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Publication Detail
Comonadic semantics for hybrid logic and bounded fragments
  • Publication Type:
    Journal article
  • Authors:
    Abramsky S, Marsden D
  • Publication date:
  • Keywords:
    cs.LO, cs.LO, math.CT
In recent work, comonads and associated structures have been used to analyse a range of important notions in finite model theory, descriptive complexity and combinatorics. We extend this analysis to Hybrid logic, a widely-studied extension of basic modal logic, which corresponds to the bounded fragment of first-order logic. In addition to characterising the various resource-indexed equivalences induced by Hybrid logic and the bounded fragment, and the associated combinatorial decompositions of structures, we also give model-theoretic characterisations of bounded formulas in terms of invariance under generated substructures, in both the finite and infinite cases.
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