-
1
-
-
32044456731
-
Justifying calculational logic by a conventional metalinguistic semantics
-
[AA99], Cornell University, Ithaca, New York, September
-
[AA99] Eric Aaron and Stuart Allen. Justifying calculational logic by a conventional metalinguistic semantics. Technical Report TR99-1771, Cornell University, Ithaca, New York, September 1999.
-
(1999)
Technical Report
, vol.TR99-1771
-
-
Aaron, E.1
Allen, S.2
-
2
-
-
32044439136
-
-
+05]
-
+05] Brian E. Aydemir, Aaron Bohannon, Matthew Fairbairn, J. Nathan Foster, Benjamin C. Pierce, Peter Sewell, Dimitrios Vytiniotis, Geoffrey Washburn, Stephanie Weirich, and Steve Zdancewic. Mechanized metatheory for the masses: The POPLmark challenge. Available from http://www.cis.upenn. edu/group/proj/plclub/mmm/,2005.
-
(2005)
Mechanized Metatheory for the Masses: The POPLmark Challenge
-
-
Aydemir, B.E.1
Bohannon, A.2
Fairbairn, M.3
Foster, J.N.4
Pierce, B.C.5
Sewell, P.6
Vytiniotis, D.7
Washburn, G.8
Weirich, S.9
Zdancewic, S.10
-
3
-
-
32044451998
-
Reflecting on NuPRL: Lessons 1-4
-
[AC92], Cornell University, Computer Science Department, Ithaca, NY
-
[AC92] William Aitken and Robert L. Constable. Reflecting on NuPRL: Lessons 1-4. Technical report, Cornell University, Computer Science Department, Ithaca, NY, 1992.
-
(1992)
Technical Report
-
-
Aitken, W.1
Constable, R.L.2
-
4
-
-
84937409452
-
The NuPRL open logical environment
-
th International Conference on Automated Deduction. Springer Verlag
-
th International Conference on Automated Deduction, volume 1831 of Lecture Notes in Artificial Intelligence, pages 170-176. Springer Verlag, 2000.
-
(2000)
Lecture Notes in Artificial Intelligence
, vol.1831
, pp. 170-176
-
-
Allen, S.1
Constable, R.2
Eaton, R.3
Kreitz, C.4
Lorigo, L.5
-
6
-
-
84945316033
-
Combining higher order abstract syntax with tactical theorem proving and (co)induction
-
[ACM02], London, UK. Springer-Verlag
-
[ACM02] Simon Ambler, Roy L. Crole, and Alberto Momigliano. Combining higher order abstract syntax with tactical theorem proving and (co)induction. In TPHOLs '02: Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics, pages 13-30, London, UK, 2002. Springer-Verlag.
-
(2002)
TPHOLs '02: Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics
, pp. 13-30
-
-
Ambler, S.1
Crole, R.L.2
Momigliano, A.3
-
8
-
-
0033077209
-
Metalogical frameworks II: Using reflected decision procedures
-
[ACU93]
-
[ACU93] William Aitken, Robert L. Constable, and Judith Underwood, Metalogical Frameworks II: Using reflected decision procedures. Journal of Automated Reasoning, 22(2):171-221, 1993.
-
(1993)
Journal of Automated Reasoning
, vol.22
, Issue.2
, pp. 171-221
-
-
Aitken, W.1
Constable, R.L.2
Underwood, J.3
-
9
-
-
0023272978
-
A non-type-theoretic definition of Martin-Löf's types
-
[All87a]. D. Gries, editor. IEEE Computer Society Press, June
-
nd IEEE Symposium on Logic in Computer Science, pages 215-224. IEEE Computer Society Press, June 1987.
-
(1987)
nd IEEE Symposium on Logic in Computer Science
, pp. 215-224
-
-
Allen, S.F.1
-
11
-
-
0040899999
-
On explicit reflection in theorem proving and formal verification
-
[Art99]
-
[Art99] Sergei Artemov. On explicit reflection in theorem proving and formal verification. In Ganzinger [Gan99], pages 267-281.
-
Ganzinger [Gan99]
, pp. 267-281
-
-
Artemov, S.1
-
12
-
-
29144525740
-
Evidence-based common knowledge
-
[Art04], CUNY Ph.D. Program in Computer Science Technical Reports. November
-
[Art04] Sergei Artemov. Evidence-based common knowledge. Technical Report TR-2004018, CUNY Ph.D. Program in Computer Science Technical Reports. November 2004.
-
(2004)
Technical Report
, vol.TR-2004018
-
-
Artemov, S.1
-
13
-
-
32044436532
-
Reflecting higher-order abstract syntax in NuPRL
-
[BA02]. Victor A. Carreño, Cézar A. Muñoz, and Sophiène Tahar, editors. National Aeronautics and Space Administration
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2002), Hampton, VA, August 2002, pages 23-32. National Aeronautics and Space Administration, 2002.
-
(2002)
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2002), Hampton, VA, August 2002
, pp. 23-32
-
-
Barzilay, E.1
Allen, S.2
-
14
-
-
32044457945
-
Practical reflection in NuPRL
-
[BAC03]. Short paper presented, June 22-25, Ottawa, Canada
-
[BAC03] Eli Barzilay, Stuart Allen, and Robert Constable. Practical reflection in NuPRL. Short paper presented at 18th Annual IEEE Symposium on Logic in Computer Science, June 22-25, Ottawa, Canada, 2003.
-
(2003)
18th Annual IEEE Symposium on Logic in Computer Science
-
-
Barzilay, E.1
Allen, S.2
Constable, R.3
-
15
-
-
2442516668
-
Quotation and reflection in NuPRL and scheme
-
[Bar01], Cornell University. Ithaca, New York, January
-
[Bar01] Eli Barzilay. Quotation and reflection in NuPRL and Scheme. Technical Report TR2001-1832, Cornell University. Ithaca, New York, January 2001.
-
(2001)
Technical Report
, vol.TR2001-1832
-
-
Barzilay, E.1
-
16
-
-
32044470461
-
-
[Bar05]. PhD thesis, Cornell University. In preparation
-
[Bar05] Eli Barzilay. Implementing Reflection in NuPRL. PhD thesis, Cornell University, 2005. In preparation.
-
(2005)
Implementing Reflection in NuPRL
-
-
Barzilay, E.1
-
17
-
-
0004174649
-
-
+86]. Prentice-Hall, NJ
-
+86] Robert L. Constable, Stuart F. Allen, H. M. Bromley, W. R. Cleaveland, J. F. Crenier, R. W. Harper, Douglas J. Howe, T. B. Knoblock. N. P. Mendler, P. Panangaden, James T. Sasaki, and Scott F. Smith. Implementing Mathematics with the NuPRL Proof Development System. Prentice-Hall, NJ, 1986.
-
(1986)
Implementing Mathematics with the NuPRL Proof Development System
-
-
Constable, R.L.1
Allen, S.F.2
Bromley, H.M.3
Cleaveland, W.R.4
Crenier, J.F.5
Harper, R.W.6
Howe, D.J.7
Knoblock, T.B.8
Mendler, N.P.9
Panangaden, P.10
Sasaki, J.T.11
Smith, S.F.12
-
19
-
-
32044448532
-
Using reflection to explain and enhance type theory
-
[Con94]. Helmut Schwichtenberg, editor. Proof and Computation. Springer, Berlin
-
[Con94] Robert L. Constable. Using reflection to explain and enhance type theory. In Helmut Schwichtenberg, editor. Proof and Computation, volume 139 of NATO Advanced Study Institute, International Summer School held in Marktoberdorf, Germany, July 20-August I, NATO Series F, pages 65-100. Springer, Berlin, 1994.
-
(1994)
NATO Advanced Study Institute, International Summer School Held in Marktoberdorf, Germany, July 20-August I, NATO Series F
, vol.139
, pp. 65-100
-
-
Constable, R.L.1
-
20
-
-
0013260541
-
Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem
-
[dB72]
-
[dB72] N. G. de Bruijn. Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem. Indagaciones Mathematische, 34:381-392, 1972.
-
(1972)
Indagaciones Mathematische
, vol.34
, pp. 381-392
-
-
De Bruijn, N.G.1
-
22
-
-
84947431245
-
Higher-order abstract syntax in Coq
-
[DFH95]. M. Dezani-Ciancaglini and G. Plotkin, editors, Proceedings of the International Conference on Typed Lambda Calculus and its Applications. Springer-Verlag, April
-
[DFH95] Joëlle Despeyroux, Amy Felty, and André Hirschowitz. Higher-order abstract syntax in Coq. In M. Dezani-Ciancaglini and G. Plotkin, editors, Proceedings of the International Conference on Typed Lambda Calculus and its Applications, volume 902 of Lecture Notes in Computer Science, pages 124-138. Springer-Verlag, April 1995.
-
(1995)
Lecture Notes in Computer Science
, vol.902
, pp. 124-138
-
-
Despeyroux, J.1
Felty, A.2
Hirschowitz, A.3
-
24
-
-
85022757597
-
Higher-order abstract syntax with induction in Coq
-
[DH94]. LPAR '94: Proceedings of the 5th International Conference on Logic Programming and Automated Reasoning. Springer-Verlag
-
[DH94] Joëlle Despeyroux and André Hirschowitz. Higher-order abstract syntax with induction in Coq. In LPAR '94: Proceedings of the 5th International Conference on Logic Programming and Automated Reasoning, volume 822 of Lecture Notes in Computer Science, pages 159-173. Springer-Verlag, 1994.
-
(1994)
Lecture Notes in Computer Science
, vol.822
, pp. 159-173
-
-
Despeyroux, J.1
Hirschowitz, A.2
-
27
-
-
32044432379
-
A modal lambda calculus with iteration and case constructs
-
[DL99]. T. Altenkirch, W. Naraschewski, and B. Reus, editors, Types for Proofs and Programs: International Workshop, TYPES '98. Kloster Irsee, Germany, March 1998
-
[DL99] Joëlle Despeyroux and Pierre Leleu. A modal lambda calculus with iteration and case constructs. In T. Altenkirch, W. Naraschewski, and B. Reus, editors, Types for Proofs and Programs: International Workshop, TYPES '98. Kloster Irsee, Germany, March 1998, volume 1657 of Lecture Notes in Computer Science, pages 47-61, 1999.
-
(1999)
Lecture Notes in Computer Science
, vol.1657
, pp. 47-61
-
-
Despeyroux, J.1
Leleu, P.2
-
29
-
-
84958978438
-
Primitive recursion for higher-order abstract syntax
-
[DPS97]. R. Hindley, editor, Proceedings of the Third International Conference on Typed Lambda Calculus and Applications (TLCA'97). Springer-Verlag, April
-
[DPS97] Joëlle Despeyroux, Frank Pfenning, and Carsten Schürmann, Primitive recursion for higher-order abstract syntax. In R. Hindley, editor, Proceedings of the Third International Conference on Typed Lambda Calculus and Applications (TLCA'97), volume 1210 of Lecture Notes in Computer Science, pages 147-163. Springer-Verlag, April 1997.
-
(1997)
Lecture Notes in Computer Science
, vol.1210
, pp. 147-163
-
-
Despeyroux, J.1
Pfenning, F.2
Schürmann, C.3
-
30
-
-
0005914572
-
-
Carnegie Mellon University
-
An extended version is available as Technical Report CMU-CS-96-172, Carnegie Mellon University.
-
Technical Report
, vol.CMU-CS-96-172
-
-
-
32
-
-
4243235762
-
-
+86]. Oxford University Press, Oxford. Clarendon Press, New York
-
+86] Solomon Feferman et al., editors. Kurt Gödel Collected Works, volume 1. Oxford University Press, Oxford. Clarendon Press, New York, 1986.
-
(1986)
Kurt Gödel Collected Works
, vol.1
-
-
Feferman, S.1
-
34
-
-
84858537523
-
-
th International Conference on Automated Deduction. Berlin, July 7-10. Trento, Italy
-
th International Conference on Automated Deduction, volume 1632 of Lecture Notes in Artificial Intelligence. Berlin, July 7-10 1999. Trento, Italy.
-
(1999)
Lecture Notes in Artificial Intelligence
, vol.1632
-
-
Ganzinger, H.1
-
35
-
-
84956854832
-
Five axioms of alpha-conversion
-
[GM96]. J. von Wright, J. Grundy, and J. Harrison, editors, Theorem Proving in Higher Order Logics: 9th International Conference, Turku, Finland August 1996: Proceedings. Springer-Verlag
-
[GM96] A. D. Gordon and T. Melham. Five axioms of alpha-conversion. In J. von Wright, J. Grundy, and J. Harrison, editors, Theorem Proving in Higher Order Logics: 9th International Conference, Turku, Finland August 1996: Proceedings, volume 1125 of Lecture Notes in Computer Science, pages 173-190. Springer-Verlag, 1996.
-
(1996)
Lecture Notes in Computer Science
, vol.1125
, pp. 173-190
-
-
Gordon, A.D.1
Melham, T.2
-
36
-
-
11244256067
-
A reflective functional language for hardware design and theorem proving
-
[GMO03]. Oxford Univerity, Computing Laboratory
-
[GMO03] Jim Grundy, Tom Melham, and John O'Leary. A reflective functional language for hardware design and theorem proving. Technical Report PRG-RR-03-16. Oxford Univerity, Computing Laboratory. 2003.
-
(2003)
Technical Report
, vol.PRG-RR-03-16
-
-
Grundy, J.1
Melham, T.2
O'Leary, J.3
-
37
-
-
34347193348
-
Über formal unentscheidbare sätze der principia mathematica und verwandier systeme I
-
[Göd31]. English version in [vH67]
-
[Göd31] Kurt Gödel. Über formal unentscheidbare sätze der principia mathematica und verwandier systeme I. Monatshefte für Mathematik und Physik, 38:173-198, 1931. English version in [vH67].
-
(1931)
Monatshefte für Mathematik und Physik
, vol.38
, pp. 173-198
-
-
Gödel, K.1
-
39
-
-
0006385098
-
Reflection in constructive and non-constructive automated reasoning
-
[GS89]. H. Abramson and M. H. Rogers, editors. MIT Press, Cambridge, Mass.
-
[GS89] F. Giunchiglia and A. Smaill. Reflection in constructive and non-constructive automated reasoning. In H. Abramson and M. H. Rogers, editors, Meta-Programming in Logic Programming, pages 123-140. MIT Press, Cambridge, Mass., 1989.
-
(1989)
Meta-programming in Logic Programming
, pp. 123-140
-
-
Giunchiglia, F.1
Smaill, A.2
-
41
-
-
32044443425
-
-
+]
-
+] Jason J. Hickey, Brian Aydemir, Yegor Bryukhov, Alexei Kopylov, Aleksey Nogin, and Xin Yu. A listing of MetaPRL theories. http://metaprl.org/theories.pdf.
-
A Listing of MetaPRL Theories
-
-
Hickey, J.J.1
Aydemir, B.2
Bryukhov, Y.3
Kopylov, A.4
Nogin, A.5
Yu, X.6
-
42
-
-
0004123801
-
Metatheory and reflection in theorem proving: A survey and critique
-
[Har95], SRI International, Cambridge Computer Science Research Centre, Millers Yard, Cambridge, UK, February
-
[Har95] J. Harrison. Metatheory and reflection in theorem proving: A survey and critique. Technical Report CRC-53, SRI International, Cambridge Computer Science Research Centre, Millers Yard, Cambridge, UK, February 1995.
-
(1995)
Technical Report
, vol.CRC-53
-
-
Harrison, J.1
-
43
-
-
0027353175
-
A framework for defining logics
-
[HHP93], January. A revised and expanded verion of '87 paper
-
[HHP93] Robert Harper, Furio Honsell, and Gordon Plotkin. A framework for defining logics. Journal of the Association for Computing Machinery, 40(1):143-184, January 1993. A revised and expanded verion of '87 paper.
-
(1993)
Journal of the Association for Computing Machinery
, vol.40
, Issue.1
, pp. 143-184
-
-
Harper, R.1
Honsell, F.2
Plotkin, G.3
-
44
-
-
84957089761
-
NuPRL-light: An implementation framework for higher-order logics
-
th International Conference on Automated Deduction. Springer, July 13-17
-
th International Conference on Automated Deduction, volume 1249 of Lecture Notes in Artificial Intelligence, pages 395-399. Springer, July 13-17 1997. An extended version of the paper can be found at http://www.cs.caltech. edu/~jyh/papers/cade14_nl/default.html.
-
(1997)
Lecture Notes in Artificial Intelligence
, vol.1249
, pp. 395-399
-
-
Hickey, J.J.1
-
45
-
-
84957685685
-
Fault-tolerant distributed theorem proving
-
[Hic99]
-
[Hic99] Jason J. Hickey. Fault-tolerant distributed theorem proving. In Ganzinger [Gan99], pages 227-231.
-
Ganzinger [Gan99]
, pp. 227-231
-
-
Hickey, J.J.1
-
47
-
-
0018050926
-
Proving and applying program transformations expressed with second-order patterns
-
[HL78]
-
[HL78] Gérard P. Huet and Bernard Lang. Proving and applying program transformations expressed with second-order patterns. Acta Informatica, 11:31-55, 1978.
-
(1978)
Acta Informatica
, vol.11
, pp. 31-55
-
-
Huet, G.P.1
Lang, B.2
-
48
-
-
32044433083
-
MetaPRL - A modular logical environment
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2003). Springer-Verlag
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2003), volume 2758 of Lecture Notes in Computer Science, pages 287-303. Springer-Verlag, 2003.
-
(2003)
Lecture Notes in Computer Science
, vol.2758
, pp. 287-303
-
-
Hickey, J.1
Nogin, A.2
Constable, R.L.3
Aydemir, B.E.4
Barzilay, E.5
Bryukhov, Y.6
Eaton, R.7
Granicz, A.8
Kopylov, A.9
Kreitz, C.10
Krupski, V.N.11
Lorigo, L.12
Schmitt, S.13
Witty, C.14
Yu, X.15
-
51
-
-
32044469423
-
Sequent schema for derived rules
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2002). Springer-Verlag
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2002), volume 2410 of Lecture Notes in Computer Science, pages 281-297. Springer-Verlag, 2002.
-
(2002)
Lecture Notes in Computer Science
, vol.2410
, pp. 281-297
-
-
Nogin, A.1
Hickey, J.2
-
52
-
-
84858533965
-
A computational approach to reflective meta-reasoning about languages with bindings
-
[NKYH05], California Institure of Technology
-
[NKYH05] Aleksey Nogin, Alexei Kopylov, Xin Yu, and Jason Hickey. A computational approach to reflective meta-reasoning about languages with bindings. Technical Report CaltechCSTR:2005.003, California Institure of Technology, 2005. Available at http://resolver.caltech.edu/CaltechCSTR:2005.003.
-
(2005)
Technical Report CaltechCSTR:2005.003
-
-
Nogin, A.1
Kopylov, A.2
Yu, X.3
Hickey, J.4
-
54
-
-
0001695955
-
Existence and feasibility in arithmetic
-
[Par71]
-
[Par71] R. Parikh. Existence and feasibility in arithmetic. The Journal of Symbolic Logic, 36:494-508, 1971.
-
(1971)
The Journal of Symbolic Logic
, vol.36
, pp. 494-508
-
-
Parikh, R.1
-
55
-
-
84887505836
-
-
[Pau94]. Isabelle: A Generic Theorem Prover. Springer-Verlag, New York
-
[Pau94] Lawrence C. Paulson. Isabelle: A Generic Theorem Prover, volume 828 of Lecture Notes in Computer Science. Springer-Verlag, New York, 1994.
-
(1994)
Lecture Notes in Computer Science
, vol.828
-
-
Paulson, L.C.1
-
56
-
-
84956694006
-
Higher-order abstract syntax
-
[PE88]. Proceedings of the ACM SIGPLAN '88 Conference on Programming Language Design and Implementation (PLDI), Atlanta, Georgia, June. ACM Press
-
[PE88] Frank Pfenning and Conal Elliott. Higher-order abstract syntax. In Proceedings of the ACM SIGPLAN '88 Conference on Programming Language Design and Implementation (PLDI), volume 23(7) of SIGPLAN Notices, pages 199-208, Atlanta, Georgia, June 1988. ACM Press.
-
(1988)
SIGPLAN Notices
, vol.23
, Issue.7
, pp. 199-208
-
-
Pfenning, F.1
Elliott, C.2
-
57
-
-
0024880684
-
Elf: A language for logic definition and verified metaprogramming
-
[Pfe89], Asilomar Conference Center, Pacific Grove, California, June. IEEE Computer Society Press
-
th IEEE Symposium on Logic in Computer Science, pages 313-322, Asilomar Conference Center, Pacific Grove, California, June 1989. IEEE Computer Society Press.
-
(1989)
th IEEE Symposium on Logic in Computer Science
, pp. 313-322
-
-
Pfenning, F.1
-
58
-
-
4243140020
-
An illative theory of relations
-
[Plo90]. R. Cooper, K. Mukai, and J. Perry, editors number 22 in CSLI Lecture Notes. Centre for the Study of Language and Information
-
[Plo90] Gordon Plotkin, An illative theory of relations. In R. Cooper, K. Mukai, and J. Perry, editors, Situation Theory and Its Applications, Volume I, number 22 in CSLI Lecture Notes, pages 133-146. Centre for the Study of Language and Information, 1990.
-
(1990)
Situation Theory and Its Applications, Volume I
, vol.1
, pp. 133-146
-
-
Plotkin, G.1
-
59
-
-
0346351909
-
Isabelle tutorial and user's manual
-
[PN90], University of Cambridge Computing Laboratory
-
[PN90] L. Paulson and T. Nipkow. Isabelle tutorial and user's manual. Technical report, University of Cambridge Computing Laboratory, 1990.
-
(1990)
Technical Report
-
-
Paulson, L.1
Nipkow, T.2
-
60
-
-
84858537525
-
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004). Springer-Verlag
-
th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004), volume 3223 of Lecture Notes in Computer Science. Springer-Verlag, 2004.
-
(2004)
Lecture Notes in Computer Science
, vol.3223
-
-
Slind, K.1
Bunker, A.2
Gopalakrishnan, G.3
-
61
-
-
84944210021
-
Recursion for higher-order encodings
-
th Annual Conference of the EACSL. Springer-Verlag
-
th Annual Conference of the EACSL, volume 2142 of Lecture Notes in Computer Science, pages 585-599. Springer-Verlag, 2001.
-
(2001)
Lecture Notes in Computer Science
, vol.2142
, pp. 585-599
-
-
Schürmann, C.1
-
63
-
-
0003691342
-
-
[vH67], Harvard University Press, Cambridge, MA
-
[vH67] J. van Heijenoort, editor. From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931, Harvard University Press, Cambridge, MA, 1967.
-
(1967)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931
-
-
Van Heijenoort, J.1
|