Published January 1, 2009 | Version v1
Journal article Open

Unifiability in extensions of K4

  • 1. Istanbul Kultur Univ, Dept Math & Comp Sci, TR-34156 Istanbul, Turkey
  • 2. Univ Amsterdam, Inst Log Language & Computat, NL-1018 TV Amsterdam, Netherlands

Description

We extend and generalize the work on unifiability of [8]. We give a semantic characterization for unifiability and non-unifiability in the extensions of K4. We apply this in particular to extensions of KD4, GL and K4.3 to obtain a syntactic characterization and give a concrete decision procedure for unifiability for those logics. For that purpose we use universal models.

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