Studia Logica

, Volume 85, Issue 3, pp 319–332 | Cite as

Kripke Models, Distributive Lattices, and Medvedev Degrees

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Abstract

We define a variant of the standard Kripke semantics for intuitionistic logic, motivated by the connection between constructive logic and the Medvedev lattice. We show that while the new semantics is still complete, it gives a simple and direct correspondence between Kripke models and algebraic structures such as factors of the Medvedev lattice.

Keywords

Kripke semantics Medvedev degrees intuitionistic propositional logic 

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.Institute for Discrete Mathematics and GeometryTechnical University of ViennaViennaAustria

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