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The Compactness of Belief Revision and Update Operators

Liberatore P., Schaerf M.

Fundamenta Informaticae

2004

Vol. 62, nr 3,4

377--393

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 *, , Winslett's semantics is more compact than Ginsberg's.