Model-checking one-clock priced timed automata

  • Authors:
  • Patricia Bouyer;Kim G. Larsen;Nicolas Markey

  • Affiliations:
  • LSV, CNRS & ENS de Cachan, France;Aalborg University, Denmark;LSV, CNRS & ENS de Cachan, France

  • Venue:
  • FOSSACS'07 Proceedings of the 10th international conference on Foundations of software science and computational structures
  • Year:
  • 2007

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Abstract

We consider the model of priced (a.k.a. weighted) timed automata, an extension of timed automata with cost information on both locations and transitions. We prove that model-checking this class of models against the logic WCTL, CTL with cost-constrained modalities, is PSPACE-complete under the "single-clock" assumption. In contrast, it has been recently proved that the model-checking problem is undecidable for this model as soon as the system has three clocks. We also prove that the model-checking of WCTL* becomes undecidable, even under this "single-clock" assumption.