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Journal of Philosophical Logic

, Volume 38, Issue 2, pp 151–177 | Cite as

A Loop-Free Decision Procedure for Modal Propositional Logics K4, S4 and S5

  • Dorota Leszczyńska-JasionEmail author
Article

Abstract

The aim of this paper is to present a loop-free decision procedure for modal propositional logics K4, S4 and S5. We prove that the procedure terminates and that it is sound and complete. The procedure is based on the method of Socratic proofs for modal logics, which is grounded in the logic of questions IEL.

Key words

logic of questions loop-free procedures the method of Socratic proofs transitive modal logics 

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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Section of Logic and Cognitive Science, Institute of PsychologyAdam Mickiewicz UniversityPoznańPoland

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