Automatic Verification of Real-Time Systems with Discrete Probability Distributions

  • Authors:
  • Marta Z. Kwiatkowska;Gethin Norman;Roberto Segala;Jeremy Sproston

  • Affiliations:
  • -;-;-;-

  • Venue:
  • ARTS '99 Proceedings of the 5th International AMAST Workshop on Formal Methods for Real-Time and Probabilistic Systems
  • Year:
  • 1999

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Abstract

We consider the timed automata model of [3], which allows the analysis of real-time systems expressed in terms of quantitative timing constraints. Traditional approaches to real-time system description express the model purely in terms of nondeterminism; however, we may wish to express the likelihood of the system making certain transitions. In this paper, we present a model for real-time systems augmented with discrete probability distributions. Furthermore, using the algorithm of [5] with fairness, we develop a model checking method for such models against temporal logic properties which can refer both to timing properties and probabilities, such as, "with probability 0.6 or greater, the clock x remains below 5 until clock y exceeds 2".