Monitor-Based statistical model checking for weighted metric temporal logic

  • Authors:
  • Peter Bulychev;Alexandre David;Kim Guldstrand Larsen;Axel Legay;Guangyuan Li;Danny Bøgsted Poulsen;Amelie Stainer

  • Affiliations:
  • Computer Science, Aalborg University, Denmark;Computer Science, Aalborg University, Denmark;Computer Science, Aalborg University, Denmark;INRIA/IRISA, Rennes Cedex, France;State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, P.R. of China;Computer Science, Aalborg University, Denmark;University of Rennes 1, Rennes, France

  • Venue:
  • LPAR'12 Proceedings of the 18th international conference on Logic for Programming, Artificial Intelligence, and Reasoning
  • Year:
  • 2012

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Abstract

We present a novel approach and implementation for analysing weighted timed automata (WTA) with respect to the weighted metric temporal logic (WMTL≤). Based on a stochastic semantics of WTAs, we apply statistical model checking (SMC) to estimate and test probabilities of satisfaction with desired levels of confidence. Our approach consists in generation of deterministic monitors for formulas in WMTL≤, allowing for efficient SMC by run-time evaluation of a given formula. By necessity, the deterministic observers are in general approximate (over- or under-approximations), but are most often exact and experimentally tight. The technique is implemented in the new tool Casaal. that we seamlessly connect to Uppaal-smc. in a tool chain. We demonstrate the applicability of our technique and the efficiency of our implementation through a number of case-studies.