A Framework for VerifiCation of Software With Time and Probabilities
Quantitative verification techniques are able to establish system properties such as "The probability of an airbag failing to deploy on demand" or "The expected time for a network protocol to successfully send a message packet". In this paper, the authors describe a framework for quantitative verification of software that exhibits both real-time and probabilistic behaviour. The complexity of real software, combined with the need to capture precise timing information, necessitates the use of abstraction techniques. They outline a quantitative abstraction refinement approach, which can be used to automatically construct and analyze abstractions of probabilistic, real-time programs.