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Volumn 620 LNCS, Issue , 1992, Pages 293-304

A unifying theory of dependent types: The schematic approach

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EID: 84961322971     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/BFb0023883     Document Type: Conference Paper
Times cited : (19)

References (26)
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    • R. Backhouse. On the meaning and construction of the rules in Martin-Löf s theory of types. In A. Avron et al, editor, Workshop on General Logic. LFCS Report Series, ECS-LFCS-88-52, Dept. of Computer Science, University of Edinburgh, 1988.
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  • 5
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    • An algorithm for testing conversion in Type Theory
    • G. Huet and G. Plotkin, editors, Cambridge University Press
    • Th. Coquand. An algorithm for testing conversion in Type Theory. In G. Huet and G. Plotkin, editors, Logical Frameworks. Cambridge University Press, 1991.
    • (1991) Logical Frameworks
    • Coquand, T.H.1
  • 7
    • 0040558655 scopus 로고
    • The philosophical basis of intuitionistic logic
    • H. Rose and J. Shepherdson, editors, 1973. North Holland, Reprinted in P. Benacerraf and H. Putnam (eds.), Philosophy of Mathematics: selected readings, Campbridge University Press
    • M. Dummett.: The philosophical basis of intuitionistic logic. In H. Rose and J. Shepherdson, editors, Proc. of the Logic Colloquium, 1973. North Holland, 1975. Reprinted in P. Benacerraf and H. Putnam (eds.), Philosophy of Mathematics: selected readings, Campbridge University Press.
    • (1975) Proc. of the Logic Colloquium
    • Dummett, M.1
  • 9
    • 1642570813 scopus 로고
    • An inversion principle for Martin-Löfs type theory
    • P. Dybjer et al, editor, Programming Methodology Group, Report 54
    • P. Dybjer. An inversion principle for Martin-Löfs type theory. In P. Dybjer et al, editor, Workshop on Programming Logic. Programming Methodology Group, Report 54, 1989.
    • (1989) Workshop on Programming Logic
    • Dybjer, P.1
  • 10
    • 0003266602 scopus 로고
    • Inductive sets and families in Martin-Löfs type theory and their set-theoretic semantics
    • G. Huet and G. Plotkin, editors, Cambridge University Press
    • P. Dybjer. Inductive sets and families in Martin-Löfs type theory and their set-theoretic semantics. In G. Huet and G. Plotkin, editors, Logical Frameworks. Cambridge University Press, 1991.
    • (1991) Logical Frameworks
    • Dybjer, P.1
  • 15
    • 0004119262 scopus 로고
    • PhD thesis, University of Edinburgh, Also as Report CST-65-90/ECS-LFCS-90-118, Department of Computer Science, University of Edinburgh
    • Z. Luo. An Extended Calculus of Constructions. PhD thesis, University of Edinburgh, 1990. Also as Report CST-65-90/ECS-LFCS-90-118, Department of Computer Science, University of Edinburgh.
    • (1990) An Extended Calculus of Constructions
    • Luo, Z.1
  • 17
    • 0025720808 scopus 로고
    • A higher-order calculus and theory abstraction
    • Z. Luo. A higher-order calculus and theory abstraction. Information and Computation, 90(1):107–137, 1991.
    • (1991) Information and Computation , vol.90 , Issue.1 , pp. 107-137
    • Luo, Z.1
  • 19
    • 0002531110 scopus 로고
    • An intuitionistic theory of types: Predicative part
    • H.Rose and J.C.Shepherdson, editors
    • P. Martin-Löf. An intuitionistic theory of types: predicative part. In H.Rose and J.C.Shepherdson, editors, Logic Colloquium'73, 1975.
    • (1975) Logic Colloquium'73
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  • 22
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    • The Extended Calculus of Constructions (ECC) with inductive types
    • C.-E. Ore. The Extended Calculus of Constructions (ECC) with inductive types. To appear in Information and Computation, 1990.
    • (1990) Information and Computation
    • Ore, C.-E.1
  • 25
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    • D. Prawitz. On the idea of a general proof theory. Synthese, 27, 1974.
    • (1974) Synthese , pp. 27
    • Prawitz, D.1
  • 26
    • 0004663639 scopus 로고
    • The independence of Peano's fourth axiom from Martin-Löfs type theory without universes
    • J. Smith. The independence of Peano's fourth axiom from Martin-Löfs type theory without universes. Journal of Symbolic Logic, 53(3), 1988.
    • (1988) Journal of Symbolic Logic , vol.53 , Issue.3
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