mrwulf
49859bf82f
The apex brick of the scalar layer: for any 64 bytes (the opaque SHA-512 digest), [from_bytes_wide bytes] = (LE 512-bit value) mod l, with canonical 52-bit-bounded output. Composition: bytes_unpack_spec (8x8 loops) -> split_words_lo/hi_spec (exact div/mod per limb, disjoint ORs as additions) -> wide_split_telescope (isolated omega) -> montgomery_mul by R and RR (R cancels as a unit, RR restores it) -> the canonical add. The two kernel-capacity walls found and crossed en route (control repo FAILURES.md updated): - a montgomery_mul inside any walk motive replays its 400-line body at every kernel step (fix: named prefix functions in the pinned source); - straight-line IndexMut closure chains make kernel defeq exponential in depth (fix: struct-literal construction - the split halves now build Scalar52([...]) directly). Full certificate: 77 s kernel-inclusive. Regenerated gen (sources factor from_bytes_wide -> from_bytes_wide_parts -> split_words_lo/hi; documented pure refactors, cargo-checked). check-scalar.sh: 13 proof files, 13 kernel audits, all exactly [propext, Classical.choice, Quot.sound]. Button pressed fresh: green. |
||
|---|---|---|
| verification | ||
| .gitignore | ||
| README.md | ||
| TRUSTED-BASE.md | ||
anza-ed25519-verified
Formal verification of the ed25519 implementation in anza-xyz/cryptography (Solana, solana-ed25519 crate), built as a coherent proof pyramid in Lean 4 via the Charon/Aeneas transpilation pipeline:
┌──────────────────────────────┐
│ Signature (EdDSA verify) │ accepted ⇒ [8][S]B = [8]R + [8][k]A
├──────────────────────────────┤
│ Scalar arithmetic mod ℓ │ Scalar52 ops correct mod ℓ
├──────────────────────────────┤
│ Group law (twisted Edwards) │ point ops = complete addition law
├──────────────────────────────┤
│ Field 𝔽_p, p = 2²⁵⁵ − 19 │ FieldElement51 ops correct mod p
└──────────────────────────────┘
Every layer states its theorems about the actual Aeneas-transpiled Rust
code (never about a hand-written re-model), and every claim in the status
table below is backed by a compiled proof plus an axiom audit of the named
certificate. Files that do not compile under verification/check.sh are not
in this repository.
Layer status
| Layer | Certificate | Status | Axioms of certificate |
|---|---|---|---|
| Field 𝔽_p | fieldImplementation |
✅ proven | [propext, Classical.choice, Quot.sound] |
| Group law (Edwards) | edwardsImplementation |
✅ proven | [propext, Classical.choice, Quot.sound] |
| Scalar mod ℓ | scalarImplementation (add ✅ sub ✅ mul ✅) |
✅ proven | [propext, Classical.choice, Quot.sound] |
| Signature (EdDSA) | verifyEquation (planned) |
⏳ planned | — |
Status legend: ✅ proven & axiom-audited · ⏳ in progress · ❌ not started.
This table is updated only when verification/check.sh passes for the layer.
Source
- Upstream: anza-xyz/cryptography, commit
0a54cca - Pinned/patched source: saymrwulf/anza-cryptography-source, commit
77043ab - Patches: minimal Aeneas-compatibility only (documented in the source repo)
- Closest relative of the reference solution (same crate layout as solana-ed25519).
Toolchain (pinned)
| Component | Version |
|---|---|
| Aeneas | bf13c42e |
| Charon | 9dd7f23c |
| Lean | v4.30.0-rc2 |
| OCaml | 5.3.0 |
Reproducing
source ~/aeneas-toolchain/env.sh
cd verification
./extract.sh # Rust → LLBC → Lean (regenerates gen/)
./check.sh # compiles EVERY shipped file + axiom-audits EVERY certificate
The scalar layer has its own pair of buttons:
./extract-scalar.sh # regenerates gen/CurveScalar (Scalar52 limb arithmetic)
./check-scalar.sh # compiles the scalar gen + the proven scalar foundation
Trusted base
See TRUSTED-BASE.md for the complete list of assumptions (Lean kernel, mathlib, Charon/Aeneas semantics, external-function models, and — in the signature layer only — an opaque SHA-512 model).