State identification problems for timed automata

  • Authors:
  • Moez Krichen;Stavros Tripakis

  • Affiliations:
  • Verimag Centre Equation, Gières, France;Verimag Centre Equation, Gières, France

  • Venue:
  • TestCom'05 Proceedings of the 17th IFIP TC6/WG 6.1 international conference on Testing of Communicating Systems
  • Year:
  • 2005

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Abstract

A well-established theory exists for testing finite state machines. One fundamental class of problems handled by this theory is state identification: we are given a machine with known state space and transition relation, but unknown initial state, and we are asked to find tests which identify the initial or final state of the machine. In this paper, we study state identification in the context of timed automata which contrary to, say, Mealy or Moore machines, is a suitable model for real-time systems. We are interested in digital-clock tests which have a finite clock precision and are thus implementable. We develop a general technique, based on time-abstracting bisimulation, which reduces the problem to the case of non-deterministic finite-state Mealy machines. We illustrate our technique on a toy example.