Apoth3osis
<_RESEARCH/PROJECTS

Post-Quantum Ethereum Crypto

VERIFIED0 SORRY5 MENTAT CERTSLean 4 + Mathlib
>_VERIFICATION.SEAL
FORMALLY VERIFIED • LEAN 4 • MACHINE-CHECKED • APOTH3OSIS∀∃⊢→∧∨¬≡QED0 SORRY

Formal Verification Certificate

All theorems formally verified in Lean 4 with zero sorry gaps.

0 SORRY

Lean Ethereum PQ Crypto • Lean 4 + Mathlib • Apoth3osis Labs

❓

The Central Question

Can Ethereum survive the quantum transition with formally verified cryptographic primitives? This project formalizes the post-quantum migration path: replacing ECDSA with XMSS hash-based signatures, replacing KZG polynomial commitments with Sumcheck polynomial IOPs under the Fiat-Shamir transform, and constructing PQ HTLCs for quantum-safe atomic swaps. Based on Drake and Khovratovich’s Ethereum Foundation research.

Original Researchers

Justin Drake
Ethereum Foundation
Post-quantum Ethereum roadmap, signature migration strategy.
Dmytro Khovratovich
Ethereum Foundation
Polynomial IOP constructions and hash-based commitment schemes.

Key Verified Results

xmss_verify_sound

XMSS signature verification is sound

XMSS.lean

sumcheck_soundness

Sumcheck protocol has negligible soundness error

Sumcheck.lean

fiat_shamir_secure

Fiat-Shamir transform preserves soundness in ROM

FiatShamir.lean

pq_htlc_correct

PQ HTLC satisfies correctness and atomicity

PQHTLC.lean

Resources

GHGitHub RepositoryIDXAll Research Projects
← All Research ProjectsGitHub →