ExpTime Tableaux for Checking Satisfiability of a Knowledge Base in the Description Logic \(\mathcal{ALC}\)

  • Linh Anh Nguyen
  • Andrzej Szałas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5796)


We give the first ExpTime (optimal) tableau decision procedure for checking satisfiability of a knowledge base in the description logic \(\mathcal{ALC}\), not based on transformation that encodes ABoxes by nominals or terminology axioms. Our procedure can be implemented as an extension of the highly optimized tableau prover TGC [12] to obtain an efficient program for the mentioned satisfiability problem.


Decision Procedure Description Logic Atomic Concept Propositional Dynamic Logic Simple Node 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Linh Anh Nguyen
    • 1
  • Andrzej Szałas
    • 1
    • 2
  1. 1.Institute of InformaticsUniversity of WarsawWarsawPoland
  2. 2.Dept. of Computer and Information ScienceLinköping UniversityLinköpingSweden

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