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Archive for Mathematical Logic

, Volume 42, Issue 7, pp 711–716 | Cite as

On the polynomial-space completeness of intuitionistic propositional logic

  • Vítězslav Švejdar
Article

Abstract.

We present an alternative, purely semantical and relatively simple, proof of the Statman's result that both intuitionistic propositional logic and its implicational fragment are PSPACE-complete.

Keywords

Intuitionistic logic Non-classical logics Decision problem Polynomial-space Kripke models Logical connectives 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Philosophical Faculty of Charles UniversityPraha 1Czech Republic

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