On the expressiveness of TPTL and MTL

  • Authors:
  • Patricia Bouyer;Fabrice Chevalier;Nicolas Markey

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

  • Venue:
  • FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2005

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Abstract

TPTL and MTL are two classical timed extensions of LTL. In this paper, we positively answer a 15-year-old conjecture that TPTL is strictly more expressive than MTL. But we show that, surprisingly, the TPTL formula proposed in [4] for witnessing this conjecture can be expressed in MTL. More generally, we show that TPTL formulae using only the F modality can be translated into MTL.