Relational semantics through duality

  • Authors:
  • Ewa Orłowska;Ingrid Rewitzky;Ivo Düntsch

  • Affiliations:
  • National Institute of Telecommunications, Warsaw;University of Stellenbosch, South Africa;Brock University, Canada

  • Venue:
  • RelMiCS'05 Proceedings of the 8th international conference on Relational Methods in Computer Science, Proceedings of the 3rd international conference on Applications of Kleene Algebra
  • Year:
  • 2005

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Abstract

In this paper we show how the classical duality results extended to a Duality via Truth contribute to development of a relational semantics for various modal-like logics. In particular, we present a Duality via Truth for some classes of information algebras and frames. We also show that the full categorical formulation of classical duality extends to a full Duality via Truth.