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Goldblatt-Thomason for LE-logics

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arxiv 1809.08225 v1 pith:HCO6ESZC submitted 2018-09-21 math.LO

classification math.LO
keywords goldblatt-thomasonle-logicsnormalalgebraicallycapturedexpansionslatticelogics
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We prove a uniform version of the Goldblatt-Thomason theorem for logics algebraically captured by normal lattice expansions (normal LE-logics).

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Vector spaces as Kripke frames

    cs.LO 2019-08 accept novelty 7.0 of 10

    Vector spaces equipped with a bilinear product are shown to form Kripke-style frames whose subspace lattices are complete residuated lattices, yielding a complete vector space semantics for the modal non-associative L...

  2. Modelling socio-political competition

    math.LO 2019-08 conditional novelty 6.0 of 10

    A many-valued, multi-type modal logic for socio-political competition is axiomatized and proven complete with respect to graph-based semantics over enriched reflexive graphs.

  3. The logic of vague categories

    math.LO 2019-08 conditional novelty 4.0 of 10

    The basic normal lattice-based modal logic is sound and complete with respect to many-valued enriched formal contexts, with an illustrative proposal for analyzing multi-market competition.

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