Weighted LTL with discounting

  • Authors:
  • Eleni Mandrali

  • Affiliations:
  • Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece

  • Venue:
  • CIAA'12 Proceedings of the 17th international conference on Implementation and Application of Automata
  • Year:
  • 2012

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Abstract

We introduce a weighted linear temporal logic over infinite words with weights and discounting parameters over ℝmax. We translate the formulas of a syntactically defined fragment of our logic to weighted Büchi automata with discounting. We prove that every ω-recognizable series with discounting is the image of a series definable by a formula of this syntactic fragment through a strict alphabetic epimorphism.