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Iterated Belief Revision and Conditional Logic

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Abstract

In this paper we propose a conditional logic called IBC to represent iterated belief revision systems. We propose a set of postulates for iterated revision which are a small variant of Darwiche and Pearl's ones. The conditional logic IBC has a standard semantics in terms of selection function models and provides a natural representation of epistemic states. We establish a correspondence between iterated belief revision systems and IBC-models. Our representation theorem does not entail Gärdenfors' Triviality Result.

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Giordano, L., Gliozzi, V. & Olivetti, N. Iterated Belief Revision and Conditional Logic. Studia Logica 70, 23–47 (2002). https://doi.org/10.1023/A:1014602224874

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