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Research developments in multiple inheritance with exceptions

Published online by Cambridge University Press:  07 July 2009

Peter W. Eklund
Peter W. Eklund
Affiliation:
Department of Computer Science, The University of Adelaide, Adelaide 5005, Australia
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Abstract

The inheritance problem can be simply stated: for any instantiation of an inheritance network, say a specific hierarchy Γ, find a conclusion set for Γ. In other words, find out what is logically entailed by Γ. This can be done in two ways: either by defining a deductive or proof theoretic definition to determine what paths are entailed by a network; or by translating the individual links in the network to a more general nonmonotonic logic and using its model and proof theory to generate entailments that correspond to what one would expect from “viewing” the inheritance hierarchy. Two approaches to a solution to the inheritance problem structure this paper. The first is widely known as the “path-based” or “proof theoretic”, and the second, the “Model-based” or “model theoretic”. The two approaches result in both a different interpretation of default links as well as a variation in the entailment strategy for a solution to teh inheritance problem. In either case, the entailments produced need some intuitive interpretation, which can be either credulous or skeptical. The semantics of both skeptical and credulous inheritance reasoners are examined.

Type
Research Article
Information
The Knowledge Engineering Review , Volume 9 , Issue 1 , March 1994 , pp. 21 - 55
Copyright
Copyright © Cambridge University Press 1994

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