Proceedings

Circumscribing Inconsistency

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Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence. Automated Reasoning. Pages 150-154.

Abstract

We present a new logical approach to reasoning from inconsistent information. The idea is to restore modelhood of inconsistent formulas by providing a third truth-value tolerating inconsistency. The novelty of our approach stems first from the restriction of entailment to three-valued models as similar as possible to two-valued models and second from an implication connective providing a notion of restricted monotonicity. After developing the semantics, we present a corresponding proof system that relies on a circumscription schema furnishing the syntactic counterpart of model minimization.

Philippe Besnard, and Torsten Schaub. 1997. Circumscribing Inconsistency. In Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence, IJCAI-97. IJCAI, 150–154. https://ijcai.org/proceedings/1997/23
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