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Deciding global partial-order properties

  • Rajeev Alur
  • Ken McMillan
  • Doron Peled
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1443)

Abstract

Model checking of asynchronous systems is traditionally based on the interleaving model, where an execution is modeled by a total order between events. Recently, the use of partial order semantics that allows independent events of concurrent processes to be unordered is becoming popular. Temporal logics that are interpreted over partial orders allow specifications relating global snapshots, and permit reduction algorithms to generate only one representative linearization of every possible partial-order execution during state-space search. This paper considers the satisfiability and the model checking problems for temporal logics interpreted over partially ordered sets of global configurations. For such logics, only undecidability results have been proved previously. In this paper, we present an Expspace decision procedure for a fragment that contains an eventuality operator and its dual. We also sharpen previous undecidability results, which used global predicates over configurations. We show that although our logic allows only local propositions (over events), it becomes undecidable when adding some natural until operator.

Keywords

Partial Order Model Check Temporal Logic Causal Structure Atomic Proposition 
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 1998

Authors and Affiliations

  • Rajeev Alur
    • 1
  • Ken McMillan
    • 2
  • Doron Peled
    • 3
  1. 1.University of Pennsylvania and Bell LaboratoriesUSA
  2. 2.Cadence Berkeley LabsUSA
  3. 3.Bell Laboratories and CMUUSA

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