Mathematics – Logic
Scientific paper
2010-11-25
Topological modal logics with difference modality. Advances in Modal Logic, Volume 6,pp 319-332, 2006
Mathematics
Logic
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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