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Resolving Ambiguity in Nonmonotonic Inheritance Hierarchies

Author(s)
Stein, Lynn Andrea
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Abstract
This paper describes a theory of inheritance theories. We present an original theory of inheritance in nonmonotonic hierarchies. The structures on which this theory is based delineate a framework that subsumes most inheritance theories in the literature, providing a new foundation for inheritance. * Our path-based theory is sound and complete w.r.t. a direct model-theoretic semantics. * Both the credulous and the skeptical conclusions of this theory are polynomial-time computable. * We prove that true skeptical inheritance is not contained in the language of path-based inheritance. Because our techniques are modular w.r.t. the definition of specificity, they generalize to provide a unified framework for a broad class of inheritance theories. By describing multiple inheritance theories in the same "language" of credulous extensions, we make principled comparisons rather than the ad-hoc examination of specific examples makes up most of the comparative inheritance work.
Date issued
1991-08-01
URI
http://hdl.handle.net/1721.1/6577
Other identifiers
AIM-1316
Series/Report no.
AIM-1316

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  • AI Memos (1959 - 2004)

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