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Hybrid Logics of Separation Axioms

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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.

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Authors and Affiliations

  1. Merton College, Merton Street, Oxford, OX1 4JD, UK

    Dmitry Sustretov

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  1. Dmitry Sustretov
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Correspondence to Dmitry Sustretov.

Additional information

The work presented in the article was carried out while the author was attached to the research team TALARIS at INRIA Nancy Grand-Est and was supported by an INRIA doctoral scholarship and a doctoral scholarship of the region of Lorraine.

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Sustretov, D. Hybrid Logics of Separation Axioms. J of Log Lang and Inf 18, 541–558 (2009). https://doi.org/10.1007/s10849-009-9091-z

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  • DOI: https://doi.org/10.1007/s10849-009-9091-z

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