Distance Semantics for Belief Revision

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Journal of Symbolic Logic 66 (1):295-317 (2001)
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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 $\alpha$ as the theory defined by the set of all those models of $\alpha$ 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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Citations of this work

AGM 25 Years: Twenty-Five Years of Research in Belief Change.Eduardo Fermé & Sven Ove Hansson - 2011 - Journal of Philosophical Logic 40 (2):295 - 331.
How to Revise a Total Preorder.Richard Booth & Thomas Meyer - 2011 - Journal of Philosophical Logic 40 (2):193 - 238.
Roadmap for preferential logics.Dov M. Gabbay & Karl Schlechta - 2009 - Journal of Applied Non-Classical Logics 19 (1):43-95.

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