Minimal Comparison of Octagonal Abstract Domains

Abstract

Numerical abstract domains vary in their expressiveness; more expressive domains like Zones yield more precise invariants than Intervals. A comprehensive approach to selecting abstract domains is a minimal comparison of abstract states. However, to be effective, it requires abstract states to be free of spurious constraints. While previous work developed spurious constraint elimination for Zones, this work introduces a novel algorithm for eliminating such constraints for Octagons. We evaluate our approach by comparing the precision of 6,930 invariants from different abstract domains. Our results show that the minimal comparison reclassifies many invariants as equivalent, thus reducing the impact of Octagons' expressiveness on invariant precision.