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 satisfiability 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.
Part of this work was carried out while being a guest at IRST, Trento.
This work was supported by the Esprit Project 22469 — DWQ and the DFG, Project No. GR 1324/3-1.
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Department of Computer Science, University of Manchester, Manchester
Ian Horrocks
LuFG Theoretical Computer Science, RWTH Aachen, Aachen
Ulrike Sattler & Stephan Tobies
Max-Planck-Institut für Informatik, Im Stadtwald, D-66123, Saarbrücken, Germany
Harald Ganzinger
AT&T Labs Research, 180 Park Ave, Florham Park, NJ, 07932-0971, USA
David McAllester
Department of Computer Science, University of Manchester, Oxford Road, M13 9PL, Manchester, UK
Andrei Voronkov
© 1999 Springer-Verlag Berlin Heidelberg
About this paper Cite this paperHorrocks, I., Sattler, U., Tobies, S. (1999). Practical Reasoning for Expressive Description Logics. In: Ganzinger, H., McAllester, D., Voronkov, A. (eds) Logic for Programming and Automated Reasoning. LPAR 1999. Lecture Notes in Computer Science(), vol 1705. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48242-3_11
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66492-5
Online ISBN: 978-3-540-48242-0
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