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JACIII Vol.15 No.7 pp. 777-784
doi: 10.20965/jaciii.2011.p0777
(2011)

Paper:

Concept Finding Proofs

Norihiro Kamide

Waseda Institute for Advanced Study, Waseda University, 1-6-1 Nishi Waseda, Shinjuku-ku, Tokyo 169-8050, Japan

Received:
February 27, 2011
Accepted:
May 20, 2011
Published:
September 20, 2011
Keywords:
concept finding proof, conceptual hierarchy, substructural logic, mingle, strong negation
Abstract

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.1 1. This paper is an extended version of [1].

Cite this article as:
Norihiro Kamide, “Concept Finding Proofs,” J. Adv. Comput. Intell. Intell. Inform., Vol.15, No.7, pp. 777-784, 2011.
Data files:
References
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