Modelling Change with the Aid of Knowledge and Time

  • Authors:
  • Bernhard Heinemann

  • Affiliations:
  • -

  • Venue:
  • FCT '01 Proceedings of the 13th International Symposium on Fundamentals of Computation Theory
  • Year:
  • 2001

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Abstract

This paper is about a formalism describing the change of a given set in the course of time. Starting at the Halpern-Moses semantics of evolving knowledge in distributed systems and restricting attention to synchronous ones, then the knowledge state of an agent having a part in the system represents a paradigm for such a changing set, and also a guide to our modelling attempt. We develop an appropiate language of change and axiomatize the set of theorems of a corresponding logic. Afterwards, we are concerned with the basic properties of the resulting system: semantic completeness, decidability, and complexity. It turns out that simplicity of the facts is reflected as simplicity of the system, in a sense.