Coalgebraic modal logic in COCASL

  • Authors:
  • Lutz Schröder;Till Mossakowski

  • Affiliations:
  • Department of Computer Science, University of Bremen, and DFKI Lab Bremen, Germany;Department of Computer Science, University of Bremen, and DFKI Lab Bremen, Germany

  • Venue:
  • WADT'06 Proceedings of the 18th international conference on Recent trends in algebraic development techniques
  • Year:
  • 2006

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Abstract

We propose to extend the algebraic-coalgebraic specification language COCASL by full coalgebraic modal logic based on predicate liftings for functors. This logic is more general than the modal logic previously used in COCASL and supports the specification of a variety of modal logics, such as graded modal logic, majority logic, and probabilistic modal logic. COCASL thus becomes a modern modal language that covers a wide range of Kripke and non-Kripke semantics of modal logics via the coalgebraic interpretation.