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What Is an Ideal Logic for Reasoning with Inconsistency?

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Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence. Pages 706-710.

https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-125

Abstract

Many AI applications are based on some underlying logic that tolerates inconsistent information in a non-trivial way. However, it is not always clear what should be the exact nature of such a logic, and how to choose one for a specific application. In this paper, we formulate a list of desirable properties of `ideal' logics for reasoning with inconsistency, identify a variety of logics that have these properties, and provide a systematic way of constructing, for every n > 2, a family of such n-valued logics.

Ofer Arieli, Arnon Avron, and Anna Zamansky. 2011. What Is an Ideal Logic for Reasoning with Inconsistency?. In Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence, IJCAI-11. IJCAI, 706–710. https://doi.org/10.5591/978-1-57735-516-8/IJCAI11-125
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