Constructive sheaf semantics

Mathematical Logic Quarterly 43 (3):321-327 (1997)

Sheaf semantics is developed within a constructive and predicative framework, Martin-Löf's type theory. We prove strong completeness of many sorted, first order intuitionistic logic with respect to this semantics, by using sites of provably functional relations
Keywords Completeness  Sheaf semantics  Constructive model theory  Intuitionistic logic
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DOI 10.1002/malq.19970430304
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References found in this work BETA

A Model for Intuitionistic Non-Standard Arithmetic.Ieke Moerdijk - 1995 - Annals of Pure and Applied Logic 73 (1):37-51.
Minimal Models of Heyting Arithmetic.Ieke Moerdijk & Erik Palmgren - 1997 - Journal of Symbolic Logic 62 (4):1448-1460.
Intuitionistic Type Theory.W. A. Howard - 1986 - Journal of Symbolic Logic 51 (4):1075-1076.

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Forcing in Proof Theory.Jeremy Avigad - 2004 - Bulletin of Symbolic Logic 10 (3):305-333.
Classifying Toposes for First-Order Theories.Carsten Butz & Peter Johnstone - 1998 - Annals of Pure and Applied Logic 91 (1):33-58.

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