Decidability of SHIQ with complex role inclusion axioms

  • Authors:
  • Ian Horrocks;Ulrike Sattler

  • Affiliations:
  • Department of Computer Science, University of Manchester, UK;Institut fur Theoretische Informatik, TU Dresden, Germany

  • Venue:
  • IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
  • Year:
  • 2003

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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 Ro S ⊆ P. We show that this extension is undecidable even when RIAs are restricted to the forms RoS ⊆ R or SoR ⊆ R,k 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.