Optimal Tableaux-Based Decision Procedure for Testing Satisfiability in the Alternating-Time Temporal Logic ATL+

  • Serenella Cerrito
  • Amélie David
  • Valentin Goranko
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8562)

Abstract

We develop a sound, complete and practically implementable tableaux-based decision method for constructive satisfiability testing and model synthesis in the fragment ATL+ of the full Alternating time temporal logic ATL*. The method extends in an essential way a previously developed tableaux-based decision method for ATL and works in 2EXPTIME, which is the optimal worst case complexity of the satisfiability problem for ATL+. We also discuss how suitable parameterizations and syntactic restrictions on the class of input ATLP formulae can reduce the complexity of the satisfiability problem.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Serenella Cerrito
    • 1
  • Amélie David
    • 1
  • Valentin Goranko
    • 2
    • 3
  1. 1.Laboratoire IBISCUniversité Evry Val-d’EssonneFrance
  2. 2.Department of Applied Mathematics and Computer ScienceTechnical University of DenmarkDenmark
  3. 3.University of JohannesburgSouth Africa

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