Faster SPDL Model Checking Through Property-Driven State Space Generation

G.W.M. Kuntz, Boudewijn R.H.M. Haverkort, K. Wolter (Editor)

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review


In this paper we describe how both, memory and time requirements for stochastic model checking of SPDL (stochastic propositional dynamic logic) formulae can significantly be reduced. SPDL is the stochastic extension of the multi-modal program logic PDL. SPDL provides means to specify path-based properties with or without timing restrictions. Paths can be characterised by so-called programs, essentially regular expressions, where the executability can be made dependent on the validity of test formulae. For model-checking SPDL path formulae it is necessary to build a product transition system (PTS) between the system model and the program automaton belonging to the path formula that is to be verified. In many cases, this PTS can be drastically reduced during the model checking procedure, as the program restricts the number of potentially satisfying paths. Therefore, we propose an approach that directly generates the reduced PTS from a given SPA specification and an SPDL path formula. The feasibility of this approach is shown through a selection of case studies, which show enormous state space reductions, at no increase in generation time.
Original languageEnglish
Title of host publicationFormal Methods and Stochastic Models for Performance Evaluation
Subtitle of host publicationFourth European Performance Engineering Workshop, EPEW 2007
EditorsKatinka Wolter
Place of PublicationBerlin
PublisherSpringer Verlag
Number of pages17
ISBN (Print)9783540752103
Publication statusPublished - 14 Sept 2007
Externally publishedYes
EventEuropean Performance Engineering Workshop 2007 - Berlin, Germany
Duration: 27 Sept 200728 Sept 2007
Conference number: 4

Publication series

NameLecture Notes in Computer Science


ConferenceEuropean Performance Engineering Workshop 2007
Abbreviated titleEPEW 2007


  • EWI-10974
  • METIS-241870
  • IR-61897


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