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1 LIFL - Laboratoire d-Informatique Fondamentale de Lille 2 LIFL - DART-Émeraude 3 VERIMAG - IMAG - VERIMAG

Abstract : {Linear Relation Analysis~\cite{cousot78,halbwach79} is now a classical abstract interpretation based on an approximation of reachable numerical states of a program by convex polyhedra. Since it works with a lattice of infinite depth, it makes use of a widening operator to enforce the convergence of fixpoint computations. This paper takes place in the many attempts to improve the precision of the results reached using such a widening. It will first present an extended survey of the existing approaches in that direction. Then it will investigate the cases where the exact abstract effect of a loop can be computed. This technique is fully compatible with the use of widening, and whenever it applies, it generally improves both the precision and the performances of the analysis.

Keywords : static analysis abstract interpretation acceleration polyhedron





Author: Laure Gonnord - Nicolas Halbwachs -

Source: https://hal.archives-ouvertes.fr/



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