Consistent Correlations for Parameterised Boolean Equation Systems with Applications in Correctness Proofs for Manipulations

  • Tim A. C. Willemse
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6269)


We introduce the concept of consistent correlations for parameterised Boolean equation systems (PBESs), motivated largely by the laborious proofs of correctness required for most manipulations in this setting. Consistent correlations focus on relating the equations that occur in PBESs, rather than their solutions. For a fragment of PBESs, consistent correlations are shown to coincide with a recently introduced form of bisimulation. Finally, we show that bisimilarity on processes induces consistent correlations on PBESs encoding model checking problems. We apply our theory to two example manipulations from the literature.


Model Check Equation System Dependency Graph Label Transition System Correctness Proof 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Tim A. C. Willemse
    • 1
  1. 1.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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