Modular Abstractions of Reactive Nodes Using Disjunctive Invariants

  • David Monniaux
  • Martin Bodin
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7078)


We wish to abstract nodes in a reactive programming language, such as Lustre, into nodes with a simpler control structure, with a bound on the number of control states. In order to do so, we compute disjunctive invariants in predicate abstraction, with a bounded number of disjuncts, then we abstract the node, each disjunct representing an abstract state. The computation of the disjunctive invariant is performed by a form of quantifier elimination expressed using SMT-solving.

The same method can also be used to obtain disjunctive loop invariants.


Transition Relation Conjunctive Normal Form Propositional Variable Reachable State Disjunctive Normal Form 
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 2011

Authors and Affiliations

  • David Monniaux
    • 1
  • Martin Bodin
    • 1
    • 2
  1. 1.CNRS / VerimagFrance
  2. 2.École normale supérieure de LyonFrance

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