2013 20th Working Conference on Reverse Engineering (WCRE) (2001)
Oct. 2, 2001 to Oct. 5, 2001
Antoine Miné , ?cole Normale Sup?rieure de Paris, France
This article presents a new numerical abstract domain for static analysis by abstract interpretation. It extends our previously proposed DBM-based numerical abstract domain and allows us to represent invariants of the form (\pm x \pm y lleq c), where x and y are program variables and c is a real constant.We focus on giving an efficient representation based on Difference-Bound Matrices - O(n^2) memory cost, where n is the number of variables - and graph-based algorithms for all common abstract operators - O(n^3) time cost. This includes a normal form algorithm to test equivalence of representation and a widening operator to compute least fixpoint approximations.
abstract interpretation, abstract domains, linear invariants, safety analysis, static analysis tools
Antoine Miné, "The Octagon Abstract Domain", 2013 20th Working Conference on Reverse Engineering (WCRE), vol. 00, no. , pp. 310, 2001, doi:10.1109/WCRE.2001.957836