Quantifier elimination by lazy model enumeration

David Monniaux (1)

1 VERIMAG - IMAG - VERIMAG

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.

Mots clés: quantifier elimination; SMT-solving; linear arithmetic

Domaines: Logique en informatique [cs.LO]

David Monniaux. Quantifier elimination by lazy model enumeration. CAV 2010, Jul 2010, Edimburgh, United Kingdom. pp.585-599. ⟨hal-00472831v2⟩