Reachability of communicating timed processes

  • Authors:
  • Lorenzo Clemente;Frédéric Herbreteau;Amelie Stainer;Grégoire Sutre

  • Affiliations:
  • CNRS, LaBRI, UMR 5800, Univ. Bordeaux, Talence, France;CNRS, LaBRI, UMR 5800, Univ. Bordeaux, Talence, France;University of Rennes 1, Rennes, France;CNRS, LaBRI, UMR 5800, Univ. Bordeaux, Talence, France

  • Venue:
  • FOSSACS'13 Proceedings of the 16th international conference on Foundations of Software Science and Computation Structures
  • Year:
  • 2013

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Abstract

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its set of local clocks; all clocks evolve at the same rate. Our main contribution is a complete characterization of decidable and undecidable communication topologies, for both discrete and dense time. We also obtain complexity results, by showing that communicating timed processes are at least as hard as Petri nets; in the discrete time, we also show equivalence with Petri nets. Our results follow from mutual topology-preserving reductions between timed automata and (untimed) counter automata. To account for urgency of receptions, we also investigate the case where processes can test emptiness of channels.