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Volumn 15, Issue 4, 2005, Pages 671-708

Modelling general recursion in type theory

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EID: 33646127648     PISSN: 09601295     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0960129505004822     Document Type: Article
Times cited : (51)

References (45)
  • 1
    • 8344273608 scopus 로고    scopus 로고
    • Termination checking with types
    • Fix Points in Computer Science 2003 (FICS03). (RAIRO)
    • Abel, A. (2004) Termination checking with types. In: Fix Points in Computer Science 2003 (FICS03). Special issue of Theoretical Informatics and Applications (RAIRO).
    • (2004) Special Issue of Theoretical Informatics and Applications
    • Abel, A.1
  • 2
    • 77956968984 scopus 로고
    • An introduction to inductive definitions
    • Barwise, J. (ed.) North-Holland Publishing Company
    • Aczel, P. (1977) An Introduction to Inductive Definitions. In: Barwise, J. (ed.) Handbook of Mathematical Logic, North-Holland Publishing Company 739-782.
    • (1977) Handbook of Mathematical Logic , pp. 739-782
    • Aczel, P.1
  • 3
    • 84949183434 scopus 로고    scopus 로고
    • Fix-point equations for well-founded recursion in type theory
    • Harrison, J. and Aagaard, M. (eds.) Theorem Proving in Higher Order Logics: 13th International Conference, TPHOLs 2000
    • Balaa, A. and Bertot, Y. (2000) Fix-point equations for well-founded recursion in type theory. In: Harrison, J. and Aagaard, M. (eds.) Theorem Proving in Higher Order Logics: 13th International Conference, TPHOLs 2000. Springer-Verlag Lecture Notes in Computer Science 1869 1-16.
    • (2000) Springer-Verlag Lecture Notes in Computer Science , vol.1869 , pp. 1-16
    • Balaa, A.1    Bertot, Y.2
  • 5
    • 0013129691 scopus 로고    scopus 로고
    • Proof-assistants using dependent type systems
    • Robinson, A. and Voronkov, A. (eds.) Chapter 18, Elsevier
    • Barendregt, H. and Geuvers, H. (2001) Proof-assistants using dependent type systems. In: Robinson, A. and Voronkov, A. (eds.) Handbook of Automated Reasoning, Chapter 18, Elsevier 1149-1238.
    • (2001) Handbook of Automated Reasoning , pp. 1149-1238
    • Barendregt, H.1    Geuvers, H.2
  • 6
    • 0001439401 scopus 로고
    • Lambda calculi with types
    • Abramsky, S., Gabbay, D. M. and Maibaum, T. S. E. (eds.) Oxford University Press
    • Barendregt, H. P. (1992) Lambda calculi with types. In: Abramsky, S., Gabbay, D. M. and Maibaum, T. S. E. (eds.) Handbook of Logic in Computer Science 2, Oxford University Press, 117-309.
    • (1992) Handbook of Logic in Computer Science , vol.2 , pp. 117-309
    • Barendregt, H.P.1
  • 9
    • 84945307605 scopus 로고    scopus 로고
    • Type-theoretic functional semantics
    • Carreno, V. A., Munoz, C. A. and Tahar, S. (eds.) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002
    • Bertot, Y., Capretta, V. and Barman, K. D. (2002) Type-theoretic functional semantics. In: Carreno, V. A., Munoz, C. A. and Tahar, S. (eds.) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002. Springer-Verlag Lecture Notes in Computer Science 2410 83-97.
    • (2002) Springer-Verlag Lecture Notes in Computer Science , vol.2410 , pp. 83-97
    • Bertot, Y.1    Capretta, V.2    Barman, K.D.3
  • 11
    • 24944542927 scopus 로고    scopus 로고
    • Simple general recursion in type theory
    • Bove, A. (2001) Simple general recursion in type theory. Nordic Journal of Computing 8 (1) 22-42.
    • (2001) Nordic Journal of Computing , vol.8 , Issue.1 , pp. 22-42
    • Bove, A.1
  • 12
    • 0842288106 scopus 로고    scopus 로고
    • Ph.D. thesis, Department of Computing Science
    • Bove, A. (2002a) General Recursion in Type Theory, Ph.D. thesis, Chalmers University of Technology, Department of Computing Science. (Available at http://www.cs.chalmers.se/bove/Papers/phd_thesis.ps.gz.)
    • (2002) General Recursion in Type Theory
    • Bove, A.1
  • 13
    • 35048817172 scopus 로고    scopus 로고
    • Technical Report
    • Bove, A. (2002b) Mutual general recursion in type theory. Technical Report, Chalmers University of Technology. (Available at http://www.cs.chalmers. se/~bove/Papers/mutual.rec.ps.gz.)
    • (2002) Mutual General Recursion in Type Theory
    • Bove, A.1
  • 14
    • 35248820187 scopus 로고    scopus 로고
    • General recursion in type theory
    • Geuvers, H. and Wiedijk, F. (eds.) Types for Proofs and Programs, International Workshop TYPES 2002, The Netherlands
    • Bove, A. (2003) General recursion in type theory. In: Geuvers, H. and Wiedijk, F. (eds.) Types for Proofs and Programs, International Workshop TYPES 2002, The Netherlands. Springer-Verlag Lecture Notes in Computer Science 2646 39-58.
    • (2003) Springer-Verlag Lecture Notes in Computer Science , vol.2646 , pp. 39-58
    • Bove, A.1
  • 15
    • 84949501091 scopus 로고    scopus 로고
    • Nested general recursion and partiality in type theory
    • Boulton, R. J. and Jackson, P.B. (eds.) Theorem Proving in Higher Order Logics: 14th International Conference, TPHOLs 2001
    • Bove, A. and Capretta, V. (2001) Nested general recursion and partiality in type theory. In: Boulton, R. J. and Jackson, P.B. (eds.) Theorem Proving in Higher Order Logics: 14th International Conference, TPHOLs 2001. Springer-Verlag Lecture Notes in Computer Science 2152 121-135.
    • (2001) Springer-Verlag Lecture Notes in Computer Science , vol.2152 , pp. 121-135
    • Bove, A.1    Capretta, V.2
  • 16
    • 24944561982 scopus 로고    scopus 로고
    • Recursive functions with higher order domains
    • Urzyczyn, P. (ed.) Typed Lambda Calculi and Applications. 7th International Conference, TLCA 2005, Nara, Japan
    • Bove, A. and Capretta, V. (2005) Recursive functions with higher order domains. In: Urzyczyn, P. (ed.) Typed Lambda Calculi and Applications. 7th International Conference, TLCA 2005, Nara, Japan. Springer-Verlag Lecture Notes in Computer Science 3461 116-130.
    • (2005) Springer-Verlag Lecture Notes in Computer Science , vol.3461 , pp. 116-130
    • Bove, A.1    Capretta, V.2
  • 17
    • 4243080306 scopus 로고    scopus 로고
    • The automation of proof by mathematical induction
    • Robinson, A. and Voronkov, A. (eds.) Elsevier Science and MIT Press
    • Bundy, A. (2001) The automation of proof by mathematical induction. In: Robinson, A. and Voronkov, A. (eds.) Handbook of Automated Reasoning 1, Elsevier Science and MIT Press 845-912.
    • (2001) Handbook of Automated Reasoning , vol.1 , pp. 845-912
    • Bundy, A.1
  • 18
    • 0012695280 scopus 로고    scopus 로고
    • Ph.D thesis, Computing Science Institute, University of Nijmegen
    • Capretta, V. (2002) Abstraction and Computation, Ph.D thesis, Computing Science Institute, University of Nijmegen.
    • (2002) Abstraction and Computation
    • Capretta, V.1
  • 19
    • 33750694486 scopus 로고    scopus 로고
    • Carreno, V. A., Munoz, C.A. and Tahar, S. (eds.) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002
    • Carreno, V. A., Munoz, C.A. and Tahar, S. (eds.) (2002) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002. Springer-Verlag Lecture Notes in Computer Science 2410.
    • (2002) Springer-Verlag Lecture Notes in Computer Science , vol.2410
  • 25
    • 0034403161 scopus 로고    scopus 로고
    • A general formulation of simultaneous inductive-recursive definitions in type theory
    • Dybjer, P. (2000) A general formulation of simultaneous inductive-recursive definitions in type theory. Journal of Symbolic Logic 65 (2).
    • (2000) Journal of Symbolic Logic , vol.65 , Issue.2
    • Dybjer, P.1
  • 31
    • 0004659597 scopus 로고
    • Properties of programs and partial function logic
    • Manna, Z. and McCarthy, J. (1970) Properties of programs and partial function logic. Machine Intelligence 5 27-37.
    • (1970) Machine Intelligence , vol.5 , pp. 27-37
    • Manna, Z.1    McCarthy, J.2
  • 35
    • 0011521179 scopus 로고
    • Terminating General Recursion
    • Nordström, B. (1988) Terminating General Recursion. BIT 28 (3) 605-619.
    • (1988) BIT , vol.28 , Issue.3 , pp. 605-619
    • Nordström, B.1
  • 37
    • 0022953552 scopus 로고
    • Proving termination of normalization functions for conditional expressions
    • Paulson, L. C. (1986) Proving Termination of Normalization Functions for Conditional Expressions. Journal of Automated Reasoning 2 63-74.
    • (1986) Journal of Automated Reasoning , vol.2 , pp. 63-74
    • Paulson, L.C.1
  • 38
    • 84975730624 scopus 로고
    • Inductively defined types in the calculus of constructions
    • Proceedings of Mathematical Foundations of Programming Semantics. (Also, Technical report CMU-CS-89-209)
    • Pfenning, F. and Paulin-Mohring, C. (1990) Inductively defined types in the Calculus of Constructions. In: Proceedings of Mathematical Foundations of Programming Semantics. Springer-Verlag Lecture Notes in Computer Science 442. (Also, Technical report CMU-CS-89-209.)
    • (1990) Springer-Verlag Lecture Notes in Computer Science , vol.442
    • Pfenning, F.1    Paulin-Mohring, C.2
  • 39
    • 0010830093 scopus 로고
    • Recursion theory
    • (Background: Mathematical Structures), Oxford University Press
    • Phillips, J. C. C. (1992) Recursion theory. Handbook of Logic in Computer Science 1 (Background: Mathematical Structures), Oxford University Press 79-187.
    • (1992) Handbook of Logic in Computer Science , vol.1 , pp. 79-187
    • Phillips, J.C.C.1
  • 40
    • 33745670992 scopus 로고    scopus 로고
    • Lectures on the Curry-Howard isomorphism
    • Sørensen, M. H. B. and Urzyczyn, P. (1998) Lectures on the Curry-Howard isomorphism. Available as DIKU Rapport 98/14.
    • (1998) DIKU Rapport , vol.98 , Issue.14
    • Sørensen, M.H.B.1    Urzyczyn, P.2
  • 41
    • 85029754017 scopus 로고
    • Computing induction axioms
    • International Conference on Logic Programming and Automated Reasoning, LPAR 92
    • Walther, C. (1992) Computing induction axioms. In: International Conference on Logic Programming and Automated Reasoning, LPAR 92. Springer-Verlag Lecture Notes in Artificial Intelligence 624.
    • (1992) Springer-Verlag Lecture Notes in Artificial Intelligence , vol.624
    • Walther, C.1
  • 43
    • 33750691557 scopus 로고    scopus 로고
    • First order logic with domain conditions
    • Theorem Proving in Higher Order Logics, TPHOLs 2003
    • Wiedijk, F. and Zwanenburg, J. (2003) First order logic with domain conditions. In: Theorem Proving in Higher Order Logics, TPHOLs 2003. Springer-Verlag Lecture Notes in Computer Science 2758 221-237.
    • (2003) Springer-Verlag Lecture Notes in Computer Science , vol.2758 , pp. 221-237
    • Wiedijk, F.1    Zwanenburg, J.2
  • 45
    • 84945296701 scopus 로고    scopus 로고
    • Weakest precondition for general recursive programs formalized in Coq
    • Carreno, V. A., Munoz, C. A. and Tahar, S. (eds.) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002
    • Zhang, X., Munro, M., Harman, M. and Hu, L. (2002) Weakest precondition for general recursive programs formalized in Coq. In: Carreno, V. A., Munoz, C. A. and Tahar, S. (eds.) Theorem Proving in Higher Order Logics: 15th International Conference, TPHOLs 2002. Springer-Verlag Lecture Notes in Computer Science 2410 332-347.
    • (2002) Springer-Verlag Lecture Notes in Computer Science , vol.2410 , pp. 332-347
    • Zhang, X.1    Munro, M.2    Harman, M.3    Hu, L.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.