Lattices Adequate for Intuitionistic Predicate Logic

Wojciech Dzik
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Wojciech Dzik: The Silesian University, Institute of Mathematics

A chapter in Mathematical Logic, 1990, pp 293-297 from Springer

Abstract: Abstract In this paper we show that there are many examples of adequate models for intuitionistic predicate logic (IPL) which appear in algebra and logic. We present a class of lattices, which are complete Heyting algebras, such that every lattice from this class is adequate for IPL in the sense that for every formula which cannot be derived in IPL and for every lattice L from the class there is a model of IPL over L in which the formula is not valid.

Keywords: Open Subset; Boolean Algebra; Metrizable Space; Heyting Algebra; Countable Basis (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0609-2_20

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DOI: 10.1007/978-1-4613-0609-2_20

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