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Evan Patterson

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Preprint Nov 2026

How to prove equations using diagrams: A categorical and operational semantics for e-graphs

E-graphs are a powerful algorithmic technique for automated equational reasoning but have resisted a conceptual understanding independent of issues of presentation and implementation. We propose an operational semantics for e-graphs based on the fundamental category-theoretic concepts of diagrams, limits, and initial f...

Evan Patterson · 0 citations

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