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A Tableau Calculus for Regular Grammar Logics with Converse

  • Linh Anh Nguyen
  • Andrzej Szałas
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5663)

Abstract

We give a sound and complete tableau calculus for deciding the general satisfiability problem of regular grammar logics with converse (REG c logics). Tableaux of our calculus are defined as “and-or” graphs with global caching. Our calculus extends the tableau calculus for regular grammar logics given by Goré and Nguyen [11] by using a cut rule and existential automaton-modal operators to deal with converse. We use it to develop an ExpTime (optimal) tableau decision procedure for the general satisfiability problem of REG c logics. We also briefly discuss optimizations for the procedure.

Keywords

Description Logic Kripke Model Propositional Dynamic Logic Negation Normal Form Transitional Rule 
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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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.Department of Computer and Information ScienceLinköping UniversityLinköpingSweden

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