A modal logic translation of the AGM axioms for belief revision

Giacomo Bonanno

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arXiv · 2502.14176

A modal logic translation of the AGM axioms for belief revision

Giacomo Bonanno

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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.

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Giacomo Bonanno. 2025-02-20. A modal logic translation of the AGM axioms for belief revision. https://arxiv.org/abs/2502.14176

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