The Compactness of Belief Revision and Update Operators

  • Authors:
  • Paolo Liberatore;Marco Schaerf

  • Affiliations:
  • Dipartimento di Informatica e Sistemistica, Università di Roma "La Sapienza", Italy;Dipartimento di Informatica e Sistemistica, Università di Roma "La Sapienza", Italy

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2004

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Abstract

A propositional knowledge base can be seen as a compact representation of a set of models. When a knowledge base T is updated with a formula P, the resulting set of models can be represented in two ways: either by a theory T' that is equivalent to T*P or by the pair 〈T,P〉. The second representation can be super-polinomially more compact than the first. In this paper, we prove that the compactness of this representation depends on the specific semantics of *, e.g., Winslett's semantics is more compact than Ginsberg's.