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International and Interdisciplinary Conference on Modeling and Using Context

CONTEXT 2013: Modeling and Using Context pp 199–212Cite as

ExpTime Tableaux Algorithm for Contextualized \(\mathcal{ALC}\)

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 8175)

Abstract

Contextualized Knowledge Repository (CKR) is a DL-based framework for representation and reasoning with context dependent knowledge. It addresses the widely recognized need for contextualization of the Semantic Web data sources. Reasoning with CKR is possible thanks to a reduction to standard DL, and more recently a NExpTime tableaux algorithm was introduced for \(\mathcal{ALC}\)-based CKR. In this paper we present an ExpTime tableaux algorithm for \(\mathcal{ALC}\)-based CKR. The algorithm not only formally defines a tableaux decision procedure with optimal complexity, it is also presented in a form that can be effectively applied in practice employing a suitable rule application strategy together with node caching.

Keywords

  • Description Logic
  • Node Label
  • Negation Normal Form
  • Winner Team
  • Tableau Algorithm

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-3-642-40972-1_15
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References

  1. Baader, F., Calvanese, D., McGuinness, D.L., Nardi, D., Patel-Schneider, P.F. (eds.): The Description Logic Handbook. Cambridge University Press (2003)

    Google Scholar 

  2. Bao, J., Tao, J., McGuinness, D.L.: Context representation for the semantic web. In: WebSci 2010 (2010)

    Google Scholar 

  3. Bozzato, L., Homola, M., Serafini, L.: ExpTime reasoning for contextualized \(\mathcal{ALC}\). Tech. Rep. TR-FBK-DKM-2012-1, Fondazione Bruno Kessler, Trento, Italy (2012), http://dkm.fbk.eu/index.php/Resources

  4. Bozzato, L., Homola, M., Serafini, L.: Towards More Effective Tableaux Reasoning for CKR. In: DL 2012. CEUR-WP, vol. 824, pp. 114–124. CEUR-WS.org (2012)

    Google Scholar 

  5. Donini, F.M., Massacci, F.: ExpTime tableaux for \(\mathcal{ALC}\). Artif. Intell. 124(1), 87–138 (2000)

    MathSciNet  CrossRef  MATH  Google Scholar 

  6. Goré, R., Nguyen, L.: EXPTIME tableaux for \(\mathcal{ALC}\) using sound global caching. In: DL 2007. CEUR-WP, vol. 250, pp. 299–306. CEUR-WS.org (2007)

    Google Scholar 

  7. Goré, R., Nguyen, L.A.: EXPTIME Tableaux with Global Caching for Description Logics with Transitive Roles, Inverse Roles and Role Hierarchies. In: Olivetti, N. (ed.) TABLEAUX 2007. LNCS (LNAI), vol. 4548, pp. 133–148. Springer, Heidelberg (2007)

    CrossRef  Google Scholar 

  8. Homola, M., Bozzato, L., Serafini, L.: Tableaux algorithm for reasoning with contextualized knowledge. Tech. Rep. TR-FBK-DKM-2011-1, Fondazione Bruno Kessler, Trento, Italy (2012), http://dkm.fbk.eu/index.php/Resources

  9. Klarman, S., Gutiérrez-Basulto, V.: Two-dimensional description logics for context-based semantic interoperability. In: AAAI 2011. AAAI Press (2011)

    Google Scholar 

  10. Schmidt-Schauß, M., Smolka, G.: Attributive concept descriptions with complements. Artificial Intelligence 48(1), 1–26 (1991)

    MathSciNet  CrossRef  MATH  Google Scholar 

  11. Serafini, L., Homola, M.: Contextualized knowledge repositories for the semantic web. J. of Web Sem., Special Issue: Reasoning with Context in the Semantic Web 12 (2012)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Fondazione Bruno Kessler, Via Sommarive 18, 38123, Trento, Italy

    Loris Bozzato & Luciano Serafini

  2. FMFI, Comenius University, Mlynská dolina, 84248, Bratislava, Slovakia

    Martin Homola

Authors
  1. Loris Bozzato
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  2. Martin Homola
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  3. Luciano Serafini
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Editor information

Editors and Affiliations

  1. University Pierre and Marie Curie (UPMC), Place Jussieu 4, 75005, Paris, France

    Patrick Brézillon

  2. University of Roskilde, 4000, Roskilde, Denmark

    Patrick Blackburn

  3. LISTIC - Polytech’Savoie, University of Savoie, P.O. Box 80439, 74944, Annecy-le-Vieux Cedex, France

    Richard Dapoigny

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© 2013 Springer-Verlag Berlin Heidelberg

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Bozzato, L., Homola, M., Serafini, L. (2013). ExpTime Tableaux Algorithm for Contextualized \(\mathcal{ALC}\) . In: Brézillon, P., Blackburn, P., Dapoigny, R. (eds) Modeling and Using Context. CONTEXT 2013. Lecture Notes in Computer Science(), vol 8175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40972-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-40972-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40971-4

  • Online ISBN: 978-3-642-40972-1

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