Belief revision in the situation calculus without plausibility levels

  • Authors:
  • Robert Demolombe;Pilar Pozos Parra

  • Affiliations:
  • ONERA Toulouse, France;Universidad Tecnológica de la Mixteca, Mexico

  • Venue:
  • ISMIS'06 Proceedings of the 16th international conference on Foundations of Intelligent Systems
  • Year:
  • 2006

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Abstract

The Situation Calculus has been used by Scherl and Levesque to represent beliefs and belief change without modal operators thanks to a predicate plays the role of an accessibility relation. Their approach has been extended by Shapiro et al. to support belief revision. In this extension plausibility levels are assigned to each situation, and the believed propositions are the propositions that are true in all the most plausible accessible situations. Their solution is quite elegant from a theoretical point of view but the definition of the plausibility assignment, for a given application domain, raises practical problems. This paper presents a new proposal that does not make use of plausibilities. The idea is to include the knowledge producing actions into the successor state axioms. In this framework each agent may have a different successor state axiom for a given fluent. Then, each agent may have his subjective view of the evolution of the world. Also, agents may know or may not know that a given action has been performed. That is, the actions are not necessarily public.