Quantifier elimination by lazy model enumeration

  • Authors:
  • David Monniaux

  • Affiliations:
  • CNRS/VERIMAG

  • Venue:
  • CAV'10 Proceedings of the 22nd international conference on Computer Aided Verification
  • Year:
  • 2010

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Abstract

We propose a quantifier elimination scheme based on nested lazy model enumeration through SMT-solving, and projections This scheme may be applied to any logic that fulfills certain conditions; we illustrate it for linear real arithmetic The quantifier elimination problem for linear real arithmetic is doubly exponential in the worst case, and so is our method We have implemented it and benchmarked it against other methods from the literature.