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arXiv · 2307.05629

Characterization of AGM Belief Contraction in Terms of Conditionals

Giacomo Bonanno
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Abstract

We provide a semantic characterization of AGM belief contraction based on frames consisting of a Kripke belief relation and a Stalnaker-Lewis selection function. The central idea is as follows. Let K be the initial belief set and K-A be the contraction of K by the formula A; then B belongs to the set K-A if and only if, at the actual state, the agent believes B and believes that if not-A is (were) the case then B is (would be) the case.

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Giacomo Bonanno. 2023-07-11. Characterization of AGM Belief Contraction in Terms of Conditionals. https://doi.org/10.4204/eptcs.379.13

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