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Lean proofs of expansion, smoothness, proximity gaps, and generic verifier soundness

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Proximity gaps for expander codes

Lean 4 formalization of distance, smoothness, and proximity gaps for expander codes. Companion to On Proximity Gaps for Expander Codes (ePrint 2026/2806).

Start with the main theorems. Paper statements include the Ligero test, sampling constraints, and an additional hybrid sampling corollary.

With elan installed:

lake exe cache get
lake build LDPC LDPC.Statements.Review

The toolchain and dependencies are pinned in the repository.

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Lean proofs of expansion, smoothness, proximity gaps, and generic verifier soundness

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