Distance semantics for belief revision

Journal of Symbolic Logic 66 (1):295-317 (2001)
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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DOI 10.2307/2694923
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Dov M. Gabbay & Karl Schlechta (2009). Roadmap for Preferential Logics. Journal of Applied Non-Classical Logics 19 (1):43-95.
Dov M. Gabbay & Karl Schlechta (2010). Semantic Interpolation. Journal of Applied Non-Classical Logics 20 (4):345-371.

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