Guided Equality Saturation

Explore a 21-minute video presentation from POPL 2024 introducing Guided Equality Saturation, a semi-automatic rewriting technique that combines human insight with automated equality saturation. Learn how this approach scales rewriting by allowing human guidance at key decision points, enabling complex term transformations in theorem proving and program optimization. Discover how the method splits rewriting into simpler automatic steps using human-provided guides or sketches. Examine two case studies demonstrating the technique's effectiveness: integrating it into the Lean 4 proof assistant for faster, more complex proofs, and applying it to the Rise array language compiler for efficient optimizations. Gain insights into how Guided Equality Saturation addresses scalability challenges in automated rewriting, potentially revolutionizing both theorem proving and compiler optimization processes.