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b4e8a4e733 audit: bind the scalar statements, and make the accounting identity mean audit
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>
2026-08-03 12:15:26 +02:00
55a688858c verification: pin the whole declaration surface (P1-b)
Phase 2b asks the kernel whether any AXIOM is declared under Proofs/. Phase 3
pins the cones of the named certificates. Between them sat every other
declaration in the corpus — around three thousand of them — and a helper lemma
quietly acquiring a hash oracle in its cone moved nothing either phase looked
at.

Phase 2c closes that. Ported from ltl-accumulator-verified, where a nine-attack
self-test proved a source-regex enumerator evadable by attributed, private,
indented and `instance` declarations and by a nested-namespace basename
collision. Reading the compiled environment sees what the kernel saw; no name
shape hides. Every constant contributes module, name, kind and full axiom cone,
and the observed set must equal inventory-allowlist.txt exactly in BOTH
directions, with a count trailer so a truncated run cannot pass as an empty
diff.

FOUR THINGS THIS BUILD GOT WRONG, each caught by a check rather than by review:

  - The number of inventory drivers is a per-repo FACT, not an assumption.
    dalek and anza cannot import their corpus as one environment (Proofs.Basic
    and Proofs.ConstSpecs both declare CurveFieldProofs.zero_spec); risc0 and
    betrusted have no Proofs.Basic at all. Determined by compiling a probe.
    check.sh now DISCOVERS its drivers from the filesystem instead of naming
    two, and the generator refuses to split out a module the repo lacks.

  - The split let one real declaration hide behind another's entry. Keyed on
    name alone, the two zero_specs produced byte-identical records, so 3022
    declarations were covered by 3021 allowlist entries. Caught by the count
    trailer. Every record now carries its originating module.

  - The gate's success line said "single sanctioned axiom", inherited from the
    accumulator's policy. This corpus permits NONE. A success message
    describing a different rule is how an assertion stops meaning anything.

  - selftest-axgate.sh lifted Phase 2b with a range ending at "Phase 3", so
    inserting Phase 2c between them made it swallow the new phase and die on
    variables only check.sh defines — surfacing as the BASELINE case failing,
    a self-test blaming a gate for its own extraction bug. Both self-tests now
    stop at the next phase marker whatever it is called, and refuse to run if
    they capture more than one phase. The guard is the fix; the range was the
    symptom.

WHAT THIS IS NOT, recorded in TRUSTED-BASE.md at the same length as the claim:

  - No independent cone walker. The accumulator cross-checks collectAxioms
    against a hand-written walker. Ported here it was wrong in BOTH directions
    on mathlib's inductive shapes: EdPoint gave [] against the kernel's three
    axioms, and once extended, ProjPoint gave three against the kernel's none.
    Two implementations disagreeing both ways are a second wrong answer, not a
    check. These cones rest on collectAxioms alone.

  - Thirteen Proofs/Scalar* modules are inventoried by nothing — the
    second-button seam, still open. Phase 2c names every uncovered module on
    every run so the omission is visible rather than inferred.

selftest-inventory.sh exercises the shipping gate with six cases, each
asserting a specific diagnostic, including the one that matters: a cone
widened by one oracle while name, module and kind stay put. Negative-tested by
disabling the gate's diff, which turns two cases red including one for the
wrong reason, correctly reported as such.

Verified green: 20 runs across the four repositories (four buttons, four
harness, four inventory, four axgate, four binding self-tests), zero red. The
four check-scalar.sh greens from the preceding sweep stand: that script neither
reads the pin file nor changed.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
2026-07-30 01:20:15 +02:00