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Lattices Adequate for Intuitionistic Predicate Logic

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Mathematical Logic

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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.

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References

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Author information

Authors and Affiliations

  1. Institute of Mathematics, The Silesian University, Katowice, Poland

    Wojciech Dzik

Authors
  1. Wojciech Dzik
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Editor information

Editors and Affiliations

  1. Sofia University, Sofia, Bulgaria

    Petio Petrov Petkov

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© 1990 Plenum Press, New York

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Dzik, W. (1990). Lattices Adequate for Intuitionistic Predicate Logic. In: Petkov, P.P. (eds) Mathematical Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0609-2_20

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  • DOI: https://doi.org/10.1007/978-1-4613-0609-2_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-7890-0

  • Online ISBN: 978-1-4613-0609-2

  • eBook Packages: Springer Book Archive

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