AAAI Publications, Twenty-Second International Joint Conference on Artificial Intelligence

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What Is an Ideal Logic for Reasoning with Inconsistency?
Ofer Arieli, Arnon Avron, Anna Zamansky

Last modified: 2011-06-28


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.

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