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Lattices Adequate for Intuitionistic Predicate Logic

In: Mathematical Logic

Author

Listed:
  • Wojciech Dzik

    (The Silesian University, Institute of Mathematics)

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.

Suggested Citation

  • Wojciech Dzik, 1990. "Lattices Adequate for Intuitionistic Predicate Logic," Springer Books, in: Petio Petrov Petkov (ed.), Mathematical Logic, pages 293-297, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0609-2_20
    DOI: 10.1007/978-1-4613-0609-2_20
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