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54 changes: 42 additions & 12 deletions CLAIMS.md
Original file line number Diff line number Diff line change
Expand Up @@ -13,17 +13,39 @@ and those are listed in §B.

## A. Claims

### A1. Theorem 1 (immunity) holds for the reference implementation

Verdicts are invariant under rewirings that preserve the root set, given
side-consistency on both sides.

**Evidence.** Exhaustive enumeration to `MAX_CLAIMS_EXHAUSTIVE = 6`: **116,032
eligible (world, rewiring) pairs, zero violations**, under both the parent-local
and root-based readings. `lineage/reference_mutant_audit.py`, row `correct`.

**Breaks if.** You exhibit one eligible pair where the verdict changes. The unit
and eligibility rule are stated in that file; you do not have to guess them.
### A1. Theorem 1 (immunity) — machine-checked, and stated with all its hypotheses

If two worlds are side-consistent, **have the same assertion function**, and have
the same root set, the verdict is identical. No constraint at all is placed on how
the non-root lineage differs.

**Evidence.** `proof_status: proved_compiled` — a Lean proof at
`formal/lean/MinorityProphetCore/Immunity.lean`, theorem
`MinorityProphet.immunity`. Finite verification recorded in
`formal/THEOREM-LEDGER.json`: 116,032 root-preserving forest rewirings and 1,992
root-preserving DAG rewirings, zero violations.
`lineage/reference_mutant_audit.py` **reproduces** the 116,032 figure; it does not
add to it.

**Drift is tracked, not hidden.** The ledger flags T1 `generalized_from_repository:
true` — it is broader than the paper's statement, which restricted which rewirings
counted. Two of the six theorems are flagged narrowed and two generalized, each
with its reason. T5 was narrowed by *adding* the same-assertion hypothesis, which a
counterexample proves necessary.

**A correction to an earlier draft of this file, kept visible.** A1 previously
omitted the same-assertion hypothesis and cited only the finite verification. Our
rewirings preserve sides by construction, so no measurement was affected — but
dropping a hypothesis from a claim statement is exactly the defect the ledger
records against the repository's original T5. The document meant to prevent that
error committed it.

**Not verified here.** No Lean toolchain was available in this session, so
`proved_compiled` is taken from the ledger rather than rebuilt. Rebuilding it is a
cheap and worthwhile attack.

**Breaks if.** The Lean proof does not compile, or you exhibit two worlds meeting
all three hypotheses with different verdicts.

### A2. The immunity ablation is not a test of `root_of`

Expand Down Expand Up @@ -172,7 +194,15 @@ result is not reproducible without them. It discloses none of their contents. No
finding depends on this check — it is a publication guard, not an instrument —
but the divergence is real.

**C6. Redaction did not remove anything from history.** Three items redacted on
**C6. Gate cites a proof document that does not exist.**
`minority_prophet/__init__.py` says "properties are proven (see FORMAL.md)". There
is no `FORMAL.md` in the gate repository. The proofs are real and live in this
repository under `formal/`, including the Lean development — so this is a dangling
citation rather than a missing proof, but a reader checking gate's central claim
follows a pointer to nothing. Not fixed here because it is a change to another
repository.

**C7. Redaction did not remove anything from history.** Three items redacted on
2026-08-09 remain fetchable from earlier commits on the public branch. Removing
them means rewriting 292 of 333 commits and breaking all six registration pins,
which was judged a worse trade than the exposure (owner decision). The `--sweep`
Expand Down
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