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Journal of Automated Reasoning

, Volume 50, Issue 4, pp 355–381 | Cite as

ExpTime Tableaux for Open image in new window Using Sound Global Caching

  • Rajeev GoréEmail author
  • Linh Anh Nguyen
Article

Abstract

We present a simple ExpTime (complexity-optimal) tableau decision procedure based on and-or graphs with sound global caching for checking satisfiability of a concept w.r.t. a TBox in \(\mathcal{ALC}\). Our algorithm is easy to implement and provides a foundation for ExpTime (complexity-optimal) tableau-based decision procedures for many modal and description logics, to which various optimisation techniques can be applied.

Keywords

Description logic Modal logic Tableau-based decision procedures Global caching complexity-optimal tableaux 

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Logic and Computation Group, Research School of Information Sciences and Engineering, College of Engineering and Computer ScienceThe Australian National UniversityCanberraAustralia
  2. 2.Institute of InformaticsUniversity of WarsawWarsawPoland

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