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Constructive Sheaf Semantics
Mathematical Logic Quarterly 43 (3):321-327 (1997)
Abstract
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.Links
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Citations of this work
Classifying toposes for first-order theories.Carsten Butz & Peter Johnstone - 1998 - Annals of Pure and Applied Logic 91 (1):33-58.
References found in this work
Per Martin-Löf. Intuitionistic type theory. Studies in proof theory. Bibliopolis, Naples1984, ix + 91 pp.W. A. Howard - 1986 - Journal of Symbolic Logic 51 (4):1075-1076.
A model for intuitionistic non-standard arithmetic.Ieke Moerdijk - 1995 - Annals of Pure and Applied Logic 73 (1):37-51.
Pretopologies and completeness proofs.Giovanni Sambin - 1995 - Journal of Symbolic Logic 60 (3):861-878.
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