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The logic of vague categories

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arxiv 1908.04816 v1 pith:USUXVRD6 submitted 2019-08-13 math.LO

Willem Conradie , Alessandra Palmigiano , Claudette Robinson , Apostolos Tzimoulis , Nachoem M. Wijnberg This is my paper · ORCID
classification math.LO
keywords formalanalysislogicmany-valuedsemanticsapplicationsbasiccategories
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We introduce a complete many-valued semantics for basic normal lattice-based modal logic. This relational semantics is grounded on many-valued formal contexts from Formal Concept Analysis. We discuss an interpretation and possible applications of this logical framework for categorization theory to the formal analysis of multi-market competition.

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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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