On the Complexity of Verifying Regular Properties on Flat Counter Systems,

  • Stéphane Demri
  • Amit Kumar Dhar
  • Arnaud Sangnier
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7966)


Among the approximation methods for the verification of counter systems, one of them consists in model-checking their flat unfoldings. Unfortunately, the complexity characterization of model-checking problems for such operational models is not always well studied except for reachability queries or for Past LTL. In this paper, we characterize the complexity of model-checking problems on flat counter systems for the specification languages including first-order logic, linear mu-calculus, infinite automata, and related formalisms. Our results span different complexity classes (mainly from PTime to PSpace) and they apply to languages in which arithmetical constraints on counter values are systematically allowed. As far as the proof techniques are concerned, we provide a uniform approach that focuses on the main issues.


Atomic Formula Counter System Propositional Variable Atomic Proposition Kripke Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Stéphane Demri
    • 2
    • 3
  • Amit Kumar Dhar
    • 1
  • Arnaud Sangnier
    • 1
  1. 1.LIAFAUniv Paris Diderot, Sorbonne Paris Cité, CNRSFrance
  2. 2.New York UniversityUSA
  3. 3.CNRSLSVFrance

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