Counting CTL

  • Authors:
  • François Laroussinie;Antoine Meyer;Eudes Petonnet

  • Affiliations:
  • LIAFA, Université Paris Diderot – Paris 7 & CNRS UMR, France;LIGM, Université Paris Est – Marne-la-Valle & CNRS UMR, France;LIAFA, Université Paris Diderot – Paris 7 & CNRS UMR, France

  • Venue:
  • FOSSACS'10 Proceedings of the 13th international conference on Foundations of Software Science and Computational Structures
  • Year:
  • 2010

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Abstract

This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations of Boolean and arithmetic operations allowed in constraints, one obtains several distinct logics generalizing CTL. We provide a thorough analysis of their expressiveness and of the complexity of their model-checking problem (ranging from P-complete to undecidable).