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Axiomatization of the AGM theory of belief revision in a temporal logic

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

It is natural to think of belief revision as the interaction of belief and information over time. Thus branching-time temporal logic seems a natural setting for a theory of belief revision. We propose two extensions of a modal logic that, besides the ""next-time"" temporal operator, contains a belief operator and an information operator. The first logic is shown to provide an axiomatization of the first six postulates of the AGM theory of belief revision, while the second, stronger, logic provides an axiomatization of the full set of AGM postulates.

Suggested Citation

  • Giacomo Bonanno, 2006. "Axiomatization of the AGM theory of belief revision in a temporal logic," Working Papers 617, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:06-17
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    File URL: http://wp.econ.ucdavis.edu/06-17.pdf
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    References listed on IDEAS

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    1. E. Ray Canterbery, 1984. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 7(1), pages 4-6, October.
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    Keywords

    Belief revision; information; temporal logic; AGM theory;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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