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.
The logic of vague categories
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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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Fuzzy Lattice-based Description Logic
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.