Liveness Analysis for Parameterised Boolean Equation Systems

  • Jeroen J. A. Keiren
  • Wieger Wesselink
  • Tim A. C. Willemse
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8837)


We present a sound static analysis technique for fighting the combinatorial explosion of parameterised Boolean equation systems (PBESs). These essentially are systems of mutually recursive fixed point equations ranging over first-order logic formulae. Our method detects parameters that are not live by analysing a control flow graph of a PBES, and it subsequently eliminates such parameters. We show that a naive approach to constructing a control flow graph, needed for the analysis, may suffer from an exponential blow-up, and we define an approximate analysis that avoids this problem. The effectiveness of our techniques is evaluated using a number of case studies.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Jeroen J. A. Keiren
    • 1
  • Wieger Wesselink
    • 2
  • Tim A. C. Willemse
    • 2
  1. 1.VU University AmsterdamThe Netherlands
  2. 2.Eindhoven University of TechnologyThe Netherlands

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