Topological Modal Logics with Difference Modality

Mathematics – Logic

Scientific paper

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Advances in Modal Logic, Volume 6, 2006

Scientific paper

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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