Hybrid logics of separation axioms

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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DOI 10.1007/s10849-009-9091-z
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References found in this work BETA
Modal Logic with Names.George Gargov & Valentin Goranko - 1993 - Journal of Philosophical Logic 22 (6):607 - 636.
The Algebra of Topology.J. C. C. Mckinsey & Alfred Tarski - 1944 - Journal of Symbolic Logic 9 (4):96-97.
« Everywhere » and « Here ».Valentin Shehtman - 1999 - Journal of Applied Non-Classical Logics 9 (2-3):369-379.
Completeness of S4 with Respect to the Real Line: Revisited.Guram Bezhanishvili & Mai Gehrke - 2004 - Annals of Pure and Applied Logic 131 (1):287-301.

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