Time-Bounded Verification

  • Authors:
  • Joël Ouaknine;Alexander Rabinovich;James Worrell

  • Affiliations:
  • Computing Laboratory, Oxford University, UK;School of Computer Science, Tel Aviv University, Israel;Computing Laboratory, Oxford University, UK

  • Venue:
  • CONCUR 2009 Proceedings of the 20th International Conference on Concurrency Theory
  • Year:
  • 2009

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Abstract

We study the decidability and complexity of verification problems for timed automata over time intervals of fixed, bounded length. One of our main results is that time-bounded language inclusion for timed automata is 2EXPSPACE-Complete. We also investigate the satisfiability and model-checking problems for Metric Temporal Logic (MTL), as well as monadic first- and second-order logics over the reals with order and the + 1 function (FO( It is worth recalling that, over unbounded time intervals, the satisfiability and model-checking problems listed above are all well-known to be undecidable.