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arXiv · 1411.7158

Cathoristic logic: A modal logic of incompatible propositions

Richard Prideaux Evans·Martin Berger
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Abstract

Cathoristic logic is a multi-modal logic where negation is replaced by a novel operator allowing the expression of incompatible sentences. We present the syntax and semantics of the logic including complete proof rules, and establish a number of results such as compactness, a semantic characterisation of elementary equivalence, the existence of a quadratic-time decision procedure, and Brandom's incompatibility semantics property. We demonstrate the usefulness of the logic as a language for knowledge representation.

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Richard Prideaux Evans, Martin Berger. 2014-11-26. Cathoristic logic: A modal logic of incompatible propositions. https://arxiv.org/abs/1411.7158

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