Logic of Information Structures
Logic of Information Structures
Formal Concept Analysis: Mathematical Foundations
Formal Concept Analysis: Mathematical Foundations
Substructural Logics with Mingle
Journal of Logic, Language and Information
The description logic handbook: theory, implementation, and applications
The description logic handbook: theory, implementation, and applications
Linear Logics with Communication-merge
Journal of Logic and Computation
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We propose a proof-theoretical way of obtaining detailed and precise information on conceptual hierarchies. The notion of concept finding proof, which represents a hierarchy of concepts, is introduced based on a substructural logic with mingle and strong negation. Mingle, which is a structural inference rule, is used to represent a process for finding a more general (or specific) concept than some given concepts. Strong negation, which is a negation connective, is used to represent a concept inverse operator. The problem for constructing a concept finding proof is shown to be decidable in PTIME.