TCTL inevitability analysis of dense-time systems

  • Authors:
  • Farn Wang;Geng-Dian Hwang;Fang Yu

  • Affiliations:
  • Dept. of Electrical Engineering, National Taiwan University, Taipei, Taiwan, Republic of China;Institute of Information Science, Academia Sinica Taipei, Taiwan, Republic of China;Institute of Information Science, Academia Sinica Taipei, Taiwan, Republic of China

  • Venue:
  • CIAA'03 Proceedings of the 8th international conference on Implementation and application of automata
  • Year:
  • 2003

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Abstract

Inevitability properties in branching temporal logics are of the syntax ∀◊φ, where φ is an arbitrary (timed) CTL formula. Such inevitability properties in dense-time logics can be analyzed with greatest fixpoint calculation. We present algorithms to model-check inevitability properties both with and without non-Zeno computation requirement. We discuss a technique for early decision on greatest fixpoint calculation. Our algorithms come with a d-parameter for the measurement of timeprogress. We have experimented with various issues, which may affect the performance of TCTL inevitability analysis. Specifically, we report the performance of our implementation w.r.t. various d-parameter values and with or without the non-Zeno computation requirement in the evaluation of greatest fixpoints. We have also experimented with safe abstration techniques for model-checking TCTL inevitability properties. Analysis of experiment data helps clarify how various techniques can be used to improve verification of inevitability properties.