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Belief change in branching time: AGM-consistency and iterated revision

Author

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

We study belief change branching-time structures. First, we identify a property of branching-time frames that is equivalent to AGM-consistency, which is defined as follows. A frame is AGM-consistent if the partial belief revision function associated with an arbitrary state-instant pair and an arbitrary model based on that frame can be extended to a full belief revision function that satisfies the AGM postulates. Second, we provide a set of modal axioms that characterize the class of AGM-consistent frames within the modal logic introduced in [Bonanno, Axiomatic characterization of the AGM theory of belief revision in a temporal logic, Artificial Intelligence, 2007]. Third, we introduce a generalization of AGM belief revision functions that allows a clear statement of principles of iterated belief revision and discuss iterated revision both semantically and syntactically.

Suggested Citation

  • Giacomo Bonanno, 2010. "Belief change in branching time: AGM-consistency and iterated revision," Working Papers 283, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:283
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    File URL: https://repec.dss.ucdavis.edu/files/AyKTAaebbSBs1iLMn8qWzqoP/10-1.pdf
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    More about this item

    Keywords

    iterated belief revision; branching time; information; belief; modal logic; AGM belief revision;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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