Abstract

This paper presents the basic ideas of a consistency-based approach to Belief Revision that allows the rejection of the newcoming information. This choice is justified for some application domains and leads to the definition of two distinct sets of formulas: the “Belief Base”, which is the eventually inconsistent collection of all the available pieces of information, and the “Reasoning Base” which is the consistent outcome of the revision process. The selection of the Reasoning Base, among the many possible maximally consistent subsets of the Belief Base, is induced by an ordering on the sentences that does not reflect necessarily the chronological order of the arrivals of the information.

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