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arXiv · 1905.03477

Strong completeness of modal logics over 0-dimensional metric spaces

Robert Goldblatt·Ian Hodkinson
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Abstract

We prove strong completeness results for some modal logics with the universal modality, with respect to their topological semantics over 0-dimensional dense-in-themselves metric spaces. We also use failure of compactness to show that, for some languages and spaces, no standard modal deductive system is strongly complete.

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BibTeXRIS

Robert Goldblatt, Ian Hodkinson. 2019-05-09. Strong completeness of modal logics over 0-dimensional metric spaces. https://doi.org/10.1017/s1755020319000534

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