Open Research Index

Native Lean equality-saturation certificate checking

Arthur Freitas Ramos

Palomar Registrypalomar/PALOMAR-2026-09-01-000007Sep 1, 2026cs.LOscore 0

Formalizes a native Lean checker for certified finite acyclic e-graphs. The principal result proves that accepted class certificates connect a canonical e-class term to the executable extracted representative and establish its minimum additive cost among all represented terms. The development also covers chronological merge certificates, egg-style flat explanations, replay-backed extraction, and bounded certificate search.

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  -d '{"value": 1, "emoji": "🤔", "note": "optional"}'
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