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Non-distributive logics: from semantics to meaning

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arxiv 2002.04257 v2 pith:TMAEKMP6 submitted 2020-02-11 math.LO

Willem Conradie , Alessandra Palmigiano , Claudette Robinson , Nachoem Wijnberg This is my paper · ORCID
classification math.LO
keywords logicsnon-distributivemeaningsemanticsbroadercharacterizationconceptualconsider
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We discuss an ongoing line of research in the relational (non topological) semantics of non-distributive logics. The developments we consider are technically rooted in dual characterization results and insights from unified correspondence theory. However, they also have broader, conceptual ramifications for the intuitive meaning of non-distributive logics, which we explore.

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  1. Fuzzy Lattice-based Description Logic

    cs.LO 2025-06 conditional novelty 6.0 of 10

    LE-FALC is a fuzzy lattice-based description logic with a sound and complete polynomial-time tableaux algorithm for ABox consistency, and an exponential-time procedure for acyclic TBoxes via unraveling.

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