Algebras as knowledge structures

  • Authors:
  • Bernhard Heinemann

  • Affiliations:
  • Fachbereich Informatik, FernUniversität in Hagen, Hagen, Germany

  • Venue:
  • MFCS'05 Proceedings of the 30th international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2005

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Abstract

We start investigating set algebras from a knowledge theoretical point of view. To this end, we suit hybrid logic to the context of knowledge. The common modal approach is extended in this way, which gives us the necessary expressive power. The main issues of the paper are a completeness and a decidability result for the arising logic of knowledge on algebras.