Automatic verification of multi-queue discrete timed automata

  • Authors:
  • Pierluigi San Pietro;Zhe Dang

  • Affiliations:
  • Dipartimento di Elettronica e Informazione, Politecnico di Milano, Italia;School of Electrical Engineering and Computer Science, Washington State University, Pullman,WA

  • Venue:
  • COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
  • Year:
  • 2003

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Abstract

We propose a new infinite-state model, called the Multi-queue Discrete Timed Automaton MQDTA, which extends Timed Automata with queues, but only has integer-valued clocks. Due to careful restrictions on queue usage, the binary reachability (the set of all pairs of configurations (α, β) of an MQDTA such that α can reach β through zero or more transitions) is effectively semilinear. We then prove the decidability of a class of Presburger formulae defined over the binary reachability, allowing the automatic verification of many interesting properties of a MQDTA. The MQDTA model can be used to specify and verify various systems with unbounded queues, such as a real-time scheduler.