City Research Online

Abstract

Program verification using abstract interpretation involves the symbolic calculation of fixpoints over lattices. Integral to these fixpoint calculations is widening, an operation that trades precision for guarantees of termination. Abstract interpretation often works with lattices of convex sets of points in n-dimensional space, represented by sets of linear inequalities. When the form of these inequalities is restricted these are known as weakly relational domains. This paper addresses weakly relational domains, the detail of their representation and the way in which widening is applied, including study of how the closure operators used in weakly relational domains interact with widening, and considers how sequences of constraints might be widened. Satisfiability checking for numeric constraints is one tool used in this work.

Publication Type:	Article
Additional Information:	This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Publisher Keywords:	Abstract interpretation, widening, weakly relational domains
Subjects:	Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Departments:	School of Science & Technology School of Science & Technology > Department of Computer Science
SWORD Depositor:	Symplectic Administrator

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