IDA Dept. of Computer and Information science, Linköping University

IDA Technical Reports: abstract

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Padgham, L. and Lambrix, P. (1994). A Framework for Part-of Hierarchies in Terminological Logics. Technical Report LiTH-IDA-R-94-30, Department of Computer and Information Science, Linköping University, Sweden. Accepted to Principles of Knowledge Representation and Reasoning, Proceedings of the Fourth International Conference, Eds. Doyle, Sandewall, Torasso, pages:485-496 Bonn, Germany, May 24-27, 1994. (bibtex),

Abstract: There is a growing recognition that part-whole hierarchies are a very general form of representation, widely used by humans in commonsense reasoning. This paper develops a terminological logic, and related inference mechanisms for representing and reasoning about composite concepts and individuals. A basic terminological logic language is extended with constructs for describing composite concepts in terms of their parts and the relationships between them. A part-of hierarchy is defined, based on the relationship of compositional inclusion. This part-of hierarchy is analogous to, but different from, the "is-a" hierarchy. Compositional inferencing is defined as a process which infers the existence of a whole, based on the existence of the required parts, where the parts are in the necessary relationship to each other. Three stable states are defined with respect to compositional inferencing - compositional extensions, credulous compositional extensions and skeptical compositional conclusions. This framework significantly enhances and is complementary to, knowledge representation and reasoning based on is-a hierarchies.

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