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Guard-based partial-order reduction
Authors:Alfons Laarman  Elwin Pater  Jaco van de Pol  Henri Hansen
Affiliation:1.Formal Methods in Systems Engineering,Vienna University of Technology,Vienna,Austria;2.Formal Methods and Tools,University of Twente,Enschede,The Netherlands;3.Department of Mathematics,Tampere University of Technology,Tampere,Finland
Abstract:This paper aims at making partial-order reduction independent of the modeling language. To this end, we present a guard-based method which is a general-purpose implementation of the stubborn set method. We approach the implementation through so-called necessary enabling sets and do-not-accord sets, and give an algorithm suitable for an abstract model checking interface. We also introduce necessary disabling sets and heuristics to produce smaller stubborn sets and thus better reduction at low costs. We explore the effect of these methods using an implementation in the model checker LTSmin. We experiment with partial-order reduction on a number of Promela models, on benchmarks from the BEEM database in the DVE language, and with several with LTL properties. The efficiency of the heuristic algorithm is established by a comparison to the subset-minimal Deletion algorithm and the simple closure algorithm. We also compare our results to the Spin model checker. While the reductions take longer, they are consistently better than Spin ’s ample set and often surpass the upper bound for the process-based ample sets, established empirically earlier on BEEM models.
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