A sketch of a dynamic epistemic semiring

  • Authors:
  • Kim Solin

  • Affiliations:
  • Department of Philosophy, Uppsala University, Box 627, SE-751 26, Uppsala, Sweden

  • Venue:
  • Information and Computation
  • Year:
  • 2010

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Abstract

This paper proposes a semiring formulation for reasoning about an agent's changing beliefs: a dynamic epistemic semiring (DES). A DES is a modal semiring extended with epistemic-action operators. The paper concentrates on the revision operator by proposing an axiomatisation, developing a basic calculus and deriving the classical AGM revision axioms in the algebra. Iterated action is also considered.