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Contextual Negations and Reasoning with Contradictions

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Proceedings of the Twelfth International Joint Conference on Artificial Intelligence. Knowledge Representation. Pages 532-536.

Abstract

This paper introduces the logical basis for modelling the phenomenon of reasoning in the presence of contradiction, by identifying this problem with the notion of change of context . We give here the basic definitions of a new semantics, which works by interpreting one logic into a family of logics via translations, which we call semantics of translations. As a particular application we show that a simple logic supporting contradictions can be constructed translating classical logic into three-valued logics. This translation semantics offers a new interpretation to certain paraconsistent logics which allows the application of them to automated reasoning and knowledge representation.

Walter Alexandre Carnielli, Luis Fariñas del Cerro, and Mamede Lima-Marques. 1991. Contextual Negations and Reasoning with Contradictions. In Proceedings of the Twelfth International Joint Conference on Artificial Intelligence, IJCAI-91. IJCAI, 532–536. https://ijcai.org/proceedings/1991/80
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