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Publication Detail
Comonadic semantics for hybrid logic
  • Publication Type:
    Conference
  • Authors:
    Abramsky S, Marsden D
  • Publication date:
    22/08/2022
  • Published proceedings:
    Leibniz International Proceedings in Informatics, LIPIcs
  • Volume:
    241
  • ISBN-13:
    9783959772563
  • Status:
    Published
  • Name of conference:
    47th International Symposium on Mathematical Foundations of Computer Science (MFCS 2022)
  • Print ISSN:
    1868-8969
Abstract
Hybrid logic is a widely-studied extension of basic modal logic, which corresponds to the bounded fragment of first-order logic. We study it from two novel perspectives: (1) We apply the recently introduced paradigm of comonadic semantics, which provides a new set of tools drawing on ideas from categorical semantics which can be applied to finite model theory, descriptive complexity and combinatorics. (2) We give a novel semantic characterization of hybrid logic in terms of invariance under disjoint extensions, a minimal form of locality. A notable feature of this result is that we give a uniform proof, valid for both the finite and infinite cases.
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