Search results for "Pushdown systems"

showing 2 items of 2 documents

Modular Strategies for Recursive Game Graphs

2006

AbstractMany problems in formal verification and program analysis can be formalized as computing winning strategies for two-player games on graphs. In this paper, we focus on solving games in recursive game graphs which can model the control flow in sequential programs with recursive procedure calls. While such games can be viewed as the pushdown games studied in the literature, the natural notion of winning in our framework requires the strategies to be modular with only local memory; that is, resolution of choices within a module does not depend on the context in which the module is invoked, but only on the history within the current invocation of the module. While reachability in (global…

Computer Science::Computer Science and Game TheoryTheoretical computer scienceGeneral Computer ScienceCombinatorial game theoryContext (language use)02 engineering and technology0102 computer and information sciences01 natural sciencesTheoretical Computer ScienceProgram analysisReachability0202 electrical engineering electronic engineering information engineering0101 mathematicsMathematicsbusiness.industry010102 general mathematics020207 software engineeringPushdown systemsResolution (logic)Modular designCall graphUndecidable problemModel-checkingGames in verification010201 computation theory & mathematicsbusinessComputer Science(all)
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Verification of Well-Formed Communicating Recursive State Machines

2008

AbstractIn this paper we introduce a new (non-Turing equivalent) formal model of recursive concurrent programs called well-formed communicating recursive state machines (CRSM). CRSM extend recursive state machines (RSM) by allowing a restricted form of concurrency: a state of a module can be refined into a finite collection of modules (working in parallel) in a potentially recursive manner. Communication is only possible between the activations of modules invoked on the same fork. We study the model-checking problem of CRSM with respect to specifications expressed in a temporal logic that extends CaRet with a parallel operator (ConCaRet). We propose a decision algorithm that runs in time ex…

Model checkingModel checkingTheoretical computer scienceGeneral Computer ScienceComputer scienceInfinite state systemModuloConcurrencyTree automataTheoretical Computer ScienceFormal models of concurrency and recursionTuring machinesymbols.namesakeFormal specificationTemporal logicContext-free specificationsRecursionLinear-time logicsPushdown systemsAbstract interpretationAutomatonTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESInfinite-state systemsrecursive state machinesymbolsState (computer science)Linear time logicAlgorithmComputer Science(all)
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