Abstract Domains of Affine Relations

• Published in: ACM transactions on programming languages and systems Vol. 36; no. 4; pp. 1 - 73
• Main Authors: Elder, Matt, Lim, Junghee, Sharma, Tushar, Andersen, Tycho, Reps, Thomas
• Format: Journal Article
• Language: English
• Published: New York, NY, USA ACM 28.10.2014
• Subjects: Algorithms; Analyzers; Assertion checking; Assertions; Blasting; Blocking; Cross-computing tools and techniques; Empirical software validation; Formal methods; Formal software verification; Functional verification; General and reference; Hardware; Hardware validation; Invariants; Mathematical analysis; Process validation; Program reasoning; Program verification; Rings (mathematics); Semantics; Semantics and reasoning; Software and its engineering; Software creation and management; Software functional properties; Software organization and properties; Software verification and validation; Theory of computation; Transformers; Validation; Howell form; symbolic abstraction; modular arithmetic; abstract interpretation; static analysis; affine relation; Abstract domain

This article considers some known abstract domains for affine-relation analysis (ARA), along with several variants, and studies how they relate to each other. The various domains represent sets of points that satisfy affine relations over variables that hold machine integers and are based on an exte...