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arXiv · 1011.5687

Topological Modal Logics with Difference Modality

Kudinov Andrey
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Abstract

We consider propositional modal logic with two modal operators $\Box$ and $\D$. In topological semantics $\Box$ is interpreted as an interior operator and $\D$ as difference. We show that some important topological properties are expressible in this language. In addition, we present a few logics and proofs of f.m.p. and of completeness theorems.

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Kudinov Andrey. 2010-11-25. Topological Modal Logics with Difference Modality. https://arxiv.org/abs/1011.5687

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