mrwulf
4348da50fe
Closes four round-7/8 findings. Certified by the round-12 sweep: five repositories, both buttons and every self-test, 48/48 GREEN. ── `scalar-statements-unbound` (gpt, round 7, CRITICAL) ──────────────────── The main button bound its 31 certificates' elaborated statements and reachable specification bodies. This button bound NONE of its thirteen, while TRUSTED-BASE item 8 said the audit covers "every certificate" — false across the 44-certificate surface. The finding was raised in round 7, lost from the round-8 work list by an F-number collision between two reviewers, and re-raised in round 8. Proofs/ScalarAudit.lean is generated from each fork's OWN Audit.lean, so the canonicalisation is provably the same code: pp.all rendering, whitespace normalisation, transitive specification closure. check-scalar.sh Phase 3c pins the block's digest, requires the committed copy to match byte-for-byte so a mismatch can be DIFFED, and cross-checks the auditor's certificate set against the button's CERTS array. dalek ecf3a3f8 · anza 0d942e47 · risc0 4b550a61 · betrusted 4b550a61 risc0 and betrusted share a digest and that is correct, not a collision: their ScalarSubSpec.lean differs only in doc prose and in `black_box` entries inside `simp only [...]` lists AFTER `:= by`. Proof scripts. They bind the same statements over the same specifications, which is the documented scope. selftest-scalar-statements.sh ships the two attacks the reviewer asked for: ok gutted statement caught (cone unchanged) ok rewritten specification body caught (name and cone unchanged) The second rewrites a reachable reference body to `id (…)` — DEFINITIONALLY EQUAL, so the corpus compiles and every proof typechecks and the cone is byte-identical. Every earlier phase is blind to it. ── `drv-surface-no-cones` + `accounting-certifies-enumeration` (claude) ──── The round-7 accounting identity proved every kernel constant was ENUMERATED. The reviewer showed enumeration is not audit: their planted claim WAS enumerated, as DRV|LTLAccAudit.bait.smuggled|theorem with a real cone, and nothing examined it — rows had no cone, no allowlist covered them, the statement digest does not reach instruments, and Phase 2b gates DECLARED AXIOMS, a different question. "Progress of one step, not two." DRV rows now carry their axiom cone and are pinned in driver-allowlist.txt by inventory_gate.sh with a DRV tag — the same implementation that pins the corpus, in both directions, because a second copy of a coverage gate is a second thing to drift. The axiom policy is per-surface and enforced per surface: the corpus admits exactly the sanctioned boundary, the instruments admit none, and an instrument axiom fails EVEN WHEN ALLOWLISTED. Verified with the reviewer's own payload, both placements: before the walk -> UNCLASSIFIED: DRV|…|bait.smuggled|theorem|Classical.choice,Quot.sound,propext after the walk -> ACCOUNTING FAILED names it (kernel-side) ── `drv-naming-heuristic` (claude, round 7) ──────────────────────────────── Retired as load-bearing rather than patched. The rule admits a theorem whose name extends a constant declared alongside it, and "breaks in one line" — declare `def bait`, then `theorem bait.smuggled` walks through. It stays as a fast readable first check; membership in a committed allowlist is what now carries the weight, and a new row fails closed whatever it is called. ── what round 11 caught, which was mine ─────────────────────────────────── DRV rows first shipped WITHOUT their originating driver. dalek and anza run two drivers, each declaring its own `corpus`; keyed on name alone those two distinct declarations produced one byte-identical row, `sort -u` collapsed them, and the trailers summed to 37 against 36. The estate had already learned this on the corpus walk — INV rows carry their module because two modules both declare CurveFieldProofs.zero_spec — and I rebuilt the record without it. Rows now carry their driver, and the gate FAILS CLOSED ON DUPLICATE RECORDS naming the collision: two declarations sharing one entry means one is covered by the other's, which is exactly how a real declaration hides. The trailer now checks what the drivers EMITTED, not what survives de-duplication — conflating "the run was truncated" with "two rows were identical" is what let a record-format defect present itself as an arithmetic complaint. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> |
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|---|---|---|
| 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 ⇔ decompress(R) = [k](−A)+[s]B
├──────────────────────────────┤
│ 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) | verify_accepts_iff … verify_accepts_iff_decompress (4 tiers) |
✅ proven (phases 1+2) | standard three + the button-enforced SHA-512/wire-format boundary — see The signature apex |
Status legend: ✅ proven & axiom-audited · ⏳ in progress · ❌ not started.
This table is updated only when verification/check.sh passes for the layer.
The signature apex (phases 1 and 2)
The apex certificate CurveFieldProofs.verify_accepts_iff is the literal EdDSA
acceptance criterion, proven about the extracted verifier:
For a signature that parses, the verifier returns
Ok(())iff the recomputed compressed pointcompress([s]·B − [k]·A)equals the signature'sR, byte-for-byte — wherekis whatever scalar the opaque SHA-512 oracle produces from(R, A, msg).
The recomputation runs entirely through the proven model: anza's verify code lives in the same crate as the curve (src/ed_sigs), so
the whole verify path joins the one merged gen/CurveField extraction directly —
no glue layer, no name-welding. The Error enum and the parse/filter helpers are
real extracted code; only the SHA-512 oracle (sha512_hash3) and the foreign
ed25519::Signature type with its two byte accessors stay opaque — the tightest
boundary of the four sibling repos.
Which verifier is verified? The certificate is about
VerificationKey::verify_sha512, which is semantically identical (documented, pure refactor) toVerificationKey::verify_dalek— the dalek-style canonical-Rbyte-comparison path, including this crate's legacy filters (all-zero key, excluded-Rlist) and the stricts < ℓcheck. The crate's defaultverify()uses the HEEA-accelerated Zebra/ZIP-215 path, which is a different acceptance criterion and is not covered by this certificate.
check.sh has a dedicated audit phase (Phase 3b) that fails the build unless
each apex-tier certificate's axiom cone is exactly
[propext, Classical.choice, Quot.sound] + {ed25519.Signature, ed_sigs.sha512_hash3, ed25519.Signature.r_bytes, ed25519.Signature.s_bytes}
— i.e. the three Lean foundations plus the documented SHA-512/wire-format
boundary. Zero curve, scalar, or backend axioms. The companion certificate
verify_loop_full (the 32-byte comparison loop computes array equality)
carries the standard three axioms only.
Phase 2 (complete): the point-level lift. Phase 3b enforces the SAME axiom boundary on three further tiers that lift the byte equation to points:
| Tier | Certificate | Statement |
|---|---|---|
| half-lift | verify_accepts_iff_point |
accepted ⇔ R = the canonical encoding of [k]·minus_A + [s]·B (compress semantics + as_bytes canonicity + hash-to-scalar, recompute chain inverted) |
| point equation | verify_accepts_iff_point_eq |
for any valid on-curve Q canonically encoded by R: accepted ⇔ Q = [k]·minus_A + [s]·B as points (encoding-injectivity: d non-square + parity root-selection) |
| full lift | verify_accepts_iff_decompress |
R decompresses to a valid on-curve Pt, and accepted ⇔ Pt = [k]·minus_A + [s]·B — the constructive capstone |
The full lift runs through the extracted CompressedEdwardsY::decompress
itself, proven end-to-end: from_bytes parses the y-residue exactly below
bit 255 (from_bytes_spec), sqrt_ratio_i returns the even square root of
(y²−1)/(dy²+1) (sqrt_ratio_i_sq_spec, Fermat-exponent square root), and
the sign bit selects the x-parity (decompress_of_canonical, standard three
axioms). Byte comparison ↔ encoding equality ↔ point equality ↔
decompressed-point equality: every link is machine-checked over the
extracted code, and check.sh fails the build if any of the four tiers'
cones deviates from the boundary above.
Source
- Upstream: anza-xyz/cryptography, commit
0a54cca - Pinned/patched source: saymrwulf/anza-cryptography-source, commit
5f8e70e(adds the decompress step_2 negate-then-assign patch) - 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 gen model is ONE merged universe (gen/CurveField: field + curve +
scalar + the verify path's reachable code), regenerated in full by
extract.sh. The scalar layer keeps its own check button:
./check-scalar.sh # compiles the merged gen + all scalar proofs (add, sub,
# Montgomery mul, byte-parsing) and kernel-audits the
# scalar certificates, incl. the scalarImplementation
# aggregate
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).