Uniform Satisfiability in PSPACE for Local Temporal Logics Over Mazurkiewicz Traces

  • Authors:
  • Paul Gastin;Dietrich Kuske

  • Affiliations:
  • LSV, ENS Cachan & CNRS, France. E-mail: Paul.Gastin@lsv.ens-cachan.fr;Institut für Informatik, Universität Leipzig, Germany. E-mail: kuske@informatik.uni-leipzig.de

  • Venue:
  • Fundamenta Informaticae - Half a Century of Inspirational Research: Honoring the Scientific Influence of Antoni Mazurkiewicz
  • Year:
  • 2007

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Abstract

We study the complexity of temporal logics over concurrent systems that can be described by Mazurkiewicz traces. We develop a general method to prove that the uniform satisfiability problem of local temporal logics is in PSPACE. We also demonstrate that this method applies to all known local temporal logics.