Take It NP-Easy: Bounded Model Construction for Duration Calculus

  • Authors:
  • Martin Fränzle

  • Affiliations:
  • -

  • Venue:
  • FTRTFT '02 Proceedings of the 7th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems: Co-sponsored by IFIP WG 2.2
  • Year:
  • 2002

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Abstract

Following the recent successes of bounded model-checking, we reconsider the problem of constructing models of discrete-time Duration Calculus formulae. While this problem is known to be nonelementary when arbitrary length models are considered [Han94], it turns out to be only NP-complete when constrained to bounded length.As a corollary we obtain that model construction is in NP for the formulae actually encountered in case studies using Duration Calculus, as these have a certain small-model property.First experiments with a prototype implementation of the procedures demonstrate a competitive performance.