Hybrid logics of separation axioms

Abstract
We study hybrid logics in topological semantics. We prove that hybrid logics of separation axioms are complete with respect to certain classes of finite topological models. This characterisation allows us to obtain several further results. We prove that aforementioned logics are decidable and PSPACE-complete, the logics of T 1 and T 2 coincide, the logic of T 1 is complete with respect to two concrete structures: the Cantor space and the rational numbers.
Keywords Hybrid logic  Modal logic  Topological semantics  Decidability  Computational complexity
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References found in this work BETA
George Gargov & Valentin Goranko (1993). Modal Logic with Names. Journal of Philosophical Logic 22 (6):607 - 636.
Valentin Shehtman (1999). « Everywhere » and « Here ». Journal of Applied Non-Classical Logics 9 (2-3):369-379.
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