ExpTime Tableaux Algorithm for Contextualized \(\mathcal{ALC}\)
- 961 Downloads
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 AlgorithmPreview
Unable to display preview. Download preview PDF.
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)MathSciNetCrossRefzbMATHGoogle 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)CrossRefGoogle 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)MathSciNetCrossRefzbMATHGoogle 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