On the expressiveness of MTL with past operators

  • Authors:
  • Pavithra Prabhakar;Deepak D’Souza

  • Affiliations:
  • Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India;Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India

  • Venue:
  • FORMATS'06 Proceedings of the 4th international conference on Formal Modeling and Analysis of Timed Systems
  • Year:
  • 2006

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Abstract

We compare the expressiveness of variants of Metric Temporal Logic (MTL) obtained by adding the past operators ‘S’ and ‘SI’. We consider these variants under the “pointwise” and “continuous” interpretations over both finite and infinite models. Among other results, we show that for each of these variants the continuous version is strictly more expressive than the pointwise version. We also prove a counter-freeness result for MTL which helps to carry over some results from [3] for the case of infinite models to the case of finite models.