Towards Parametric Verification of Prioritized Time Petri Nets

  • Authors:
  • Anna Dedova;Irina Virbitskaite

  • Affiliations:
  • Novosibirsk State University, Novosibirsk, Russia 630090;Novosibirsk State University, Novosibirsk, Russia 630090 and A.P. Ershov Institute of Informatics Systems, Siberian Division of the Russian Academy of Sciences, Novosibirsk, Russia 630090

  • Venue:
  • PaCT '09 Proceedings of the 10th International Conference on Parallel Computing Technologies
  • Year:
  • 2009

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Abstract

The intention of the paper is to develop an algorithm for parametric timing behaviour verification of real-time and concurrent systems represented by prioritized time Petri nets (PrTPNs). To achieve the purpose, we introduce a notion of the parametric PrTPN which is a modification of the PrTPN by using parameter variables in specification of timing constraints on transition firings. System properties are given as formulae of a parametric extension of the real-time branching time temporal logic TCTL, PTCTL. The verification algorithm consists in constructing conditions on timing parameter variables under which the PrTPN with bounded parameters works w.r.t. the checked PTCTL-formula. It is also shown the correctness and evaluated the complexity of the algorithm proposed.