Admissibility of Cut in Coalgebraic Logics

  • Authors:
  • Dirk Pattinson;Lutz Schröder

  • Affiliations:
  • Department of Computing, Imperial College London, UK;DFIK-Lab Bremen and Department of Computer Science, Universität Bremen, Germany

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2008

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Abstract

We study sequent calculi for propositional modal logics, interpreted over coalgebras, with admissibility of cut being the main result. As applications we present a new proof of the (already known) interpolation property for coalition logic and establish the interpolation property for the conditional logics CK and CK"I"d.