICLE{PaWe92,
AUTHOR = {C. Paulin-Mohring and B. Werner},
JOURNAL = {Journal of Symbolic Computation},
TITLE = {{Synthesis of ML programs in the system Coq}},
VOLUME = {15},
YEAR = {1993},
PAGES = {607--640}
}
@INPROCEEDINGS{Pau96,
AUTHOR = {C. Paulin-Mohring},
TITLE = {Circuits as streams in {Coq} : Verification of a sequential multiplier},
BOOKTITLE = {Types for Proofs and Programs, TYPES'95},
EDITOR = {S. Berardi and M. Coppo},
SERIES = {Lecture Notes in Computer Science},
YEAR = 1996,
VOLUME = 1158
}
@PHDTHESIS{Pau96b,
AUTHOR = {Christine Paulin-Mohring},
TITLE = {Définitions Inductives en Théorie des Types d'Ordre Supérieur},
SCHOOL = {Université Claude Bernard Lyon I},
YEAR = 1996,
MONTH = DEC,
TYPE = {Habilitation à diriger les recherches},
URL = {http://www.lri.fr/~paulin/habilitation.ps.gz}
}
@INPROCEEDINGS{PfPa89,
AUTHOR = {F. Pfenning and C. Paulin-Mohring},
BOOKTITLE = {Proceedings of Mathematical Foundations of Programming Semantics},
NOTE = {technical report CMU-CS-89-209},
PUBLISHER = {Springer-Verlag},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 442,
TITLE = {Inductively defined types in the {Calculus of Constructions}},
YEAR = {1990}
}
@MISC{krakatoa02,
AUTHOR = {Claude March\'e and Christine Paulin and Xavier Urbain},
TITLE = {The \textsc{Krakatoa} proof tool},
YEAR = 2002,
NOTE = {\url{http://krakatoa.lri.fr/}}
}
@ARTICLE{marche03jlap,
AUTHOR = {Claude March{\'e} and Christine Paulin-Mohring and Xavier Urbain},
TITLE = {The \textsc{Krakatoa} Tool for Certification of \textsc{Java/JavaCard} Programs annotated in \textsc{JML}},
JOURNAL = {Journal of Logic and Algebraic Programming},
YEAR = 2003,
NOTE = {To appear},
URL = {http://krakatoa.lri.fr},
TOPICS = {team}
}
@ARTICLE{marche04jlap,
AUTHOR = {Claude March{\'e} and Christine Paulin-Mohring and Xavier Urbain},
TITLE = {The \textsc{Krakatoa} Tool for Certification of \textsc{Java/JavaCard} Programs annotated in \textsc{JML}},
JOURNAL = {Journal of Logic and Algebraic Programming},
YEAR = 2004,
VOLUME = 58,
NUMBER = {1--2},
PAGES = {89--106},
URL = {http://krakatoa.lri.fr},
TOPICS = {team}
}
@TECHREPORT{catano03deliv,
AUTHOR = {N{\'e}stor Cata{\~n}o and Marek Gawkowski and
Marieke Huisman and Bart Jacobs and Claude March{\'e} and Christine Paulin
and Erik Poll and Nicole Rauch and Xavier Urbain},
TITLE = {Logical Techniques for Applet Verification},
INSTITUTION = {VerifiCard Project},
YEAR = 2003,
TYPE = {Deliverable},
NUMBER = {5.2},
TOPICS = {team},
NOTE = {Available from \url{http://www.verificard.org}}
}
@TECHREPORT{kmu2002rr,
AUTHOR = {Keiichirou Kusakari and Claude Marché and Xavier Urbain},
TITLE = {Termination of Associative-Commutative Rewriting using Dependency Pairs Criteria},
INSTITUTION = {LRI},
YEAR = 2002,
TYPE = {Research Report},
NUMBER = 1304,
TYPE_PUBLI = {interne},
TOPICS = {team},
NOTE = {\url{http://www.lri.fr/~urbain/textes/rr1304.ps.gz}},
URL = {http://www.lri.fr/~urbain/textes/rr1304.ps.gz}
}
@ARTICLE{marche2004jsc,
AUTHOR = {Claude March\'e and Xavier Urbain},
TITLE = {Modular {\&} Incremental Proofs of {AC}-Termination},
JOURNAL = {Journal of Symbolic Computation},
YEAR = 2004,
TOPICS = {team}
}
@INPROCEEDINGS{contejean03wst,
AUTHOR = {Evelyne Contejean and Claude Marché and Benjamin Monate and Xavier Urbain},
TITLE = {{Proving Termination of Rewriting with {\sc C\textit{i}ME}}},
CROSSREF = {wst03},
PAGES = {71--73},
NOTE = {\url{http://cime.lri.fr/}},
URL = {http://cime.lri.fr/},
YEAR = 2003,
TYPE_PUBLI = {icolcomlec},
TOPICS = {team}
}
@TECHREPORT{contejean04rr,
AUTHOR = {Evelyne Contejean and Claude March{\'e} and Ana-Paula Tom{\'a}s and Xavier Urbain},
TITLE = {Mechanically proving termination using polynomial interpretations},
INSTITUTION = {LRI},
YEAR = {2004},
TYPE = {Research Report},
NUMBER = {1382},
TYPE_PUBLI = {interne},
TOPICS = {team},
URL = {http://www.lri.fr/~urbain/textes/rr1382.ps.gz}
}
@UNPUBLISHED{duran_sub,
AUTHOR = {Francisco Duran and Salvador Lucas and
Claude {March\'e} and {Jos\'e} Meseguer and Xavier Urbain},
TITLE = {Termination of Membership Equational Programs},
NOTE = {Submitted}
}
@PROCEEDINGS{comon95lncs,
TITLE = {Term Rewriting},
BOOKTITLE = {Term Rewriting},
TOPICS = {team, cclserver},
YEAR = 1995,
EDITOR = {Hubert Comon and Jean-Pierre Jouannaud},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {909},
PUBLISHER = {{Sprin\-ger-Verlag}},
ORGANIZATION = {French Spring School of Theoretical Computer
Science},
TYPE_PUBLI = {editeur},
CLEF_LABO = {CJ95}
}
@PROCEEDINGS{lics94,
TITLE = {Proceedings of the Ninth Annual IEEE Symposium on Logic
in Computer Science},
BOOKTITLE = {Proceedings of the Ninth Annual IEEE Symposium on Logic
in Computer Science},
YEAR = 1994,
MONTH = JUL,
ADDRESS = {Paris, France},
ORGANIZATION = {{IEEE} Comp. Soc. Press}
}
@PROCEEDINGS{rta91,
TITLE = {4th International Conference on Rewriting Techniques and
Applications},
BOOKTITLE = {4th International Conference on Rewriting Techniques and
Applications},
EDITOR = {Ronald. V. Book},
YEAR = 1991,
MONTH = APR,
ADDRESS = {Como, Italy},
PUBLISHER = {{Sprin\-ger-Verlag}},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 488
}
@PROCEEDINGS{rta96,
TITLE = {7th International Conference on Rewriting Techniques and
Applications},
BOOKTITLE = {7th International Conference on Rewriting Techniques and
Applications},
EDITOR = {Harald Ganzinger},
PUBLISHER = {{Sprin\-ger-Verlag}},
YEAR = 1996,
MONTH = JUL,
ADDRESS = {New Brunswick, NJ, USA},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 1103
}
@PROCEEDINGS{rta97,
TITLE = {8th International Conference on Rewriting Techniques and
Applications},
BOOKTITLE = {8th International Conference on Rewriting Techniques and
Applications},
EDITOR = {Hubert Comon},
PUBLISHER = {{Sprin\-ger-Verlag}},
YEAR = 1997,
MONTH = JUN,
ADDRESS = {Barcelona, Spain},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {1232}
}
@PROCEEDINGS{rta98,
TITLE = {9th International Conference on Rewriting Techniques and
Applications},
BOOKTITLE = {9th International Conference on Rewriting Techniques and
Applications},
EDITOR = {Tobias Nipkow},
PUBLISHER = {{Sprin\-ger-Verlag}},
YEAR = 1998,
MONTH = APR,
ADDRESS = {Tsukuba, Japan},
SERIES = {Lecture Notes in Computer Science},
VOLUME = {1379}
}
@PROCEEDINGS{rta00,
TITLE = {11th International Conference on Rewriting Techniques and Applications},
BOOKTITLE = {11th International Conference on Rewriting Techniques and Applications},
EDITOR = {Leo Bachmair},
PUBLISHER = {{Sprin\-ger-Verlag}},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 1833,
MONTH = JUL,
YEAR = 2000,
ADDRESS = {Norwich, UK}
}
@PROCEEDINGS{srt95,
TITLE = {Proceedings of the Conference on Symbolic Rewriting
Techniques},
BOOKTITLE = {Proceedings of the Conference on Symbolic Rewriting
Techniques},
YEAR = 1995,
EDITOR = {Manuel Bronstein and Volker Weispfenning},
ADDRESS = {Monte Verita, Switzerland}
}
@BOOK{comon01cclbook,
BOOKTITLE = {Constraints in Computational Logics},
TITLE = {Constraints in Computational Logics},
EDITOR = {Hubert Comon and Claude March{\'e} and Ralf Treinen},
YEAR = 2001,
PUBLISHER = {{Sprin\-ger-Verlag}},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 2002,
TOPICS = {team},
TYPE_PUBLI = {editeur}
}
@PROCEEDINGS{wst03,
BOOKTITLE = {{Extended Abstracts of the 6th International Workshop on Termination, WST'03}},
TITLE = {{Extended Abstracts of the 6th International Workshop on Termination, WST'03}},
YEAR = {2003},
EDITOR = {Albert Rubio},
MONTH = JUN,
NOTE = {Technical Report DSIC II/15/03, Universidad Politécnica de Valencia, Spain}
}
@INPROCEEDINGS{FilliatreLetouzey03,
AUTHOR = {J.-C. Filli\^atre and P. Letouzey},
TITLE = {{Functors for Proofs and Programs}},
BOOKTITLE = {Proceedings of The European Symposium on Programming},
YEAR = 2004,
ADDRESS = {Barcelona, Spain},
MONTH = {March 29-April 2},
NOTE = {To appear},
URL = {http://www.lri.fr/~filliatr/ftp/publis/fpp.ps.gz}
}
@TECHREPORT{Filliatre03,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Why: a multi-language multi-prover verification tool}},
INSTITUTION = {{LRI, Universit\'e Paris Sud}},
TYPE = {{Research Report}},
NUMBER = {1366},
MONTH = {March},
YEAR = 2003,
URL = {http://www.lri.fr/~filliatr/ftp/publis/why-tool.ps.gz}
}
@ARTICLE{FilliatrePottier02,
AUTHOR = {J.-C. Filli{\^a}tre and F. Pottier},
TITLE = {{Producing All Ideals of a Forest, Functionally}},
JOURNAL = {Journal of Functional Programming},
VOLUME = 13,
NUMBER = 5,
PAGES = {945--956},
MONTH = {September},
YEAR = 2003,
URL = {http://www.lri.fr/~filliatr/ftp/publis/kr-fp.ps.gz},
ABSTRACT = {
We present a functional implementation of Koda and Ruskey's
algorithm for generating all ideals of a forest poset as a Gray
code. Using a continuation-based approach, we give an extremely
concise formulation of the algorithm's core. Then, in a number of
steps, we derive a first-order version whose efficiency is
comparable to a C implementation given by Knuth.}
}
@UNPUBLISHED{FORS01,
AUTHOR = {J.-C. Filli{\^a}tre and S. Owre and H. Rue{\ss} and N. Shankar},
TITLE = {Deciding Propositional Combinations of Equalities and Inequalities},
NOTE = {Unpublished},
MONTH = OCT,
YEAR = 2001,
URL = {http://www.lri.fr/~filliatr/ftp/publis/ics.ps},
ABSTRACT = {
We address the problem of combining individual decision procedures
into a single decision procedure. Our combination approach is based
on using the canonizer obtained from Shostak's combination algorithm
for equality. We illustrate our approach with a combination
algorithm for equality, disequality, arithmetic inequality, and
propositional logic. Unlike the Nelson--Oppen combination where the
processing of equalities is distributed across different closed
decision procedures, our combination involves the centralized
processing of equalities in a single procedure. The termination
argument for the combination is based on that for Shostak's
algorithm. We also give soundness and completeness arguments.}
}
@INPROCEEDINGS{ICS,
AUTHOR = {J.-C. Filli{\^a}tre and S. Owre and H. Rue{\ss} and N. Shankar},
TITLE = {{ICS: Integrated Canonization and Solving (Tool presentation)}},
BOOKTITLE = {Proceedings of CAV'2001},
EDITOR = {G. Berry and H. Comon and A. Finkel},
PUBLISHER = {Springer-Verlag},
SERIES = {Lecture Notes in Computer Science},
VOLUME = 2102,
PAGES = {246--249},
YEAR = 2001
}
@INPROCEEDINGS{Filliatre01a,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {La supériorité de l'ordre supérieur},
BOOKTITLE = {Journées Francophones des Langages Applicatifs},
PAGES = {15--26},
MONTH = {Janvier},
YEAR = 2002,
ADDRESS = {Anglet, France},
URL = {http://www.lri.fr/~filliatr/ftp/publis/sos.ps.gz},
CODE = {http://www.lri.fr/~filliatr/ftp/ocaml/misc/koda-ruskey.ps},
ABSTRACT = {
Nous présentons ici une écriture fonctionnelle de l'algorithme de
Koda-Ruskey, un algorithme pour engendrer une large famille
de codes de Gray. En s'inspirant de techniques de programmation par
continuation, nous aboutissons à un code de neuf lignes seulement,
bien plus élégant que les implantations purement impératives
proposées jusqu'ici, notamment par Knuth. Dans un second temps,
nous montrons comment notre code peut être légèrement modifié pour
aboutir à une version de complexité optimale.
Notre implantation en Objective Caml rivalise d'efficacité avec les
meilleurs codes C. Nous détaillons les calculs de complexité,
un exercice intéressant en présence d'ordre supérieur et d'effets de
bord combinés.}
}
@TECHREPORT{Filliatre00c,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Design of a proof assistant: Coq version 7}},
INSTITUTION = {{LRI, Universit\'e Paris Sud}},
TYPE = {{Research Report}},
NUMBER = {1369},
MONTH = {October},
YEAR = 2000,
URL = {http://www.lri.fr/~filliatr/ftp/publis/coqv7.ps.gz},
ABSTRACT = {
We present the design and implementation of the new version of the
Coq proof assistant. The main novelty is the isolation of the
critical part of the system, which consists in a type checker for
the Calculus of Inductive Constructions. This kernel is now
completely independent of the rest of the system and has been
rewritten in a purely functional way. This leads to greater clarity
and safety, without compromising efficiency. It also opens the way to
the ``bootstrap'' of the Coq system, where the kernel will be
certified using Coq itself.}
}
@TECHREPORT{Filliatre00b,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Hash consing in an ML framework}},
INSTITUTION = {{LRI, Universit\'e Paris Sud}},
TYPE = {{Research Report}},
NUMBER = {1368},
MONTH = {September},
YEAR = 2000,
URL = {http://www.lri.fr/~filliatr/ftp/publis/hash-consing.ps.gz},
ABSTRACT = {
Hash consing is a technique to share values that are structurally
equal. Beyond the obvious advantage of saving memory blocks, hash
consing may also be used to gain speed in several operations (like
equality test) and data structures (like sets or maps) when sharing is
maximal. However, physical adresses cannot be used directly for this
purpose when the garbage collector is likely to move blocks
underneath. We present an easy solution in such a framework, with
many practical benefits.}
}
@MISC{ocamlweb,
AUTHOR = {J.-C. Filli\^atre and C. March\'e},
TITLE = {{ocamlweb, a literate programming tool for Objective Caml}},
NOTE = {Available at \url{http://www.lri.fr/~filliatr/ocamlweb/}},
URL = {http://www.lri.fr/~filliatr/ocamlweb/}
}
@ARTICLE{Filliatre00a,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Verification of Non-Functional Programs
using Interpretations in Type Theory}},
JOURNAL = {Journal of Functional Programming},
VOLUME = 13,
NUMBER = 4,
PAGES = {709--745},
MONTH = {July},
YEAR = 2003,
NOTE = {English translation of~\cite{Filliatre99}.},
URL = {http://www.lri.fr/~filliatr/ftp/publis/jphd.ps.gz},
ABSTRACT = {We study the problem of certifying programs combining imperative and
functional features within the general framework of type theory.
Type theory constitutes a powerful specification language, which is
naturally suited for the proof of purely functional programs. To
deal with imperative programs, we propose a logical interpretation
of an annotated program as a partial proof of its specification. The
construction of the corresponding partial proof term is based on a
static analysis of the effects of the program, and on the use of
monads. The usual notion of monads is refined in order to account
for the notion of effect. The missing subterms in the partial proof
term are seen as proof obligations, whose actual proofs are left to
the user. We show that the validity of those proof obligations
implies the total correctness of the program.
We also establish a result of partial completeness.
This work has been implemented in the Coq proof assistant.
It appears as a tactic taking an annotated program as argument and
generating a set of proof obligations. Several nontrivial
algorithms have been certified using this tactic.}
}
@ARTICLE{Filliatre99c,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Formal Proof of a Program: Find}},
JOURNAL = {Science of Computer Programming},
YEAR = 2001,
NOTE = {To appear},
URL = {http://www.lri.fr/~filliatr/ftp/publis/find.ps.gz},
ABSTRACT = {In 1971, C.~A.~R.~Hoare gave the proof of correctness and termination of a
rather complex algorithm, in a paper entitled \emph{Proof of a
program: Find}. It is a hand-made proof, where the
program is given together with its formal specification and where
each step is fully
justified by a mathematical reasoning. We present here a formal
proof of the same program in the system Coq, using the
recent tactic of the system developed to establishing the total
correctness of
imperative programs. We follow Hoare's paper as close as
possible, keeping the same program and the same specification. We
show that we get exactly the same proof obligations, which are
proved in a straightforward way, following the original paper.
We also explain how more informal reasonings of Hoare's proof are
formalized in the system Coq.
This demonstrates the adequacy of the system Coq in the
process of certifying imperative programs.}
}
@TECHREPORT{Filliatre99b,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{A theory of monads parameterized by effects}},
INSTITUTION = {{LRI, Universit\'e Paris Sud}},
TYPE = {{Research Report}},
NUMBER = {1367},
MONTH = {November},
YEAR = 1999,
URL = {http://www.lri.fr/~filliatr/ftp/publis/monads.ps.gz},
ABSTRACT = {Monads were introduced in computer science to express the semantics
of programs with computational effects, while type and effect
inference was introduced to mark out those effects.
In this article, we propose a combination of the notions of effects
and monads, where the monadic operators are parameterized by effects.
We establish some relationships between those generalized monads and
the classical ones.
Then we use a generalized monad to translate imperative programs
into purely functional ones. We establish the correctness of that
translation. This work has been put into practice in the Coq proof
assistant to establish the correctness of imperative programs.}
}
@PHDTHESIS{Filliatre99,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Preuve de programmes imp\'eratifs en th\'eorie des types}},
TYPE = {Th{\`e}se de Doctorat},
SCHOOL = {Universit\'e Paris-Sud},
YEAR = 1999,
MONTH = {July},
URL = {http://www.lri.fr/~filliatr/ftp/publis/these.ps.gz},
ABSTRACT = {Nous étudions le problème de la certification de programmes mêlant
traits impératifs et fonctionnels dans le cadre de la théorie des
types.
La théorie des types constitue un puissant langage de spécification,
naturellement adapté à la preuve de programmes purement
fonctionnels. Pour y certifier également des programmes impératifs,
nous commençons par exprimer leur sémantique de manière purement
fonctionnelle. Cette traduction repose sur une analyse statique des
effets de bord des programmes, et sur l'utilisation de la notion de
monade, notion que nous raffinons en l'associant à la notion d'effet
de manière générale. Nous montrons que cette traduction est
sémantiquement correcte.
Puis, à partir d'un programme annoté, nous construisons une preuve
de sa spécification, traduite de manière fonctionnelle. Cette preuve
est bâtie sur la traduction fonctionnelle précédemment
introduite. Elle est presque toujours incomplète, les parties
manquantes étant autant d'obligations de preuve qui seront laissées
à la charge de l'utilisateur. Nous montrons que la validité de ces
obligations entraîne la correction totale du programme.
Nous avons implanté notre travail dans l'assistant de preuve
Coq, avec lequel il est dès à présent distribué. Cette
implantation se présente sous la forme d'une tactique prenant en
argument un programme annoté et engendrant les obligations de
preuve. Plusieurs algorithmes non triviaux ont été certifiés à
l'aide de cet outil (Find, Quicksort, Heapsort, algorithme de
Knuth-Morris-Pratt).}
}
@INPROCEEDINGS{FilliatreMagaud99,
AUTHOR = {J.-C. Filli\^atre and N. Magaud},
TITLE = {{Certification of sorting algorithms in the system Coq}},
BOOKTITLE = {Theorem Proving in Higher Order Logics:
Emerging Trends},
YEAR = 1999,
ABSTRACT = {We present the formal proofs of total correctness of three sorting
algorithms in the system Coq, namely \textit{insertion sort},
\textit{quicksort} and \textit{heapsort}. The implementations are
imperative programs working in-place on a given array. Those
developments demonstrate the usefulness of inductive types and higher-order
logic in the process of software certification. They also
show that the proof of rather complex algorithms may be done in a
small amount of time --- only a few days for each development ---
and without great difficulty.},
URL = {http://www.lri.fr/~filliatr/ftp/publis/Filliatre-Magaud.ps.gz}
}
@INPROCEEDINGS{Filliatre98,
AUTHOR = {J.-C. Filli\^atre},
TITLE = {{Proof of Imperative Programs in Type Theory}},
BOOKTITLE = {International Workshop, TYPES '98, Kloster Irsee, Germany},
PUBLISHER = {Springer-Verlag},
VOLUME = 1657,
SERIES = {Lecture Notes in Computer Science},
MONTH = MAR,
YEAR = {1998},
ABSTRACT = {We present a new approach to certifying imperative programs,
in the context of Type Theory.
The key is a functional translation of imperative programs, which is
made possible by an analysis of their effects.
On sequential imperative programs, we get the same proof
obligations as those given by Floyd-Hoare logic,
but our approach also includes functional constructions.
As a side-effect, we propose a way to eradicate the use of auxiliary
variables in specifications.
This work has been implemented in the Coq Proof Assistant and applied
on non-trivial examples.},
URL = {http://www.lri.fr/~filliatr/ftp/publis/types98.ps.gz}
}
@TECHREPORT{Filliatre97,
AUTHOR = {J.-C. Filli\^atre},
INSTITUTION = {LIP - ENS Lyon},
NUMBER = {97--04},
TITLE = {{Finite Automata Theory in Coq:
A constructive proof of Kleene's theorem}},
TYPE = {Research Report},
MONTH = {February},
YEAR = {1997},
ABSTRACT = {We describe here a development in the system Coq
of a piece of Finite Automata Theory. The main result is the Kleene's
theorem, expressing that regular expressions and finite automata
define the same languages. From a constructive proof of this result,
we automatically obtain a functional program that compiles any
regular expression into a finite automata, which constitutes the main
part of the implementation of {\tt grep}-like programs. This
functional program is obtained by the automatic method of {\em
extraction} which removes the logical parts of the proof to keep only
its informative contents. Starting with an idea of what we would
have written in ML, we write the specification and do the proofs in
such a way that we obtain the expected program, which is therefore
efficient.},
URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-04.ps.Z}
}
@TECHREPORT{Filliatre95,
AUTHOR = {J.-C. Filli\^atre},
INSTITUTION = {LIP - ENS Lyon},
NUMBER = {96--25},
TITLE = {{A decision procedure for Direct Predicate
Calculus: study and implementation in
the Coq system}},
TYPE = {Research Report},
MONTH = {February},
YEAR = {1995},
ABSTRACT = {The paper of J. Ketonen and R. Weyhrauch \emph{A
decidable fragment of Predicate Calculus} defines a decidable
fragment of first-order predicate logic - Direct Predicate Calculus
- as the subset which is provable in Gentzen sequent calculus
without the contraction rule, and gives an effective decision
procedure for it. This report is a detailed study of this
procedure. We extend the decidability to non-prenex formulas. We
prove that the intuitionnistic fragment is still decidable, with a
refinement of the same procedure. An intuitionnistic version has
been implemented in the Coq system using a translation into
natural deduction.},
URL = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR96/RR96-25.ps.Z}
}
@TECHREPORT{Filliatre94,
AUTHOR = {J.-C. Filli\^atre},
MONTH = {Juillet},
INSTITUTION = {Ecole Normale Sup\'erieure},
TITLE = {{Une proc\'edure de d\'ecision pour le Calcul des Pr\'edicats Direct~: \'etude et impl\'ementation dans le syst\`eme Coq}},
TYPE = {Rapport de {DEA}},
YEAR = {1994},
URL = {ftp://ftp.lri.fr/LRI/articles/filliatr/memoire.dvi.gz}
}
@TECHREPORT{CourantFilliatre93,
AUTHOR = {J. Courant et J.-C. Filli\^atre},
MONTH = {Septembre},
INSTITUTION = {Ecole Normale Sup\'erieure},
TITLE = {{Formalisation de la th\'eorie des langages
formels en Coq}},
TYPE = {Rapport de ma\^{\i}trise},
YEAR = {1993},
URL = {http://www.ens-lyon.fr/~jcourant/stage_maitrise.dvi.gz},
URL2 = {http://www.ens-lyon.fr/~jcourant/stage_maitrise.ps.gz}
}
@INPROCEEDINGS{tphols2000-Letouzey,
crossref = "tphols2000",
title = "Formalizing {S}t{\aa}lmarck's algorithm in {C}oq",
author = "Pierre Letouzey and Laurent Th{\'e}ry",
pages = "387--404"}
@PROCEEDINGS{tphols2000,
editor = "J. Harrison and M. Aagaard",
booktitle = "Theorem Proving in Higher Order Logics:
13th International Conference, TPHOLs 2000",
series = "Lecture Notes in Computer Science",
volume = 1869,
year = 2000,
publisher = "Springer-Verlag"}
@InCollection{howe,
author = {Doug Howe},
title = {Computation Meta theory in Nuprl},
booktitle = {The Proceedings of the Ninth International Conference of Autom
ated Deduction},
volume = {310},
editor = {E. Lusk and R. Overbeek},
publisher = {Springer-Verlag},
pages = {238--257},
year = {1988}
}
@TechReport{harrison,
author = {John Harrison},
title = {Meta theory and Reflection in Theorem Proving:a Survey and Cri
tique},
institution = {SRI International Cambridge Computer Science Research Center},
year = {1995},
number = {CRC-053}
}
@InCollection{cc,
author = {Thierry Coquand and Gérard Huet},
title = {The Calculus of Constructions},
booktitle = {Information and Computation},
year = {1988},
volume = {76},
number = {2/3}
}
@InProceedings{coquandcci,
author = {Thierry Coquand and Christine Paulin-Mohring},
title = {Inductively defined types},
booktitle = {Proceedings of Colog'88},
year = {1990},
editor = {P. Martin-Löf and G. Mints},
volume = {417},
series = {LNCS},
publisher = {Springer-Verlag}
}
@InProceedings{boutin,
author = {Samuel Boutin},
title = {Using reflection to build efficient and certified decision pro
cedures.},
booktitle = {Proceedings of TACS'97},
year = {1997},
editor = {M. Abadi and T. Ito},
volume = {1281},
series = {LNCS},
publisher = {Springer-Verlag}
}
@Manual{Coq:manual,
title = {The Coq proof assistant reference manual},
author = {\mbox{The Coq development team}},
organization = {LogiCal Project},
note = {Version 8.0},
year = {2004},
url = "http://coq.inria.fr"
}
@string{jfp = "Journal of Functional Programming"}
@STRING{lncs="Lecture Notes in Computer Science"}
@STRING{lnai="Lecture Notes in Artificial Intelligence"}
@string{SV = "{Sprin\-ger-Verlag}"}
@INPROCEEDINGS{Aud91,
AUTHOR = {Ph. Audebaud},
BOOKTITLE = {Proceedings of the sixth Conf. on Logic in Computer Science.},
PUBLISHER = {IEEE},
TITLE = {Partial {Objects} in the {Calculus of Constructions}},
YEAR = {1991}
}
@PHDTHESIS{Aud92,
AUTHOR = {Ph. Audebaud},
SCHOOL = {{Universit\'e} Bordeaux I},
TITLE = {Extension du Calcul des Constructions par Points fixes},
YEAR = {1992}
}
@INPROCEEDINGS{Audebaud92b,
AUTHOR = {Ph. Audebaud},
BOOKTITLE = {{Proceedings of the 1992 Workshop on Types for Proofs and Programs}},
EDITOR = {{B. Nordstr\"om and K. Petersson and G. Plotkin}},
NOTE = {Also Research Report LIP-ENS-Lyon},
PAGES = {pp 21--34},
TITLE = {{CC+ : an extension of the Calculus of Constructions with fixpoints}},
YEAR = {1992}
}
@INPROCEEDINGS{Augustsson85,
AUTHOR = {L. Augustsson},
TITLE = {{Compiling Pattern Matching}},
BOOKTITLE = {Conference Functional Programming and
Computer Architecture},
YEAR = {1985}
}
@ARTICLE{BaCo85,
AUTHOR = {J.L. Bates and R.L. Constable},
JOURNAL = {ACM transactions on Programming Languages and Systems},
TITLE = {Proofs as {Programs}},
VOLUME = {7},
YEAR = {1985}
}
@BOOK{Bar81,
AUTHOR = {H.P. Barendregt},
PUBLISHER = {North-Holland},
TITLE = {The Lambda Calculus its Syntax and Semantics},
YEAR = {1981}
}
@TECHREPORT{Bar91,
AUTHOR = {H. Barendregt},
INSTITUTION = {Catholic University Nijmegen},
NOTE = {In Handbook of Logic in Computer Science, Vol II},
NUMBER = {91-19},
TITLE = {Lambda {Calculi with Types}},
YEAR = {1991}
}
@ARTICLE{BeKe92,
AUTHOR = {G. Bellin and J. Ketonen},
JOURNAL = {Theoretical Computer Science},
PAGES = {115--142},
TITLE = {A decision procedure revisited : Notes on direct logic, linear logic and its implementation},
VOLUME = {95},
YEAR = {1992}
}
@BOOK{Bee85,
AUTHOR = {M.J. Beeson},
PUBLISHER = SV,
TITLE = {Foundations of Constructive Mathematics, Metamathematical Studies},
YEAR = {1985}
}
@BOOK{Bis67,
AUTHOR = {E. Bishop},
PUBLISHER = {McGraw-Hill},
TITLE = {Foundations of Constructive Analysis},
YEAR = {1967}
}
@BOOK{BoMo79,
AUTHOR = {R.S. Boyer and J.S. Moore},
KEY = {BoMo79},
PUBLISHER = {Academic Press},
SERIES = {ACM Monograph},
TITLE = {A computational logic},
YEAR = {1979}
}
@MASTERSTHESIS{Bou92,
AUTHOR = {S. Boutin},
MONTH = sep,
SCHOOL = {{Universit\'e Paris 7}},
TITLE = {Certification d'un compilateur {ML en Coq}},
YEAR = {1992}
}
@inproceedings{Bou97,
title = {Using reflection to build efficient and certified decision procedure
s},
author = {S. Boutin},
booktitle = {TACS'97},
editor = {Martin Abadi and Takahashi Ito},
publisher = SV,
series = lncs,
volume=1281,
PS={http://pauillac.inria.fr/~boutin/public_w/submitTACS97.ps.gz},
year = {1997}
}
@PhdThesis{Bou97These,
author = {S. Boutin},
title = {R\'eflexions sur les quotients},
school = {Paris 7},
year = 1997,
type = {th\`ese d'Universit\'e},
month = apr
}
@ARTICLE{Bru72,
AUTHOR = {N.J. de Bruijn},
JOURNAL = {Indag. Math.},
TITLE = {{Lambda-Calculus Notation with Nameless Dummies, a Tool for Automatic Formula Manipulation, with Application to the Church-Rosser Theorem}},
VOLUME = {34},
YEAR = {1972}
}
@INCOLLECTION{Bru80,
AUTHOR = {N.J. de Bruijn},
BOOKTITLE = {to H.B. Curry : Essays on Combinatory Logic, Lambda Calculus and Formalism.},
EDITOR = {J.P. Seldin and J.R. Hindley},
PUBLISHER = {Academic Press},
TITLE = {A survey of the project {Automath}},
YEAR = {1980}
}
@TECHREPORT{COQ93,
AUTHOR = {G. Dowek and A. Felty and H. Herbelin and G. Huet and C. Murthy and C. Parent and C. Paulin-Mohring and B. Werner},
INSTITUTION = {INRIA},
MONTH = may,
NUMBER = {154},
TITLE = {{The Coq Proof Assistant User's Guide Version 5.8}},
YEAR = {1993}
}
@TECHREPORT{CPar93,
AUTHOR = {C. Parent},
INSTITUTION = {Ecole {Normale} {Sup\'erieure} de {Lyon}},
MONTH = oct,
NOTE = {Also in~\cite{Nijmegen93}},
NUMBER = {93-29},
TITLE = {Developing certified programs in the system {Coq}- {The} {Program} tactic},
YEAR = {1993}
}
@PHDTHESIS{CPar95,
AUTHOR = {C. Parent},
SCHOOL = {Ecole {Normale} {Sup\'erieure} de {Lyon}},
TITLE = {{Synth\`ese de preuves de programmes dans le Calcul des Constructions Inductives}},
YEAR = {1995}
}
@BOOK{Caml,
AUTHOR = {P. Weis and X. Leroy},
PUBLISHER = {InterEditions},
TITLE = {Le langage Caml},
YEAR = {1993}
}
@INPROCEEDINGS{ChiPotSimp03,
AUTHOR = {Laurent Chicli and Lo\"{\i}c Pottier and Carlos Simpson},
ADDRESS = {Berg en Dal, The Netherlands},
TITLE = {Mathematical Quotients and Quotient Types in Coq},
BOOKTITLE = {TYPES'02},
PUBLISHER = SV,
SERIES = LNCS,
VOLUME = {2646},
YEAR = {2003}
}
@TECHREPORT{CoC89,
AUTHOR = {Projet Formel},
INSTITUTION = {INRIA},
NUMBER = {110},
TITLE = {{The Calculus of Constructions. Documentation and user's guide, Version 4.10}},
YEAR = {1989}
}
@INPROCEEDINGS{CoHu85a,
AUTHOR = {Thierry Coquand and Gérard Huet},
ADDRESS = {Linz},
BOOKTITLE = {EUROCAL'85},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {{Constructions : A Higher Order Proof System for Mechanizing Mathematics}},
VOLUME = {203},
YEAR = {1985}
}
@INPROCEEDINGS{CoHu85b,
AUTHOR = {Thierry Coquand and Gérard Huet},
BOOKTITLE = {Logic Colloquium'85},
EDITOR = {The Paris Logic Group},
PUBLISHER = {North-Holland},
TITLE = {{Concepts Math\'ematiques et Informatiques formalis\'es dans le Calcul des Constructions}},
YEAR = {1987}
}
@ARTICLE{CoHu86,
AUTHOR = {Thierry Coquand and Gérard Huet},
JOURNAL = {Information and Computation},
NUMBER = {2/3},
TITLE = {The {Calculus of Constructions}},
VOLUME = {76},
YEAR = {1988}
}
@INPROCEEDINGS{CoPa89,
AUTHOR = {Thierry Coquand and Christine Paulin-Mohring},
BOOKTITLE = {Proceedings of Colog'88},
EDITOR = {P. Martin-L\"of and G. Mints},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {Inductively defined types},
VOLUME = {417},
YEAR = {1990}
}
@BOOK{Con86,
AUTHOR = {R.L. {Constable et al.}},
PUBLISHER = {Prentice-Hall},
TITLE = {{Implementing Mathematics with the Nuprl Proof Development System}},
YEAR = {1986}
}
@PHDTHESIS{Coq85,
AUTHOR = {Thierry Coquand},
MONTH = jan,
SCHOOL = {Universit\'e Paris~7},
TITLE = {Une Th\'eorie des Constructions},
YEAR = {1985}
}
@INPROCEEDINGS{Coq86,
AUTHOR = {Thierry Coquand},
ADDRESS = {Cambridge, MA},
BOOKTITLE = {Symposium on Logic in Computer Science},
PUBLISHER = {IEEE Computer Society Press},
TITLE = {{An Analysis of Girard's Paradox}},
YEAR = {1986}
}
@INPROCEEDINGS{Coq90,
AUTHOR = {Thierry Coquand},
BOOKTITLE = {Logic and Computer Science},
EDITOR = {P. Oddifredi},
NOTE = {INRIA Research Report 1088, also in~\cite{CoC89}},
PUBLISHER = {Academic Press},
TITLE = {{Metamathematical Investigations of a Calculus of Constructions}},
YEAR = {1990}
}
@INPROCEEDINGS{Coq91,
AUTHOR = {Thierry Coquand},
BOOKTITLE = {Proceedings 9th Int. Congress of Logic, Methodology and Philosophy of Science},
TITLE = {{A New Paradox in Type Theory}},
MONTH = {August},
YEAR = {1991}
}
@INPROCEEDINGS{Coq92,
AUTHOR = {Thierry Coquand},
TITLE = {{Pattern Matching with Dependent Types}},
YEAR = {1992},
crossref = {Bastad92}
}
@INPROCEEDINGS{Coquand93,
AUTHOR = {Thierry Coquand},
TITLE = {{Infinite Objects in Type Theory}},
YEAR = {1993},
crossref = {Nijmegen93}
}
@MASTERSTHESIS{Cou94a,
AUTHOR = {J. Courant},
MONTH = sep,
SCHOOL = {DEA d'Informatique, ENS Lyon},
TITLE = {Explicitation de preuves par r\'ecurrence implicite},
YEAR = {1994}
}
@INPROCEEDINGS{Del99,
author = "Delahaye, D.",
title = "Information Retrieval in a Coq Proof Library using
Type Isomorphisms",
booktitle = {Proceedings of TYPES'99, L\"okeberg},
publisher = SV,
series = lncs,
year = "1999",
url =
"\\{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
"{\sf TYPES99-SIsos.ps.gz}"
}
@INPROCEEDINGS{Del00,
author = "Delahaye, D.",
title = "A {T}actic {L}anguage for the {S}ystem {{\sf Coq}}",
booktitle = "Proceedings of Logic for Programming and Automated Reasoning
(LPAR), Reunion Island",
publisher = SV,
series = LNCS,
volume = "1955",
pages = "85--95",
month = "November",
year = "2000",
url =
"{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
"{\sf LPAR2000-ltac.ps.gz}"
}
@INPROCEEDINGS{DelMay01,
author = "Delahaye, D. and Mayero, M.",
title = {{\tt Field}: une proc\'edure de d\'ecision pour les nombres r\'eels
en {\Coq}},
booktitle = "Journ\'ees Francophones des Langages Applicatifs, Pontarlier",
publisher = "INRIA",
month = "Janvier",
year = "2001",
url =
"\\{\sf ftp://ftp.inria.fr/INRIA/Projects/coq/David.Delahaye/papers/}"#
"{\sf JFLA2000-Field.ps.gz}"
}
@TECHREPORT{Dow90,
AUTHOR = {G. Dowek},
INSTITUTION = {INRIA},
NUMBER = {1283},
TITLE = {Naming and Scoping in a Mathematical Vernacular},
TYPE = {Research Report},
YEAR = {1990}
}
@ARTICLE{Dow91a,
AUTHOR = {G. Dowek},
JOURNAL = {Compte-Rendus de l'Acad\'emie des Sciences},
NOTE = {The undecidability of Third Order Pattern Matching in Calculi with Dependent Types or Type Constructors},
NUMBER = {12},
PAGES = {951--956},
TITLE = {L'Ind\'ecidabilit\'e du Filtrage du Troisi\`eme Ordre dans les Calculs avec Types D\'ependants ou Constructeurs de Types},
VOLUME = {I, 312},
YEAR = {1991}
}
@INPROCEEDINGS{Dow91b,
AUTHOR = {G. Dowek},
BOOKTITLE = {Proceedings of Mathematical Foundation of Computer Science},
NOTE = {Also INRIA Research Report},
PAGES = {151--160},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {A Second Order Pattern Matching Algorithm in the Cube of Typed $\lambda$-calculi},
VOLUME = {520},
YEAR = {1991}
}
@PHDTHESIS{Dow91c,
AUTHOR = {G. Dowek},
MONTH = dec,
SCHOOL = {Universit\'e Paris 7},
TITLE = {D\'emonstration automatique dans le Calcul des Constructions},
YEAR = {1991}
}
@article{Dow92a,
AUTHOR = {G. Dowek},
TITLE = {The Undecidability of Pattern Matching in Calculi where Primitive Recursive Functions are Representable},
YEAR = 1993,
journal = tcs,
volume = 107,
number = 2,
pages = {349-356}
}
@ARTICLE{Dow94a,
AUTHOR = {G. Dowek},
JOURNAL = {Annals of Pure and Applied Logic},
VOLUME = {69},
PAGES = {135--155},
TITLE = {Third order matching is decidable},
YEAR = {1994}
}
@INPROCEEDINGS{Dow94b,
AUTHOR = {G. Dowek},
BOOKTITLE = {Proceedings of the second international conference on typed lambda calculus and applications},
TITLE = {Lambda-calculus, Combinators and the Comprehension Schema},
YEAR = {1995}
}
@INPROCEEDINGS{Dyb91,
AUTHOR = {P. Dybjer},
BOOKTITLE = {Logical Frameworks},
EDITOR = {G. Huet and G. Plotkin},
PAGES = {59--79},
PUBLISHER = {Cambridge University Press},
TITLE = {Inductive sets and families in {Martin-L{\"o}f's}
Type Theory and their set-theoretic semantics: An inversion principle for {Martin-L\"of's} type theory},
VOLUME = {14},
YEAR = {1991}
}
@ARTICLE{Dyc92,
AUTHOR = {Roy Dyckhoff},
JOURNAL = {The Journal of Symbolic Logic},
MONTH = sep,
NUMBER = {3},
TITLE = {Contraction-free sequent calculi for intuitionistic logic},
VOLUME = {57},
YEAR = {1992}
}
@MASTERSTHESIS{Fil94,
AUTHOR = {J.-C. Filli\^atre},
MONTH = sep,
SCHOOL = {DEA d'Informatique, ENS Lyon},
TITLE = {Une proc\'edure de d\'ecision pour le Calcul des Pr\'edicats Direct. {\'E}tude et impl\'ementation dans le syst\`eme {\Coq}},
YEAR = {1994}
}
@TECHREPORT{Filliatre95,
AUTHOR = {J.-C. Filli\^atre},
INSTITUTION = {LIP-ENS-Lyon},
TITLE = {A decision procedure for Direct Predicate Calculus},
TYPE = {Research report},
NUMBER = {96--25},
YEAR = {1995}
}
@Article{Filliatre03jfp,
author = {J.-C. Filli{\^a}tre},
title = {Verification of Non-Functional Programs
using Interpretations in Type Theory},
journal = jfp,
volume = 13,
number = 4,
pages = {709--745},
month = jul,
year = 2003,
note = {[English translation of \cite{Filliatre99}]},
url = {http://www.lri.fr/~filliatr/ftp/publis/jphd.ps.gz},
topics = "team, lri",
type_publi = "irevcomlec"
}
@PhdThesis{Filliatre99,
author = {J.-C. Filli\^atre},
title = {Preuve de programmes imp\'eratifs en th\'eorie des types},
type = {Th{\`e}se de Doctorat},
school = {Universit\'e Paris-Sud},
year = 1999,
month = {July},
url = {\url{http://www.lri.fr/~filliatr/ftp/publis/these.ps.gz}}
}
@Unpublished{Filliatre99c,
author = {J.-C. Filli\^atre},
title = {{Formal Proof of a Program: Find}},
month = {January},
year = 2000,
note = {Submitted to \emph{Science of Computer Programming}},
url = {\url{http://www.lri.fr/~filliatr/ftp/publis/find.ps.gz}}
}
@InProceedings{FilliatreMagaud99,
author = {J.-C. Filli\^atre and N. Magaud},
title = {Certification of sorting algorithms in the system {\Coq}},
booktitle = {Theorem Proving in Higher Order Logics:
Emerging Trends},
year = 1999,
url = {\url{http://www.lri.fr/~filliatr/ftp/publis/Filliatre-Magaud.ps.gz}}
}
@UNPUBLISHED{Fle90,
AUTHOR = {E. Fleury},
MONTH = jul,
NOTE = {Rapport de Stage},
TITLE = {Implantation des algorithmes de {Floyd et de Dijkstra} dans le {Calcul des Constructions}},
YEAR = {1990}
}
@BOOK{Fourier,
AUTHOR = {Jean-Baptiste-Joseph Fourier},
PUBLISHER = {Gauthier-Villars},
TITLE = {Fourier's method to solve linear
inequations/equations systems.},
YEAR = {1890}
}
@INPROCEEDINGS{Gim94,
AUTHOR = {Eduardo Gim\'enez},
BOOKTITLE = {Types'94 : Types for Proofs and Programs},
NOTE = {Extended version in LIP research report 95-07, ENS Lyon},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {Codifying guarded definitions with recursive schemes},
VOLUME = {996},
YEAR = {1994}
}
@TechReport{Gim98,
author = {E. Gim\'enez},
title = {A Tutorial on Recursive Types in Coq},
institution = {INRIA},
year = 1998,
month = mar
}
@INPROCEEDINGS{Gimenez95b,
AUTHOR = {E. Gim\'enez},
BOOKTITLE = {Workshop on Types for Proofs and Programs},
SERIES = LNCS,
NUMBER = {1158},
PAGES = {135-152},
TITLE = {An application of co-Inductive types in Coq:
verification of the Alternating Bit Protocol},
EDITORS = {S. Berardi and M. Coppo},
PUBLISHER = SV,
YEAR = {1995}
}
@INPROCEEDINGS{Gir70,
AUTHOR = {Jean-Yves Girard},
BOOKTITLE = {Proceedings of the 2nd Scandinavian Logic Symposium},
PUBLISHER = {North-Holland},
TITLE = {Une extension de l'interpr\'etation de {G\"odel} \`a l'analyse, et son application \`a l'\'elimination des coupures dans l'analyse et la th\'eorie des types},
YEAR = {1970}
}
@PHDTHESIS{Gir72,
AUTHOR = {Jean-Yves Girard},
SCHOOL = {Universit\'e Paris~7},
TITLE = {Interpr\'etation fonctionnelle et \'elimination des coupures de l'arithm\'etique d'ordre sup\'erieur},
YEAR = {1972}
}
@BOOK{Gir89,
AUTHOR = {Jean-Yves Girard and Yves Lafont and Paul Taylor},
PUBLISHER = {Cambridge University Press},
SERIES = {Cambridge Tracts in Theoretical Computer Science 7},
TITLE = {Proofs and Types},
YEAR = {1989}
}
@TechReport{Har95,
author = {John Harrison},
title = {Metatheory and Reflection in Theorem Proving: A Survey and Critique},
institution = {SRI International Cambridge Computer Science Research Centre,},
year = 1995,
type = {Technical Report},
number = {CRC-053},
abstract = {http://www.cl.cam.ac.uk/users/jrh/papers.html}
}
@MASTERSTHESIS{Hir94,
AUTHOR = {Daniel Hirschkoff},
MONTH = sep,
SCHOOL = {DEA IARFA, Ecole des Ponts et Chauss\'ees, Paris},
TITLE = {{\'E}criture d'une tactique arithm\'etique pour le syst\`eme {\Coq}},
YEAR = {1994}
}
@INPROCEEDINGS{HofStr98,
AUTHOR = {Martin Hofmann and Thomas Streicher},
TITLE = {The groupoid interpretation of type theory},
BOOKTITLE = {Proceedings of the meeting Twenty-five years of constructive type theory},
PUBLISHER = {Oxford University Press},
YEAR = {1998}
}
@INCOLLECTION{How80,
AUTHOR = {W.A. Howard},
BOOKTITLE = {to H.B. Curry : Essays on Combinatory Logic, Lambda Calculus and Formalism.},
EDITOR = {J.P. Seldin and J.R. Hindley},
NOTE = {Unpublished 1969 Manuscript},
PUBLISHER = {Academic Press},
TITLE = {The Formulae-as-Types Notion of Constructions},
YEAR = {1980}
}
@InProceedings{Hue87tapsoft,
author = {G. Huet},
title = {Programming of Future Generation Computers},
booktitle = {Proceedings of TAPSOFT87},
series = LNCS,
volume = 249,
pages = {276--286},
year = 1987,
publisher = SV
}
@INPROCEEDINGS{Hue87,
AUTHOR = {G. Huet},
BOOKTITLE = {Programming of Future Generation Computers},
EDITOR = {K. Fuchi and M. Nivat},
NOTE = {Also in \cite{Hue87tapsoft}},
PUBLISHER = {Elsevier Science},
TITLE = {Induction Principles Formalized in the {Calculus of Constructions}},
YEAR = {1988}
}
@INPROCEEDINGS{Hue88,
AUTHOR = {G. Huet},
BOOKTITLE = {A perspective in Theoretical Computer Science. Commemorative Volume for Gift Siromoney},
EDITOR = {R. Narasimhan},
NOTE = {Also in~\cite{CoC89}},
PUBLISHER = {World Scientific Publishing},
TITLE = {{The Constructive Engine}},
YEAR = {1989}
}
@BOOK{Hue89,
EDITOR = {G. Huet},
PUBLISHER = {Addison-Wesley},
SERIES = {The UT Year of Programming Series},
TITLE = {Logical Foundations of Functional Programming},
YEAR = {1989}
}
@INPROCEEDINGS{Hue92,
AUTHOR = {G. Huet},
BOOKTITLE = {Proceedings of 12th FST/TCS Conference, New Delhi},
PAGES = {229--240},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {The Gallina Specification Language : A case study},
VOLUME = {652},
YEAR = {1992}
}
@ARTICLE{Hue94,
AUTHOR = {G. Huet},
JOURNAL = {J. Functional Programming},
PAGES = {371--394},
PUBLISHER = {Cambridge University Press},
TITLE = {Residual theory in $\lambda$-calculus: a formal development},
VOLUME = {4,3},
YEAR = {1994}
}
@INCOLLECTION{HuetLevy79,
AUTHOR = {G. Huet and J.-J. L\'{e}vy},
TITLE = {Call by Need Computations in Non-Ambigous
Linear Term Rewriting Systems},
NOTE = {Also research report 359, INRIA, 1979},
BOOKTITLE = {Computational Logic, Essays in Honor of
Alan Robinson},
EDITOR = {J.-L. Lassez and G. Plotkin},
PUBLISHER = {The MIT press},
YEAR = {1991}
}
@ARTICLE{KeWe84,
AUTHOR = {J. Ketonen and R. Weyhrauch},
JOURNAL = {Theoretical Computer Science},
PAGES = {297--307},
TITLE = {A decidable fragment of {P}redicate {C}alculus},
VOLUME = {32},
YEAR = {1984}
}
@BOOK{Kle52,
AUTHOR = {S.C. Kleene},
PUBLISHER = {North-Holland},
SERIES = {Bibliotheca Mathematica},
TITLE = {Introduction to Metamathematics},
YEAR = {1952}
}
@BOOK{Kri90,
AUTHOR = {J.-L. Krivine},
PUBLISHER = {Masson},
SERIES = {Etudes et recherche en informatique},
TITLE = {Lambda-calcul {types et mod\`eles}},
YEAR = {1990}
}
@BOOK{LE92,
EDITOR = {G. Huet and G. Plotkin},
PUBLISHER = {Cambridge University Press},
TITLE = {Logical Environments},
YEAR = {1992}
}
@BOOK{LF91,
EDITOR = {G. Huet and G. Plotkin},
PUBLISHER = {Cambridge University Press},
TITLE = {Logical Frameworks},
YEAR = {1991}
}
@ARTICLE{Laville91,
AUTHOR = {A. Laville},
TITLE = {Comparison of Priority Rules in Pattern
Matching and Term Rewriting},
JOURNAL = {Journal of Symbolic Computation},
VOLUME = {11},
PAGES = {321--347},
YEAR = {1991}
}
@INPROCEEDINGS{LePa94,
AUTHOR = {F. Leclerc and C. Paulin-Mohring},
BOOKTITLE = {{Types for Proofs and Programs, Types' 93}},
EDITOR = {H. Barendregt and T. Nipkow},
PUBLISHER = SV,
SERIES = {LNCS},
TITLE = {{Programming with Streams in Coq. A case study : The Sieve of Eratosthenes}},
VOLUME = {806},
YEAR = {1994}
}
@TECHREPORT{Leroy90,
AUTHOR = {X. Leroy},
TITLE = {The {ZINC} experiment: an economical implementation
of the {ML} language},
INSTITUTION = {INRIA},
NUMBER = {117},
YEAR = {1990}
}
@INPROCEEDINGS{Let02,
author = {P. Letouzey},
title = {A New Extraction for Coq},
booktitle = {Proceedings of the TYPES'2002 workshop},
year = 2002,
note = {to appear},
url = {draft at \url{http://www.lri.fr/~letouzey/download/extraction2002.ps.gz}}
}
@BOOK{MaL84,
AUTHOR = {{P. Martin-L\"of}},
PUBLISHER = {Bibliopolis},
SERIES = {Studies in Proof Theory},
TITLE = {Intuitionistic Type Theory},
YEAR = {1984}
}
@ARTICLE{MaSi94,
AUTHOR = {P. Manoury and M. Simonot},
JOURNAL = {TCS},
TITLE = {Automatizing termination proof of recursively defined function},
YEAR = {To appear}
}
@INPROCEEDINGS{Moh89a,
AUTHOR = {Christine Paulin-Mohring},
ADDRESS = {Austin},
BOOKTITLE = {Sixteenth Annual ACM Symposium on Principles of Programming Languages},
MONTH = jan,
PUBLISHER = {ACM},
TITLE = {Extracting ${F}_{\omega}$'s programs from proofs in the {Calculus of Constructions}},
YEAR = {1989}
}
@PHDTHESIS{Moh89b,
AUTHOR = {Christine Paulin-Mohring},
MONTH = jan,
SCHOOL = {{Universit\'e Paris 7}},
TITLE = {Extraction de programmes dans le {Calcul des Constructions}},
YEAR = {1989}
}
@INPROCEEDINGS{Moh93,
AUTHOR = {Christine Paulin-Mohring},
BOOKTITLE = {Proceedings of the conference Typed Lambda Calculi and Applications},
EDITOR = {M. Bezem and J.-F. Groote},
NOTE = {Also LIP research report 92-49, ENS Lyon},
NUMBER = {664},
PUBLISHER = SV,
SERIES = {LNCS},
TITLE = {{Inductive Definitions in the System Coq - Rules and Properties}},
YEAR = {1993}
}
@BOOK{Moh97,
AUTHOR = {Christine Paulin-Mohring},
MONTH = jan,
PUBLISHER = {{ENS Lyon}},
TITLE = {{Le syst\`eme Coq. \mbox{Th\`ese d'habilitation}}},
YEAR = {1997}
}
@MASTERSTHESIS{Mun94,
AUTHOR = {C. Mu{\~n}oz},
MONTH = sep,
SCHOOL = {DEA d'Informatique Fondamentale, Universit\'e Paris 7},
TITLE = {D\'emonstration automatique dans la logique propositionnelle intuitionniste},
YEAR = {1994}
}
@PHDTHESIS{Mun97d,
AUTHOR = "C. Mu{\~{n}}oz",
TITLE = "Un calcul de substitutions pour la repr\'esentation
de preuves partielles en th\'eorie de types",
SCHOOL = {Universit\'e Paris 7},
YEAR = "1997",
Note = {Version en anglais disponible comme rapport de
recherche INRIA RR-3309},
Type = {Th\`ese de Doctorat}
}
@BOOK{NoPS90,
AUTHOR = {B. {Nordstr\"om} and K. Peterson and J. Smith},
BOOKTITLE = {Information Processing 83},
PUBLISHER = {Oxford Science Publications},
SERIES = {International Series of Monographs on Computer Science},
TITLE = {Programming in {Martin-L\"of's} Type Theory},
YEAR = {1990}
}
@ARTICLE{Nor88,
AUTHOR = {B. {Nordstr\"om}},
JOURNAL = {BIT},
TITLE = {Terminating General Recursion},
VOLUME = {28},
YEAR = {1988}
}
@BOOK{Odi90,
EDITOR = {P. Odifreddi},
PUBLISHER = {Academic Press},
TITLE = {Logic and Computer Science},
YEAR = {1990}
}
@INPROCEEDINGS{PaMS92,
AUTHOR = {M. Parigot and P. Manoury and M. Simonot},
ADDRESS = {St. Petersburg, Russia},
BOOKTITLE = {Logic Programming and automated reasoning},
EDITOR = {A. Voronkov},
MONTH = jul,
NUMBER = {624},
PUBLISHER = SV,
SERIES = {LNCS},
TITLE = {{ProPre : A Programming language with proofs}},
YEAR = {1992}
}
@ARTICLE{PaWe92,
AUTHOR = {Christine Paulin-Mohring and Benjamin Werner},
JOURNAL = {Journal of Symbolic Computation},
PAGES = {607--640},
TITLE = {{Synthesis of ML programs in the system Coq}},
VOLUME = {15},
YEAR = {1993}
}
@ARTICLE{Par92,
AUTHOR = {M. Parigot},
JOURNAL = {Theoretical Computer Science},
NUMBER = {2},
PAGES = {335--356},
TITLE = {{Recursive Programming with Proofs}},
VOLUME = {94},
YEAR = {1992}
}
@INPROCEEDINGS{Parent95b,
AUTHOR = {C. Parent},
BOOKTITLE = {{Mathematics of Program Construction'95}},
PUBLISHER = SV,
SERIES = {LNCS},
TITLE = {{Synthesizing proofs from programs in
the Calculus of Inductive Constructions}},
VOLUME = {947},
YEAR = {1995}
}
@INPROCEEDINGS{Prasad93,
AUTHOR = {K.V. Prasad},
BOOKTITLE = {{Proceedings of CONCUR'93}},
PUBLISHER = SV,
SERIES = {LNCS},
TITLE = {{Programming with broadcasts}},
VOLUME = {715},
YEAR = {1993}
}
@BOOK{RC95,
author = "di~Cosmo, R.",
title = "Isomorphisms of Types: from $\lambda$-calculus to information
retrieval and language design",
series = "Progress in Theoretical Computer Science",
publisher = "Birkhauser",
year = "1995",
note = "ISBN-0-8176-3763-X"
}
@TECHREPORT{Rou92,
AUTHOR = {J. Rouyer},
INSTITUTION = {INRIA},
MONTH = nov,
NUMBER = {1795},
TITLE = {{D{\'e}veloppement de l'Algorithme d'Unification dans le Calcul des Constructions}},
YEAR = {1992}
}
@TECHREPORT{Saibi94,
AUTHOR = {A. Sa\"{\i}bi},
INSTITUTION = {INRIA},
MONTH = dec,
NUMBER = {2345},
TITLE = {{Axiomatization of a lambda-calculus with explicit-substitutions in the Coq System}},
YEAR = {1994}
}
@MASTERSTHESIS{Ter92,
AUTHOR = {D. Terrasse},
MONTH = sep,
SCHOOL = {IARFA},
TITLE = {{Traduction de TYPOL en COQ. Application \`a Mini ML}},
YEAR = {1992}
}
@TECHREPORT{ThBeKa92,
AUTHOR = {L. Th\'ery and Y. Bertot and G. Kahn},
INSTITUTION = {INRIA Sophia},
MONTH = may,
NUMBER = {1684},
TITLE = {Real theorem provers deserve real user-interfaces},
TYPE = {Research Report},
YEAR = {1992}
}
@BOOK{TrDa89,
AUTHOR = {A.S. Troelstra and D. van Dalen},
PUBLISHER = {North-Holland},
SERIES = {Studies in Logic and the foundations of Mathematics, volumes 121 and 123},
TITLE = {Constructivism in Mathematics, an introduction},
YEAR = {1988}
}
@PHDTHESIS{Wer94,
AUTHOR = {B. Werner},
SCHOOL = {Universit\'e Paris 7},
TITLE = {Une th\'eorie des constructions inductives},
TYPE = {Th\`ese de Doctorat},
YEAR = {1994}
}
@PHDTHESIS{Bar99,
AUTHOR = {B. Barras},
SCHOOL = {Universit\'e Paris 7},
TITLE = {Auto-validation d'un système de preuves avec familles inductives},
TYPE = {Th\`ese de Doctorat},
YEAR = {1999}
}
@UNPUBLISHED{ddr98,
AUTHOR = {D. de Rauglaudre},
TITLE = {Camlp4 version 1.07.2},
YEAR = {1998},
NOTE = {In Camlp4 distribution}
}
@ARTICLE{dowek93,
AUTHOR = {G. Dowek},
TITLE = {{A Complete Proof Synthesis Method for the Cube of Type Systems}},
JOURNAL = {Journal Logic Computation},
VOLUME = {3},
NUMBER = {3},
PAGES = {287--315},
MONTH = {June},
YEAR = {1993}
}
@INPROCEEDINGS{manoury94,
AUTHOR = {P. Manoury},
TITLE = {{A User's Friendly Syntax to Define
Recursive Functions as Typed $\lambda-$Terms}},
BOOKTITLE = {{Types for Proofs and Programs, TYPES'94}},
SERIES = {LNCS},
VOLUME = {996},
MONTH = jun,
YEAR = {1994}
}
@TECHREPORT{maranget94,
AUTHOR = {L. Maranget},
INSTITUTION = {INRIA},
NUMBER = {2385},
TITLE = {{Two Techniques for Compiling Lazy Pattern Matching}},
YEAR = {1994}
}
@INPROCEEDINGS{puel-suarez90,
AUTHOR = {L.Puel and A. Su\'arez},
BOOKTITLE = {{Conference Lisp and Functional Programming}},
SERIES = {ACM},
PUBLISHER = SV,
TITLE = {{Compiling Pattern Matching by Term
Decomposition}},
YEAR = {1990}
}
@MASTERSTHESIS{saidi94,
AUTHOR = {H. Saidi},
MONTH = sep,
SCHOOL = {DEA d'Informatique Fondamentale, Universit\'e Paris 7},
TITLE = {R\'esolution d'\'equations dans le syst\`eme T
de G\"odel},
YEAR = {1994}
}
@misc{streicher93semantical,
author = "T. Streicher",
title = "Semantical Investigations into Intensional Type Theory",
note = "Habilitationsschrift, LMU Munchen.",
year = "1993" }
@Misc{Pcoq,
author = {Lemme Team},
title = {Pcoq a graphical user-interface for {Coq}},
note = {\url{http://www-sop.inria.fr/lemme/pcoq/}}
}
@Misc{ProofGeneral,
author = {David Aspinall},
title = {Proof General},
note = {\url{http://proofgeneral.inf.ed.ac.uk/}}
}
@Book{CoqArt,
author = {Yves bertot and Pierre Castéran},
title = {Coq'Art},
publisher = {Springer-Verlag},
year = 2004,
note = {To appear}
}
@INCOLLECTION{wadler87,
AUTHOR = {P. Wadler},
TITLE = {Efficient Compilation of Pattern Matching},
BOOKTITLE = {The Implementation of Functional Programming
Languages},
EDITOR = {S.L. Peyton Jones},
PUBLISHER = {Prentice-Hall},
YEAR = {1987}
}
@COMMENT{cross-references, must be at end}
@BOOK{Bastad92,
EDITOR = {B. Nordstr\"om and K. Petersson and G. Plotkin},
PUBLISHER = {Available by ftp at site ftp.inria.fr},
TITLE = {Proceedings of the 1992 Workshop on Types for Proofs and Programs},
YEAR = {1992}
}
@BOOK{Nijmegen93,
EDITOR = {H. Barendregt and T. Nipkow},
PUBLISHER = SV,
SERIES = LNCS,
TITLE = {Types for Proofs and Programs},
VOLUME = {806},
YEAR = {1994}
}
@PHDTHESIS{Luo90,
AUTHOR = {Z. Luo},
TITLE = {An Extended Calculus of Constructions},
SCHOOL = {University of Edinburgh},
YEAR = {1990}
}
|