Unifiability in extensions of K4


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Gencer C., De Jongh D.

LOGIC JOURNAL OF THE IGPL, vol.17, no.2, pp.159-172, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1093/jigpal/jzn032
  • Journal Name: LOGIC JOURNAL OF THE IGPL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.159-172
  • Istanbul Kültür University Affiliated: Yes

Abstract

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.