CONCUR 2009 - Concurrency Theory

Volume 5710 of the series Lecture Notes in Computer Science pp 354-368

Model-Checking Games for Fixpoint Logics with Partial Order Models

  • Julian GutierrezAffiliated withLFCS. School of Informatics, University of Edinburgh, Informatics Forum
  • , Julian BradfieldAffiliated withLFCS. School of Informatics, University of Edinburgh, Informatics Forum

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We introduce model-checking games that allow local second-order power on sets of independent transitions in the underlying partial order models where the games are played. Since the one-step interleaving semantics of such models is not considered, some problems that may arise when using interleaving semantics are avoided and new decidability results for partial orders are achieved. The games are shown to be sound and complete, and therefore determined. While in the interleaving case they coincide with the local model-checking games for the μ-calculus (), in a noninterleaving setting they verify properties of Separation Fixpoint Logic (SFL), a logic that can specify in partial orders properties not expressible with . The games underpin a novel decision procedure for model-checking all temporal properties of a class of infinite and regular event structures, thus improving previous results in the literature.


Modal and temporal logics Model-checking games Hintikka game semantics Partial order models of concurrency Process algebras