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Volumn , Issue , 2009, Pages 59-66

Embedding a logical Theory of Constructions in agda

Author keywords

General; Logical theory of constructions; Type Theory

Indexed keywords

FUNCTIONAL PROGRAMS; GENERAL; GREATEST COMMON DIVISORS; INTUITIONISTIC PREDICATE LOGIC; LOGICAL THEORIES; LOGICAL THEORY OF CONSTRUCTIONS; PROGRAMMING LANGUAGE; PROGRAMMING LOGIC; TYPE THEORY;

EID: 70149123071     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (5)

References (29)
  • 3
    • 70149119581 scopus 로고
    • What might the objects of the logical theory of constructions be?
    • In P. Dybjer et al., editors, Chalmers University of Technology
    • Peter Aczel. What might the objects of the logical theory of constructions be? In P. Dybjer et al., editors, Proc. of the Worshop on Programming Logic, number 54 in Programming Methodology Group Reports, pages 122-139. Chalmers University of Technology, 1989. 65
    • (1989) Proc. of the Worshop on Programming Logic 54 in Programming Methodology Group Reports , vol.65 , pp. 122-139
    • Aczel., P.1
  • 4
    • 77956968047 scopus 로고
    • Frege structures and the notion of proposition, truth and set
    • J. Barwise, H. J. Keisler, and K. Kunen, editors, Amsterdan: North-Holland
    • Peter Aczel. Frege structures and the notion of proposition, truth and set. In J. Barwise, H. J. Keisler, and K. Kunen, editors, The Kleene Symposium, volume 101 of Studies in Logic and the Foundations of Mathematics, pages 31-59. Amsterdan: North-Holland, 1980.
    • (1980) The Kleene Symposium, volume 101 of Studies in Logic and the Foundations of Mathematics , pp. 31-59
    • Aczel., P.1
  • 5
    • 0010071182 scopus 로고
    • The strength of Martin-Löf's intuitionistic type theory with one universe
    • Report No. 2, Department of Philosopy, University of Helsinki, Helsinki, pages
    • Peter Aczel. The strength of Martin-Löf's intuitionistic type theory with one universe. In S. Miettinen and J. Väananen, editors, Proc. of the Symposium on Mathematical Logic (Oulu, 1974), Report No. 2, Department of Philosopy, University of Helsinki, Helsinki, pages 1-32, 1977.
    • (1977) Proc. of the Symposium on Mathematical Logic (Oulu,1974) , pp. 1-32
    • Aczel., P.1
  • 6
    • 70149111630 scopus 로고
    • Two framework of theories and their implementation in Isabelle
    • In Ǵerard Huet and Gordon Plotkin, editors
    • Peter Aczel, David P. Carlisle, and Nax Mendler. Two framework of theories and their implementation in Isabelle. In Ǵerard Huet and Gordon Plotkin, editors, Logical Frameworks, pages 3-39. Cambridge University Press, 1991.
    • (1991) Logical Frameworks,Cambridge University Press , pp. 3-39
    • Aczel, P.1    Carlisle, D.P.2    Mendler., N.3
  • 7
    • 70149120858 scopus 로고    scopus 로고
    • Agda wiki, Available at
    • Agda wiki. Available at appserv.cs.chalmers.se/users/ulfn/ wiki/agda.php, 2008.
    • (2008)
  • 9
    • 33646127648 scopus 로고    scopus 로고
    • Modelling general recursion in type theory
    • Cambridge University Press, February
    • Ana Bove and Venanzio Capretta. Modelling general recursion in type theory. Mathematical Structures in Computer Science, 15:671-708, February 2005. Cambridge University Press.
    • (2005) Mathematical Structures in Computer Science , vol.15 , pp. 671-708
    • Bove, A.1    Capretta, V.2
  • 12
    • 84949446497 scopus 로고    scopus 로고
    • Theorem proving for functional programmers
    • Sparkle: A functional theorem prover. In T. Arts and M. Mohnen, editors of LNCS, pages
    • Maarten de Mol, Marko van Eekelen, and Rinus Plasmeijer. Theorem proving for functional programmers. Sparkle: A functional theorem prover. In T. Arts and M. Mohnen, editors, Implementation of Functional Languages. 13th International Workshop, IFL 2001, volume 2312 of LNCS, pages 55-71, 2002.
    • (2001) Implementation of Functional Languages. 13th International Workshop, IFL , vol.2312 , Issue.2002 , pp. 55-71
    • Mol, M.D.1    Eekelen, M.V.2    Plasmeijer., R.3
  • 13
    • 0003266602 scopus 로고
    • Inductive sets and families in Martin-L̈f́s type theory and their set-theoretic semantics
    • Cambridge University Press
    • Peter Dybjer. Inductive sets and families in Martin-Löf's type theory and their set-theoretic semantics. In G. Huet and G. Plotkin, editors, Logical Frameworks, pages 280-306. Cambridge University Press, 1991.
    • (1991) G. Huet and G. Plotkin, editors,Logical Frameworks , pp. 280-306
    • Dybjer., P.1
  • 14
    • 84858910623 scopus 로고
    • Program verification in a logical theory of constructions
    • of LNCS,Appears in revised form as Programming Methodology Group Report 26, University of Gothenburg and Chalmers University of Technology
    • Peter Dybjer. Program verification in a logical theory of constructions. In J.-P. Jouannaud, editor, Functional Programming Languages and Computer Architecture, volume 201 of LNCS, pages 334-349, 1985. Appears in revised form as Programming Methodology Group Report 26, University of Gothenburg and Chalmers University of Technology, 1986.
    • (1985) J.-P. Jouannaud, Editor,Functional Programming Languages and Computer Architecture , vol.201 , pp. 334-349
    • Dybjer., P.1
  • 15
    • 0025447939 scopus 로고
    • Comparing integrated and external logics of functional programs
    • Peter Dybjer. Comparing integrated and external logics of functional programs. Science of Computer Programming, 14:59-79, 1990.
    • (1990) Science of Computer Programming , vol.14 , pp. 59-79
    • Dybjer., P.1
  • 16
    • 3743098189 scopus 로고
    • A functional programming approach to the specification and verification of concurrent systems
    • Peter Dybjer and Herbert Sander. A functional programming approach to the specification and verification of concurrent systems. Formal Aspects of Computing, 1:303-319, 1989.
    • (1989) Formal Aspects of Computing , vol.1 , pp. 303-319
    • Dybjer, P.1    Sander., H.2
  • 17
    • 0030563207 scopus 로고    scopus 로고
    • Systems of explicit mathematics with non-constructive-operator. Part II
    • DOI 10.1016/0168-0072(95)00028-3
    • Solomon Feferman and Gerhard Jäger. Systems of explicit mathematics with non-constructive μmu; -operator, part II. Ann. Pure Appl. Logic, 79(1): 37-52, 1996. (Pubitemid 126169055)
    • (1996) Annals of Pure and Applied Logic , vol.79 , Issue.1 , pp. 37-52
    • Feferman, S.1    Jager, G.2
  • 18
    • 85034662938 scopus 로고
    • Linear logic and parallelism. InM. Venturini Zilli
    • of LNCS
    • Jean-Yves Girard. Linear logic and parallelism. InM. Venturini Zilli, editor, Mathematical Models for the Semantics of Parallelism, volume 280 of LNCS, pages 166-182, 1986.
    • (1986) Mathematical Models for the Semantics of Parallelism , vol.280 , pp. 166-182
    • Girard., J.-Y.1
  • 21
    • 0027353175 scopus 로고
    • A Framework for defining logics
    • Robert Harper, Furio Honsell, and Gordon Plotkin. A framework for defining logics. JACM, 40(1):143-184, 1993.
    • (1993) JACM , vol.40 , Issue.1 , pp. 143-184
    • Harper, R.1    Honsell, F.2    Plotkin., G.3
  • 22
    • 26444539863 scopus 로고    scopus 로고
    • The logic of demand in Haskell
    • DOI 10.1017/S0956796805005666, PII S0956796805005666
    • William L. Harrison and Richard B. Kieburtz. The logic of demand in Haskell. Journal of Functional Programming, 15(6):837-891, 2005. (Pubitemid 41426339)
    • (2005) Journal of Functional Programming , vol.15 , Issue.6 , pp. 837-891
    • Harrison, W.L.1    Kieburtz, R.B.2
  • 23
    • 0030172934 scopus 로고    scopus 로고
    • A type-theoretic interpretation of constructive domain theory
    • Michael Hedberg. A type-theoretic interpretation of constructive domain theory. J. Autom. Reasoning, 16(3):369-425, 1996. (Pubitemid 126708525)
    • (1996) Journal of Automated Reasoning , vol.16 , Issue.3 , pp. 369-425
    • Hedberg, M.1
  • 25
    • 0003724888 scopus 로고
    • LNCS. Springer (With a contribution by T. Nipkow)
    • Lawrence C. Paulson. Isabelle. A Generic Theorem Prover, volume 828 of LNCS. Springer, 1994. (With a contribution by T. Nipkow).
    • (1994) Isabelle. A Generic Theorem Prover , vol.828
    • Paulson., L.C.1
  • 27
    • 0000230630 scopus 로고    scopus 로고
    • LCF considered as a programming language
    • Gordon Plotkin. LCF considered as a programming language. Theoretical Computer Science, 5(3):223-255, 1997.
    • (1997) Theoretical Computer Science , vol.5 , Issue.3 , pp. 223-255
    • Plotkin., G.1
  • 28
    • 0000889413 scopus 로고
    • Data types as lattices.
    • Dana S. Scott. Data types as lattices. SIAMJ. Comput., 5(3):522-587, 1976.
    • (1976) SIAMJ. Comput. , vol.5 , Issue.3 , pp. 522-587
    • Scott., D.S.1
  • 29
    • 0348170591 scopus 로고
    • An Interpretation of Martin-Löf's type theory in a type-free theory of propositions
    • Jan Smith. An interpretation of Martin-Löf's type theory in a type-free theory of propositions. The Journal of Symbolic Logic, 49(3):730-753,1984.
    • (1984) The Journal of Symbolic Logic , vol.49 , Issue.3 , pp. 730-753
    • Smith., J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.