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arXiv · 1507.06113

Reflexive insensitive modal logics

David Gilbert·Giorgio Venturi
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Abstract

We analyze a class of modal logics rendered insensitive to reflexivity by way of a modification to the semantic definition of the modal operator. We explore the extent to which these logics can be characterized, and prove a general completeness theorem on the basis of a translation between normal modal logics and their reflexive-insensitive counterparts. Lastly, we provide a sufficient semantic condition describing when a similarly general soundness result is also available.

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David Gilbert, Giorgio Venturi. 2015-07-22. Reflexive insensitive modal logics. https://doi.org/10.1017/s175502031500026x

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