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Precise Widening Operators for Convex Polyhedra by Roberto Bagnara; Patricia M. Hill; Elisa Ricci; Enea Zaffanella is a Computer Science article available to read on EtoBox.

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In the context of static analysis via abstract interpretation, convex polyhedra constitute the most used abstract domain among those capturing numerical relational information. Since the domain of convex polyhedra admits infinite ascending chains, it has to be used in conjunction with appropriate mechanisms for enforcing and accelerating the convergence of fixpoint computations. Widening operators provide a simple and general characterization for such mechanisms. For the domain of convex polyhedra, the original widening operator proposed by Cousot and Halbwachs amply deserves the name of standard widening since most analysis and verification tools that employ convex polyhedra also employ that operator. Nonetheless, there is an unfulfilled demand for more precise widening operators. In this paper, after a formal introduction to the standard widening where we clarify some aspects that are often overlooked, we embark on the challenging task of improving on it. We present a framework for the systematic definition of new widening operators that are never less precise than a given widening. The framework is then instantiated on the domain of convex polyhedra so as to obtain a new widenin

Who reads Precise Widening Operators for Convex Polyhedra?

Author

Roberto Bagnara; Patricia M. Hill; Elisa Ricci; Enea Zaffanella

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0167-6423)

Published

2005

Language

EN

Field

Computer Science (Physical Sciences)