Renaming is Necessary in Timed Regular Expressions

  • Authors:
  • Philippe Herrmann

  • Affiliations:
  • -

  • Venue:
  • Proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 1999

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Abstract

We prove that timed regular expressions without renaming are strictly less expressive than timed automata, as conjectured by Asarin, Caspi and Maler in [3], where this extension of regular expressions was introduced. We also show how this result allows us to exhibit an infinite hierarchy of timed regular expressions.