메뉴 건너뛰기




Volumn 228, Issue C, 2009, Pages 21-36

Type Theory Should Eat Itself

Author keywords

Agda; big step normalisation; explicit substitutions; type theory; typed syntax

Indexed keywords

FUNCTIONAL PROGRAMMING; STRUCTURED PROGRAMMING; SYNTACTICS; TECHNICAL PRESENTATIONS;

EID: 58149387190     PISSN: 15710661     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.entcs.2008.12.114     Document Type: Article
Times cited : (36)

References (24)
  • 1
    • 58149388943 scopus 로고    scopus 로고
    • Thorsten Altenkirch and James Chapman. Tait in one big step. In Workshop on Mathematically Structured Functional Programming, MSFP 2006, Kuressaare, Estonia, July 2, 2006, electronic Workshop in Computing (eWiC), Kuressaare, Estonia, 2006. The British Computer Society (BCS)
    • Thorsten Altenkirch and James Chapman. Tait in one big step. In Workshop on Mathematically Structured Functional Programming, MSFP 2006, Kuressaare, Estonia, July 2, 2006, electronic Workshop in Computing (eWiC), Kuressaare, Estonia, 2006. The British Computer Society (BCS)
  • 2
    • 58149395739 scopus 로고    scopus 로고
    • Thorsten Altenkirch and James Chapman. Big-Step Normalisation. Journal of Functional Programming, 2008. Special Issue on Mathematically Structured Functional Programming. To appear
    • Thorsten Altenkirch and James Chapman. Big-Step Normalisation. Journal of Functional Programming, 2008. Special Issue on Mathematically Structured Functional Programming. To appear
  • 3
    • 58149400090 scopus 로고    scopus 로고
    • Andreas Abel, Thierry Coquand, and Peter Dybjer. Verifying a Semantic βη-Conversion Test for Martin-Löf Type Theory. In Mathematics of Program Construction, MPC'08, 2008. To appear
    • Andreas Abel, Thierry Coquand, and Peter Dybjer. Verifying a Semantic βη-Conversion Test for Martin-Löf Type Theory. In Mathematics of Program Construction, MPC'08, 2008. To appear
  • 4
    • 84949501091 scopus 로고    scopus 로고
    • Nested General Recursion and Partiality in Type Theory
    • Theorem Proving in Higher Order Logics. Boulton R., and Jackson P. (Eds). TPHOLs 2001, Springer-Verlag
    • Bove A., and Capretta V. Nested General Recursion and Partiality in Type Theory. In: Boulton R., and Jackson P. (Eds). Theorem Proving in Higher Order Logics. TPHOLs 2001. Lecture Notes in Computer Science volume 2152 (September 2001), Springer-Verlag
    • (2001) Lecture Notes in Computer Science , vol.2152
    • Bove, A.1    Capretta, V.2
  • 5
    • 38549117213 scopus 로고    scopus 로고
    • Towards formalizing categorical models of type theory in type theory
    • Proc. Int. Workshop on Logical Frameworks and Meta-Languages (LFMTP'07)
    • Buisse A., and Dybjer P. Towards formalizing categorical models of type theory in type theory. Proc. Int. Workshop on Logical Frameworks and Meta-Languages (LFMTP'07). Electronic Notes in Computer Science 196 (2008) 137-151
    • (2008) Electronic Notes in Computer Science , vol.196 , pp. 137-151
    • Buisse, A.1    Dybjer, P.2
  • 6
    • 58149397601 scopus 로고    scopus 로고
    • Edwin Brady. Practical Implementation of a Dependently Typed Functional Programming Language. PhD thesis, University of Durham, 2005
    • Edwin Brady. Practical Implementation of a Dependently Typed Functional Programming Language. PhD thesis, University of Durham, 2005
  • 7
    • 0026190524 scopus 로고    scopus 로고
    • Ulrich Berger and Helmut Schwichtenberg. An inverse of the evaluation functional for typed λ-calculus. In R. Vemuri, editor, Proceedings of the Sixth Annual IEEE Symposium on Logic in Computer Science, pages 203-211, 1991
    • Ulrich Berger and Helmut Schwichtenberg. An inverse of the evaluation functional for typed λ-calculus. In R. Vemuri, editor, Proceedings of the Sixth Annual IEEE Symposium on Logic in Computer Science, pages 203-211, 1991
  • 8
    • 58149397602 scopus 로고    scopus 로고
    • Bruno Barras and Benjamin Werner. Coq in Coq. unpublished
    • Bruno Barras and Benjamin Werner. Coq in Coq. unpublished
  • 10
    • 58149381505 scopus 로고    scopus 로고
    • Thierry Coquand. Pattern Matching with Dependent Types. In Bengt Nordström, Kent Petersson, and Gordon Plotkin, editors, Electronic Proceedings of the Third Annual BRA Workshop on Logical Frameworks (Båstad, Sweden), 1992
    • Thierry Coquand. Pattern Matching with Dependent Types. In Bengt Nordström, Kent Petersson, and Gordon Plotkin, editors, Electronic Proceedings of the Third Annual BRA Workshop on Logical Frameworks (Båstad, Sweden), 1992
  • 11
    • 58149393929 scopus 로고    scopus 로고
    • A Formalisation of a Dependently Typed Language as an Inductive-Recursive Family
    • Types for Proofs and Programs. Altenkirch T., and McBride C. (Eds). Nottingham, England, Springer-Verlag
    • Anders Danielsson N. A Formalisation of a Dependently Typed Language as an Inductive-Recursive Family. In: Altenkirch T., and McBride C. (Eds). Types for Proofs and Programs. Nottingham, England. LNCS 4502 (April 2006), Springer-Verlag
    • (2006) LNCS , vol.4502
    • Anders Danielsson, N.1
  • 12
    • 0013260541 scopus 로고
    • Lambda Calculus notation with nameless dummies: a tool for automatic formula manipulation
    • de Bruijn N.G. Lambda Calculus notation with nameless dummies: a tool for automatic formula manipulation. Indagationes Mathematicæ 34 (1972) 381-392
    • (1972) Indagationes Mathematicæ , vol.34 , pp. 381-392
    • de Bruijn, N.G.1
  • 13
    • 84944049531 scopus 로고    scopus 로고
    • Indexed induction-recursion
    • Proof Theory in Computer Science. Kahle R., Schroeder-Heister P., and Stärk R.F. (Eds), Springer
    • Dybjer P., and Setzer A. Indexed induction-recursion. In: Kahle R., Schroeder-Heister P., and Stärk R.F. (Eds). Proof Theory in Computer Science. Lecture Notes in Computer Science volume 2183 (2001), Springer 93-113
    • (2001) Lecture Notes in Computer Science , vol.2183 , pp. 93-113
    • Dybjer, P.1    Setzer, A.2
  • 14
    • 0003266602 scopus 로고
    • Inductive Sets and Families in Martin-Löf's Type Theory
    • Huet G., and Plotkin G. (Eds), CUP
    • Dybjer P. Inductive Sets and Families in Martin-Löf's Type Theory. In: Huet G., and Plotkin G. (Eds). Logical Frameworks (1991), CUP
    • (1991) Logical Frameworks
    • Dybjer, P.1
  • 15
    • 0142228801 scopus 로고
    • Internal Type Theory
    • Types for Proofs and Programs, '95, Springer-Verlag
    • Dybjer P. Internal Type Theory. Types for Proofs and Programs, '95. Lecture Notes in Computer Science volume 1158 (1995), Springer-Verlag
    • (1995) Lecture Notes in Computer Science , vol.1158
    • Dybjer, P.1
  • 16
    • 58149381501 scopus 로고    scopus 로고
    • Healfdene Goguen. A Typed Operational Semantics for Type Theory. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1994
    • Healfdene Goguen. A Typed Operational Semantics for Type Theory. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1994
  • 17
    • 0142259803 scopus 로고    scopus 로고
    • Syntax and semantics of dependent types
    • Pitts A.M., and Dybjer P. (Eds), Cambridge University Press, Cambridge
    • Hofmann M. Syntax and semantics of dependent types. In: Pitts A.M., and Dybjer P. (Eds). Semantics and Logics of Computation, volume 14 (1997), Cambridge University Press, Cambridge 79-130
    • (1997) Semantics and Logics of Computation, volume 14 , pp. 79-130
    • Hofmann, M.1
  • 18
    • 58149400093 scopus 로고    scopus 로고
    • Conor McBride. Dependently Typed Functional Programs and their Proofs. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1999
    • Conor McBride. Dependently Typed Functional Programs and their Proofs. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1999
  • 20
    • 58149381502 scopus 로고    scopus 로고
    • Per Martin-Löf. Substitution calculus, 1992. Notes from a lecture given in Göteborg
    • Per Martin-Löf. Substitution calculus, 1992. Notes from a lecture given in Göteborg
  • 21
    • 4243785347 scopus 로고    scopus 로고
    • An intuitionistic theory of types
    • Twenty-five years of constructive type theory. Sambin G., and Smith J. (Eds), Oxford University Press
    • Martin-Löf P. An intuitionistic theory of types. In: Sambin G., and Smith J. (Eds). Twenty-five years of constructive type theory. Oxford Logic Guides volume 36 (1998), Oxford University Press
    • (1998) Oxford Logic Guides , vol.36
    • Martin-Löf, P.1
  • 22
    • 58149390881 scopus 로고    scopus 로고
    • Norell U. Agda 2 (2007). http://www.cs.chalmers.se/~ulfn/
    • (2007) Agda 2
    • Norell, U.1
  • 23
    • 58149397598 scopus 로고    scopus 로고
    • Robert Pollack. The Theory of LEGO. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1995
    • Robert Pollack. The Theory of LEGO. PhD thesis, Laboratory for Foundations of Computer Science, University of Edinburgh, 1995


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.