Wed 17 Jun 2026 17:10 - 17:30 at Flatirons 2 - Abstract Interpretation Chair(s): Mukund Raghothaman

Equality saturation is a program optimization technique based on non-destructive rewriting and a form of abstract interpretation called e-class analysis. Existing e-class analyses are pessimistic and therefore typically imprecise when analyzing cyclic programs, such as those in SSA form. We show that a straightforward optimistic variant of e-class analysis can result in unsoundness, due to a subtlety in how e-graphs represent programs. We propose an abstract interpretation algorithm that circumvents this issue and can optimistically analyze e-graphs during equality saturation. This results in a unified algorithm for optimistic analysis and non-destructive rewriting. We implement a prototype abstract interpreter and equality saturation tool for SSA programs. Our tool exhibits precision improvements over pure abstract interpretation (without rewriting) and pessimistic e-class analysis on example programs. Additionally, its performance is comparable to existing abstract interpretation and e-class analysis techniques.

Wed 17 Jun

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16:10 - 17:50
Abstract InterpretationPLDI Research Papers at Flatirons 2
Chair(s): Mukund Raghothaman University of Southern California
16:10
20m
Talk
SAIL: Sound Abstract Interpreters with LLMs
PLDI Research Papers
Qiuhan Gu University of Illinois Urbana-Champaign, Avaljot Singh University of Illinois Urbana-Champaign, Gagandeep Singh University of Illinois Urbana-Champaign
DOI
16:30
20m
Talk
Evolving Abstract Transformers for Gradient-Guided, Adaptable Abstract Interpretation
PLDI Research Papers
Shaurya Gomber University of Illinois Urbana-Champaign, Debangshu Banerjee University of Illinois Urbana-Champaign, Gagandeep Singh University of Illinois Urbana-Champaign
DOI Pre-print
16:50
20m
Talk
Abstract Interpretation with Confidence
PLDI Research Papers
Yuanfeng Shi Peking University, Ziyue Jin Peking University, Xin Zhang Peking University
DOI
17:10
20m
Talk
Optimism in Equality Saturation
PLDI Research Papers
Russel Arbore University of California at Berkeley, Alvin Cheung University of California at Berkeley, Max Willsey University of California at Berkeley
DOI Pre-print