Epistemic-entrenchment characterization of Parikh's axiom

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Conference Proceeding
IJCAI International Joint Conference on Artificial Intelligence, 2017, pp. 772 - 778
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In this article, we provide the epistemicentrenchment characterization of the weak version of Parikh's relevance-sensitive axiom for belief revision - known as axiom (P) - for the general case of incomplete theories. Loosely speaking, axiom (P) states that, if a belief set K can be divided into two disjoint compartments, and the new information φ relates only to the first compartment, then the second compartment should not be affected by the revision of K by φ. The above-mentioned characterization, essentially, constitutes additional constraints on epistemicentrenchment preorders, that induce AGM revision functions, satisfying the weak version of Parikh's axiom (P).
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