Distance semantics for belief revision

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 α as the theory defined by the set of all those models of α 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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References found in this work

Two modellings for theory change.Adam Grove - 1988 - Journal of Philosophical Logic 17 (2):157-170.
Knowledge in Flux.Henry E. Kyburg & Peter Gardenfors - 1993 - Noûs 27 (4):519-521.
On the logic of iterated belief revision.Adnan Darwiche & Judea Pearl - 1997 - Artificial Intelligence 89 (1-2):1-29.

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