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Inconsistency Management and Prioritized Syntax-Based Entailment

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Proceedings of the Thirteenth International Joint Conference on Artificial Intelligence. Knowledge Representation. Pages 640-646.

Abstract

The idea of ordering plays a basic role in commonsense reasoning for addressing three interrelated tasks: inconsistency handling, belief revision and plausible inference. We study the behavior of non-monotonic inferences induced by various methods for priority-based handling of inconsistent sets of classical formulas. One of them is based on a lexicographic ordering of maximal consistent subsets, and refmes Brewka's preferred sub-theories. This new approach leads to a non-monotonic inference which satisfies the "rationality" property while solving the problem of blocking of property inheritance. It differs from and improves previous equivalent approaches such as Gardenfors and Makinson's expectation-based inference, Pearl's System Z and possibilistic logic.

Salem Benferhat, Claudette Cayrol, Didier Dubois, Jérôme Lang, and Henri Prade. 1993. Inconsistency Management and Prioritized Syntax-Based Entailment. In Proceedings of the Thirteenth International Joint Conference on Artificial Intelligence, IJCAI-93. IJCAI, 640–646. https://ijcai.org/proceedings/1993/90
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