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A Resolution−Based Decision Procedure for SHOIQ

Yevgeny Kazakov and Boris Motik

Abstract

We present a resolution-based decision procedure for the description logic SHOIQ—-the logic underlying the Semantic Web ontology language OWL-DL. Our procedure is goal-oriented, and it naturally extends a similar procedure for SHIQ, which has proven itself in practice. Extending this procedure to SHOIQ using existing techniques is not straightforward because of nominals, number restrictions, and inverse roles—-a combination known to cause termination problems. We overcome this difficulty by using basic superposition calculus extended with custom simplification rules.

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Journal

Journal of Automated Reasoning

Number

2−3

Pages

89−116

Volume

40

Year

2008

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