A Quantifier Elimination Algorithm for Linear Real Arithmetic

David Monniaux (1)

1 VERIMAG - IMAG - VERIMAG

We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This algorithm uses as subroutine satisfiability modulo this theory, a problem for which there are several implementations available. The quantifier elimination algorithm presented in the paper is compared, on examples arising from program analysis problems, to several other implementations, all of which cannot solve some of the examples that our algorithm solves easily.

Domaines: Logique en informatique [cs.LO]

David Monniaux. A Quantifier Elimination Algorithm for Linear Real Arithmetic. LPAR ( Logic for Programming, Artificial Intelligence, and Reasoning), Nov 2008, Doha, Qatar. pp.243-257, ⟨10.1007/978-3-540-89439-1_18⟩. ⟨hal-00262312v2⟩