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08811d9118 Account for every constant the kernel sees, by set containment
THE GAP. The capability matrix in the control repo — built after the author
answered a capability question by grepping for a FILENAME rather than for the
property, three times in one session — asked whether each repository's auditor
enumerates itself. The four ed25519 forks answered no. Following that up found
something larger: `Proofs/Audit.lean`, the statement-binding driver from P1-a,
is compiled, is a member of the manifest, and was enumerated by NOTHING. The
kernel counted 3058 declarations where the inventory accounted for 3022, and
26 of the 36 missing were its.

THE PROPERTY, now enforced: every constant the kernel sees under this button's
manifest must appear, BY NAME, in either the corpus inventory or the
instruments' own surface. `emitDrivers` in InventoryCore walks the audit
modules and fails closed on an axiom (which would widen the trusted base
outside every cone) or on a standalone claim (which no certificate covers and
no allowlist pins), while admitting the obligations the elaborator generates
for a definition declared alongside it.

TWO WRONG FORMULATIONS FIRST, both recorded because the second is instructive:

  · `kernel = corpus + instruments + N_DRIVERS`, where the last term was
    justified as a per-driver "self-observation blind spot". It fitted dalek
    and anza (2 drivers, residual 2) and broke on risc0 and betrusted
    (1 driver, residual 2). The residual is 2 everywhere and has nothing to do
    with drivers. This was curve-fitting from a sample of one, and it was named
    as the highest-risk claim in the round-7 self-assessment BEFORE the data
    refuted it.
  · distinct-by-name counting, which collapses `CurveFieldProofs.zero_spec` —
    a name that genuinely denotes two different declarations, in Proofs.Basic
    and Proofs.ConstSpecs, walked by two drivers with separate environments.

THE MEASURED CAUSE of the residual. Lean materialises equation lemmas lazily,
when something forces an unfold, and each module that forces one gets its own
copy in its object file. `CurveFieldProofs.denote.eq_1` sits in both
SubNegSpec.olean and ConstSpecs.olean; `CurveFieldProofs.limbsVal.eq_1` in both
ReduceSpec.olean and ConstSpecs.olean. The kernel gate reads object files and
counts both copies; the environment holds one constant per name. Counts cannot
relate those two views in either direction — so the check compares SETS, which
is the idiom the rest of this estate already uses, and no constant remains that
could be widened to make a red run green.

Negative-tested: with the instrument walk disabled, the check names
Proofs.Audit's declarations as unaccounted.

ANZA also lacked one allowlist row, `subtle.Choice...from.eq_1`, the same
lazy-materialisation effect seen from the other side. Verified rather than
assumed before adding it: the parent is declared in gen/CurveField/
FunsExternal.lean — the model, pinned by bytes and not inventoried by
declaration — the lemma materialised in Proofs.CompressSpec which forced the
unfold, and all three other forks carry the lemma row while none carries the
parent.

CONSEQUENCE WORTH DISCLOSING: the audited declaration surface is not purely a
function of the corpus source. It depends on which proofs forced which
unfolds. This is now a known gap in the round-7 kit.

Also corrected here: Proofs/Inventory.lean's header claimed the audit drivers
were excluded from the compile manifest. They are lines 42-44 of PROOFS.

Certified by a full sweep: both buttons, all four forks, purged trees. 8/8.
2026-08-01 16:10:59 +02:00
847613eb76 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 01:20:19 +02:00