The Octagon Abstract Domain

Details The Octagon Abstract Domain The Octagon Abstract Domain

2007-03-15

arxiv.org/abs/cs/0703084v2

Analysis, Slicing and Transformation (AST) (10/2001) 310-319

Computer Science

Programming Languages

(update: reversed author first and last names)

Scientific paper

This article presents a new numerical abstract domain for static analysis by abstract interpretation. It extends a former numerical abstract domain based on Difference-Bound Matrices and allows us to represent invariants of the form (+/-x+/-y<=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(n2) memory cost, where n is the number of variables - and graph-based algorithms for all common abstract operators - O(n3) time cost. This includes a normal form algorithm to test equivalence of representation and a widening operator to compute least fixpoint approximations.

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