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A modal logic translation of the AGM axioms for belief revision

Author

Listed:
  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

Building on the analysis of Bonanno (Artificial Intelligence, 2025) we introduce a simple modal logic containing three modal operators: a unimodal belief operator, a bimodal conditional operator and the unimodal global operator. For each AGM axiom for belief revision, we provide a corresponding modal axiom. The correspondence is as follows: each AGM axiom is characterized by a property of the Kripke-Lewis frames considered in Bonanno (Artificial Intelligence, 2025) and, in turn, that property characterizes the proposed modal axiom.

Suggested Citation

  • Giacomo Bonanno, 2025. "A modal logic translation of the AGM axioms for belief revision," Working Papers 368, University of California, Davis, Department of Economics.
    • Handle: RePEc:cda:wpaper:368
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    File URL: https://repec.dss.ucdavis.edu/files/42b8il3c6jtbyx88dwpgz8iy30wx/Modal_AGM.pdf
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    More about this item

    Keywords

    Belief revision; conditionals; counterfactuals; Kripke relation; Lewis selection function; modal logic; frame correspondence;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General

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