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Tableaux with Global Caching for Checking Satisfiability of a Knowledge Base in the Description Logic \(\mathcal{SH}\)

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Book cover Transactions on Computational Collective Intelligence I

Part of the book series: Lecture Notes in Computer Science ((TCCI,volume 6220))

Abstract

Description logics (DLs) are a family of knowledge representation languages which can be used to represent the terminological knowledge of an application domain in a structured and formally well-understood way. DLs can be used, for example, for conceptual modeling or as ontology languages. In fact, OWL (Web Ontology Language), recommended by W3C, is based on description logics.

In the current paper we give the first direct ExpTime (optimal) tableau decision procedure, which is not based on transformation or on the pre-completion technique, for checking satisfiability of a knowledge base in the description logic \(\mathcal{SH}\). Our procedure uses sound global caching and can be implemented as an extension of the highly optimized tableau prover TGC to obtain an efficient program for the mentioned satisfiability problem.

Supported by grants N N206 399134 and N N206 370739 from the Polish Ministry of Science and Higher Education.

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Authors and Affiliations

  1. Institute of Informatics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Linh Anh Nguyen & Andrzej Szałas

  2. Dept. of Computer and Information Science, Linköping University, SE-581 83, Linköping, Sweden

    Andrzej Szałas

Authors
  1. Linh Anh Nguyen
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  2. Andrzej Szałas
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Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Str. Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland

    Ngoc Thanh Nguyen

  2. Centre for Complex Software Systems and Services, Swinburne University of Technology, P.O. Box 218, 3122, Hawthorn, Victoria, Australia

    Ryszard Kowalczyk

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Nguyen, L.A., Szałas, A. (2010). Tableaux with Global Caching for Checking Satisfiability of a Knowledge Base in the Description Logic \(\mathcal{SH}\) . In: Nguyen, N.T., Kowalczyk, R. (eds) Transactions on Computational Collective Intelligence I. Lecture Notes in Computer Science, vol 6220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15034-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-15034-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15033-3

  • Online ISBN: 978-3-642-15034-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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