Proceedings

Decidability of SHIQ with Complex Role Inclusion Axioms

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Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence. Pages 343-347.

Abstract

Motivated by medical terminology applications, we investigate the decidability of the well known expressive DL, SHIQ, extended with role inclusion axioms (RIAs) of the form R o S ~ P. We show that this extension is undecidable even when RIAs are restricted to the forms R o S ~ R or So R ~ R, but that decidability can be regained by further restricting RIAs to be acyclic. We present a tableau algorithm for this DL and report on its implementation, which behaves well in practise and provides important additional functionality in a medical terminology application.

Ian Horrocks, and Ulrike Sattler. 2003. Decidability of SHIQ with Complex Role Inclusion Axioms. In Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence, IJCAI-03. IJCAI, 343–347. https://ijcai.org/proceedings/2003/51
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