Abstract Domains of Affine Relations

Abstract

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 extension of linear algebra to modules over a ring (in particular, arithmetic performed modulo 2 w , for some machine-integer width w ).

Document Details

Document Type
Pub Defense Publication
Publication Date
Oct 28, 2014
Source ID
10.1145/2651361

Entities

People

  • Junghee Lim
  • Matt Elder
  • Thomas Reps
  • Tushar Sharma
  • Tycho Andersen

Organizations

  • Air Force Research Laboratory
  • Defense Advanced Research Projects Agency
  • Division of Computing and Communication Foundations
  • Office of Naval Research
  • United States Army Research Laboratory
  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Artificial Intelligence
  • Computer Programming and Software Development.
  • Operations Research