Compositional and quantitative model checking (extended abstract)

  • Authors:
  • Kim G. Larsen

  • Affiliations:
  • Dept. of Computer Science, Aalborg University, Denmark

  • Venue:
  • PSI'09 Proceedings of the 7th international Andrei Ershov Memorial conference on Perspectives of Systems Informatics
  • Year:
  • 2009

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Abstract

This paper gives a survey of a composition model checking methodology and its succesfull instantiation to the model checking of networks of finite-state, timed, hybrid and probabilistic systems with respect to suitable quantitative versions of the modal μ-calculus [Koz82]. The method is based on the existence of a quotient construction, allowing a property φ of a parallel system A|B to be transformed into a sufficient and necessary quotient-property φ/ A to be satisfied by the component B. Given a model checking problem involving a network P1|...|Pn and a property φ, the method gradually move (by quotienting) components Pi from the network into the formula φ. Crucial to the success of the method is the ability to manage the size of the intermediate quotient-properties by a suitable collection of efficient minimization heuristics.