Practical Reasoning for Expressive Description Logics

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Practical Reasoning for Expressive Description Logics (1999)

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by Ian Horrocks , Ulrike Sattler , Stephan Tobies

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353 - 64 self

BibTeX

@MISC{Horrocks99practicalreasoning,
    author = {Ian Horrocks and Ulrike Sattler and Stephan Tobies},
    title = {Practical Reasoning for Expressive Description Logics},
    year = {1999}
}

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Abstract

. Description Logics (DLs) are a family of knowledge representation formalisms mainly characterised by constructors to build complex concepts and roles from atomic ones. Expressive role constructors are important in many applications, but can be computationally problematical. We present an algorithm that decides satis ability of the DL ALC extended with transitive and inverse roles, role hierarchies, and qualifying number restrictions. Early experiments indicate that this algorithm is well-suited for implementation. Additionally, we show that ALC extended with just transitive and inverse roles is still in PSpace. Finally, we investigate the limits of decidability for this family of DLs.

Keyphrases

practical reasoning expressive description logic inverse role role hierarchy many application dl alc atomic one early experiment knowledge representation description logic complex concept satis ability expressive role constructor number restriction

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