Costs are expensive!

  • Authors:
  • Patricia Bouyer;Nicolas Markey

  • Affiliations:
  • LSV, CNRS & ENS Cachan, France and Oxford University Computing Laboratory, UK;LSV, CNRS & ENS Cachan, France

  • Venue:
  • FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
  • Year:
  • 2007

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Abstract

We study the model-checking problem for WMTL, a cost-extension of the linear-time timed temporal logic MTL, that is interpreted over weighted timed automata. We draw a complete picture of the decidability for that problem: it is decidable only for the class of one-clock weighted timed automata with a restricted stopwatch cost, and any slight extension of this model leads to undecidability. We finally give some consequences on the undecidability of linear hybrid automata.