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Volumn 81, Issue 1-3, 1996, Pages 187-239

Some intuitions behind realizability semantics for constructive logic: Tableaux and Läuchli countermodels

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EID: 0030243450     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-0072(96)00002-4     Document Type: Article
Times cited : (7)

References (43)
  • 5
    • 0039013047 scopus 로고
    • Constructive theories of functions and classes
    • M. Boffa, D. van Dalen, and K. McAloon, Eds., North-Holland, Amsterdam
    • [5] S. Feferman, Constructive theories of functions and classes, in: M. Boffa, D. van Dalen, and K. McAloon, Eds., Logic Colloquium 78, (North-Holland, Amsterdam, 1979) 159-224; Proc. Colloquium held in Mons (August 1978).
    • (1979) Logic Colloquium , vol.78 , pp. 159-224
    • Feferman, S.1
  • 6
    • 0039013047 scopus 로고
    • August
    • [5] S. Feferman, Constructive theories of functions and classes, in: M. Boffa, D. van Dalen, and K. McAloon, Eds., Logic Colloquium 78, (North-Holland, Amsterdam, 1979) 159-224; Proc. Colloquium held in Mons (August 1978).
    • (1978) Proc. Colloquium Held in Mons
  • 11
    • 0001540321 scopus 로고
    • Lambek's categorical proof theory and läuchli's abstract realizability
    • [10] V. Harnik and M. Makkai, Lambek's categorical proof theory and läuchli's abstract realizability, J. Symbolic Logic 57 (1992) 200-230.
    • (1992) J. Symbolic Logic , vol.57 , pp. 200-230
    • Harnik, V.1    Makkai, M.2
  • 12
    • 84972526310 scopus 로고
    • The fibrational formulation of intuitionistic predicate logic i: Completeness according to Gödel, Kripke and Läuchli. Part i
    • [11] V. Harnik and M. Makkai, The fibrational formulation of intuitionistic predicate logic i: completeness according to Gödel, Kripke and Läuchli. Part i, Notre Dame J. Formal Logic 34 (1993) 334-377.
    • (1993) Notre Dame J. Formal Logic , vol.34 , pp. 334-377
    • Harnik, V.1    Makkai, M.2
  • 13
    • 84972488126 scopus 로고
    • The fibrational formulation of intuitionistic predicate logic i: Completeness according to Gödel, Kripke and Läuchli. Part ii
    • [12] V. Harnik and M. Makkai, The fibrational formulation of intuitionistic predicate logic i: completeness according to Gödel, Kripke and Läuchli. Part ii, Notre Dame J. Formal Logic 34 (1993) 471-498.
    • (1993) Notre Dame J. Formal Logic , vol.34 , pp. 471-498
    • Harnik, V.1    Makkai, M.2
  • 15
    • 0002386430 scopus 로고
    • The formulae-as-types notion of construction
    • J.P. Seldin and J.R. Hindley, Eds., Academic Press, New York
    • [14] W.A. Howard, The formulae-as-types notion of construction, in: J.P. Seldin and J.R. Hindley, Eds., To H.B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism (Academic Press, New York, 1980) 479-490.
    • (1980) To H.B. Curry: Essays on Combinatory Logic, Lambda Calculus and Formalism , pp. 479-490
    • Howard, W.A.1
  • 16
    • 0000108517 scopus 로고
    • On the interpretation of intuitionistic number theory
    • [15] S.C. Kleene, On the interpretation of intuitionistic number theory, J. Symbolic Logic 10 (1945) 109-124.
    • (1945) J. Symbolic Logic , vol.10 , pp. 109-124
    • Kleene, S.C.1
  • 17
    • 77956653643 scopus 로고
    • Realizability
    • A. Heyting, Ed., North-Holland, Amsterdam
    • [16] S.C. Kleene, Realizability, in: A. Heyting, Ed., Constructivity in Mathematics (North-Holland, Amsterdam, 1959) 285-289; Proc. Colloquium held in Amsterdam (August 26-31, 1957).
    • (1959) Constructivity in Mathematics , pp. 285-289
    • Kleene, S.C.1
  • 18
    • 0011669445 scopus 로고
    • August
    • [16] S.C. Kleene, Realizability, in: A. Heyting, Ed., Constructivity in Mathematics (North-Holland, Amsterdam, 1959) 285-289; Proc. Colloquium held in Amsterdam (August 26-31, 1957).
    • (1957) Proc. Colloquium Held in Amsterdam , pp. 26-31
  • 21
    • 77956955779 scopus 로고    scopus 로고
    • Semantical analysis of intuitionistic logic. I
    • J.N. Crossley and M.A.E. Dummett, Eds., North-Holland, Amsterdam
    • [19] S.A. Kripke, Semantical analysis of intuitionistic logic. I, in: J.N. Crossley and M.A.E. Dummett, Eds., Formal Systems and Recursive Functions (North-Holland, Amsterdam, 1965) 92-130; Proc. 8th Logic Colloquium, Oxford (July 1963).
    • (1965) Formal Systems and Recursive Functions , pp. 92-130
    • Kripke, S.A.1
  • 22
    • 77956955779 scopus 로고    scopus 로고
    • Oxford July
    • [19] S.A. Kripke, Semantical analysis of intuitionistic logic. I, in: J.N. Crossley and M.A.E. Dummett, Eds., Formal Systems and Recursive Functions (North-Holland, Amsterdam, 1965) 92-130; Proc. 8th Logic Colloquium, Oxford (July 1963).
    • Proc. 8th Logic Colloquium , pp. 1963
  • 23
    • 85029817647 scopus 로고
    • Connecting formal semantics to constructive intuitions
    • Trinity University, San Antonio TX, June
    • [20] S.A. Kurtz, J. Mitchell and M.J. O'Donnell, Connecting formal semantics to constructive intuitions, in: Proc. Symp. on Constructivity in Computer Science, Trinity University, San Antonio TX, June 1991, Lecture Notes in Computer Science, Vol. 613 (Springer, Berlin, 1992) 1-21.
    • (1991) Proc. Symp. on Constructivity in Computer Science
    • Kurtz, S.A.1    Mitchell, J.2    O'Donnell, M.J.3
  • 24
    • 85029817647 scopus 로고
    • Springer, Berlin
    • [20] S.A. Kurtz, J. Mitchell and M.J. O'Donnell, Connecting formal semantics to constructive intuitions, in: Proc. Symp. on Constructivity in Computer Science, Trinity University, San Antonio TX, June 1991, Lecture Notes in Computer Science, Vol. 613 (Springer, Berlin, 1992) 1-21.
    • (1992) Lecture Notes in Computer Science , vol.613 , pp. 1-21
  • 26
    • 77956958237 scopus 로고
    • An abstract notion of realizability for which intuitionistic predicate calculus is complete
    • A. Kino, J. Myhill and R.E. Vesley, Eds., North-Holland, Amsterdam, London
    • [22] H. Läuchli, An abstract notion of realizability for which intuitionistic predicate calculus is complete, in: A. Kino, J. Myhill and R.E. Vesley, Eds., Intuitionism and Proof Theory, Studies in Logic and the Foundations of Mathematics (North-Holland, Amsterdam, London, 1970); 277-234; Proc. Conf. Intuitionism and Proof Theory, Buffalo, New York (August 1968).
    • (1970) Intuitionism and Proof Theory, Studies in Logic and the Foundations of Mathematics , pp. 277-1234
    • Läuchli, H.1
  • 27
    • 85119761214 scopus 로고
    • Buffalo, New York August
    • [22] H. Läuchli, An abstract notion of realizability for which intuitionistic predicate calculus is complete, in: A. Kino, J. Myhill and R.E. Vesley, Eds., Intuitionism and Proof Theory, Studies in Logic and the Foundations of Mathematics (North-Holland, Amsterdam, London, 1970); 277-234; Proc. Conf. Intuitionism and Proof Theory, Buffalo, New York (August 1968).
    • (1968) Proc. Conf. Intuitionism and Proof Theory
  • 28
    • 0011619794 scopus 로고    scopus 로고
    • Type theory and inhabitation: A constructive completeness theorem for Martin-Löf type theory
    • submitted
    • [23] J. Lipton, Type theory and inhabitation: A constructive completeness theorem for Martin-Löf type theory, Ann. Pure Appl. Logic, submitted.
    • Ann. Pure Appl. Logic
    • Lipton, J.1
  • 29
    • 77956658589 scopus 로고
    • Constructive kripke semantics and realizability
    • Y. Moschovakis, Ed., Springer, Berlin
    • [24] J. Lipton, Constructive kripke semantics and realizability, in: Y. Moschovakis, Ed., Logic for Computer Science, MSRI Workshop Proc. (Springer, Berlin, 1992).
    • (1992) Logic for Computer Science, MSRI Workshop Proc.
    • Lipton, J.1
  • 34
    • 0000610123 scopus 로고
    • On the algebra of logic: A contribution to the philosophy of notation
    • [29] C.S. Peirce, On the algebra of logic: a contribution to the philosophy of notation, Amer. J. Math. 8 (1885) 180-202.
    • (1885) Amer. J. Math. , vol.8 , pp. 180-202
    • Peirce, C.S.1
  • 35
    • 0003427959 scopus 로고
    • Almqvist & Wiksell, Stockholm
    • [30] D. Prawitz, Natural Deduction (Almqvist & Wiksell, Stockholm, 1965).
    • (1965) Natural Deduction
    • Prawitz, D.1
  • 36
    • 84966214811 scopus 로고
    • Propositional calculus and realizability
    • [31] G.F. Rose, Propositional calculus and realizability, Trans. Amer. Math. Soc. 75 (1953) 1-19.
    • (1953) Trans. Amer. Math. Soc. , vol.75 , pp. 1-19
    • Rose, G.F.1
  • 37
    • 0011555092 scopus 로고
    • A note on the friedman slash and the freyd covers
    • A. Troesltra and D. van Dalen, Eds., North-Holland, Amsterdam
    • [32] A. Scedrov and P. Scott, A note on the friedman slash and the freyd covers, in: A. Troesltra and D. van Dalen, Eds., The L.E.J. Brouwer Centenary Symp. (North-Holland, Amsterdam, 1982).
    • (1982) The L.E.J. Brouwer Centenary Symp.
    • Scedrov, A.1    Scott, P.2
  • 39
    • 0022068576 scopus 로고
    • Logical relations and the typed lambda calculus
    • [34] R. Statman, Logical relations and the typed lambda calculus, Inform. Control 65 (1985) 85-97.
    • (1985) Inform. Control , vol.65 , pp. 85-97
    • Statman, R.1


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