Abstract Fixpoint Computations with Numerical Acceleration Methods
Programming Languages
2013-05-02 v1 Numerical Analysis
Abstract
Static analysis by abstract interpretation aims at automatically proving properties of computer programs. To do this, an over-approximation of program semantics, defined as the least fixpoint of a system of semantic equations, must be computed. To enforce the convergence of this computation, widening operator is used but it may lead to coarse results. We propose a new method to accelerate the computation of this fixpoint by using standard techniques of numerical analysis. Our goal is to automatically and dynamically adapt the widening operator in order to maintain precision.
Cite
@article{arxiv.1006.3159,
title = {Abstract Fixpoint Computations with Numerical Acceleration Methods},
author = {Olivier Bouissou and Yassamine Seladji and Alexandre Chapoutot},
journal= {arXiv preprint arXiv:1006.3159},
year = {2013}
}