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Guarded hybrid knowledge bases12

Published online by Cambridge University Press:  01 May 2008

STIJN HEYMANS
Affiliation:
Digital Enterprise Research Institute, University of Innsbruck, Technikerstrasse 21a, Innsbruck, Austria (e-mail: stijn.heymans@deri.at)
JOS DE BRUIJN
Affiliation:
Faculty of Computer Science, Free University of Bozen-Bolzano, I-39100 Bozen-Bolzano, Italy (e-mail: debruijn@inf.unibz.it)
LIVIA PREDOIU
Affiliation:
Institute of Computer Science, University of Mannheim, A5, 6 68159 Mannheim, Germany (e-mail: livia@informatik.uni-mannheim.de)
CRISTINA FEIER
Affiliation:
Digital Enterprise Research Institute, University of Innsbruck, Technikerstrasse 21a, Innsbruck, Austria (e-mail: cristina.feier@deri.at)
DAVY VAN NIEWENBORGH
Affiliation:
Department of Computer Science, Vrije Universiteit Brussel, VUB, Pleinlaan 2, B1050 Brussels, Belgium (e-mail: dvnieuwe@vub.ac.be)
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Abstract

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Recently, there has been a lot of interest in the integration of Description Logics (DL) and rules on the Semantic Web. We define guarded hybrid knowledge bases (or g-hybrid knowledge bases) as knowledge bases that consist of a Description Logic knowledge base and a guarded logic program, similar to the $\mathcal{DL}$ + log knowledge bases from Rosati (In Proceedings of the 10th International Conference on Principles of Knowledge Representation and Reasoning, AAAI Press, Menlo Park, CA, 2006, pp. 68–78.). g-Hybrid knowledge bases enable an integration of Description Logics and Logic Programming where, unlike in other approaches, variables in the rules of a guarded program do not need to appear in positive non-DL atoms of the body, i.e., DL atoms can act as guards as well. Decidability of satisfiability checking of g-hybrid knowledge bases is shown for the particular DL $\mathcal{DLRO}^{\-{le}}$, which is close to OWL DL, by a reduction to guarded programs under the open answer set semantics. Moreover, we show 2-Exptime-completeness for satisfiability checking of such g-hybrid knowledge bases. Finally, we discuss advantages and disadvantages of our approach compared with $\mathcal{DL}$ + log knowledge bases.

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Type
Regular Papers
Copyright
Copyright © Cambridge University Press 2008