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Distance semantics for belief revision

Published online by Cambridge University Press:  12 March 2014

Daniel Lehmann ,
Menachem Magidor  and
Karl Schlechta
Daniel Lehmann
Affiliation:
Institute of Computer Science, Hebrew University, 91904 Jerusalem, Israel, E-mail: lehmann@cs.huji.ac.il
Menachem Magidor
Affiliation:
Institute of Mathematics, Hebrew University, 91904 Jerusalem, Israel, E-mail: menachem@math.huji.ac.il
Karl Schlechta
Affiliation:
Laboratoire d'Informatique de Marseille, CNRS ESA 6077, CMI, 39 Rue Joliot Curie, F-13453 Marseille Cédex 13, France, E-mail: ks@cmi.univ-mrs.fr
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Abstract

A vast and interesting family of natural semantics lor 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 1 , March 2001 , pp. 295 - 317
Copyright
Copyright © Association for Symbolic Logic 2001

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