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Distance Semantics for Belief Revision

Daniel Lehmann·Menachem Magidor·Karl Schlechta
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Abstract

A vast and interesting family of natural semantics for belief revision is defined. Suppose one is given a distance d between any two models. One may then define the revision of a theory K by a formula a as the theory defined by the set of all those models of a that are closest, by d, to the set of models of K. This family is characterized by a set of rationality postulates that extends the AGM postulates. The new postulates describe properties of iterated revisions.

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Daniel Lehmann, Menachem Magidor, Karl Schlechta. 2002-02-18. Distance Semantics for Belief Revision. https://arxiv.org/abs/cs/0202025

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