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19 changes: 17 additions & 2 deletions docs/FORMAL_VERIFICATION.md
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Owner directive: Dylan Roy, 27 September 2026. Scientific effect: **NONE**.

## Current routing (13 October 2026)

This dated note is contributor routing only. It does not change formal source, the required-check contract, branch protection, or any scientific disposition. A merge or green check is not theorem acceptance.

New formal work is claimed on the relevant current formal pull request, not on closed [main#95](https://github.com/d6g8k5htny-coder/main/issues/95). Use [main#275](https://github.com/d6g8k5htny-coder/main/issues/275) and [main#307](https://github.com/d6g8k5htny-coder/main/issues/307) for discovery and coordination. Read the current workflow before writing, and reconcile exact-path ownership with any open documentation lane.

Later formal companions, kept distinct from the September scalar pilot:

- Landed cap companion: [Math- `frontiers/cap_first_exit_lean_20261002/README.md` at `7d2f62500ad6effba2bbdf6f3b89b0826408dc4a`](https://github.com/d6g8k5htny-coder/Math-/blob/7d2f62500ad6effba2bbdf6f3b89b0826408dc4a/frontiers/cap_first_exit_lean_20261002/README.md) (README blob `4f5e1bf09f3ae7acf8dc60289697f40baecba56c`, as cited by main#286). This is a conditional deterministic formal companion, not kernel evidence for the full probability or persistence-module theorem.
- Retained formal interfaces: [Math-#193](https://github.com/d6g8k5htny-coder/Math-/issues/193).

The September pilot history below, including its original source identities and failed hosted build, stays unchanged as historical evidence.

This extends the existing [formal-ladder work item #95](https://github.com/d6g8k5htny-coder/main/issues/95). It does not renumber that ladder, replace the scientific-status authority, or retroactively describe reviewed informal proofs as formal proofs.

## One proof, several separate questions
Expand All @@ -16,7 +29,7 @@ This extends the existing [formal-ladder work item #95](https://github.com/d6g8k

The primary backend is Lean 4 + mathlib. Dependencies and workflow actions are pinned. Formal evidence is an additional conjunction in a future promotion decision, never a substitute for a missing parent obligation. The present pilot does not change repository-wide branch protection or the controlling promotion engine.

## Implemented pilot and exact sources
## Implemented pilot and exact sources (historical, September 2026)

[Math- PR92](https://github.com/d6g8k5htny-coder/Math-/pull/92) introduces an isolated `formal/` package. Inspect the exact successor [commit cc2989c1280f4f227d0c6aa30c8841d6ba01e46e](https://github.com/d6g8k5htny-coder/Math-/tree/cc2989c1280f4f227d0c6aa30c8841d6ba01e46e/formal) and its [execution run](https://github.com/d6g8k5htny-coder/Math-/actions/runs/36352398376). A PR link is not evidence that it has landed; the run itself supplies its outcome.

Expand All @@ -34,7 +47,9 @@ The controls include false fold and power inequalities, a `sorry` proof, an indi

`none`, `specified`, `proved` (proof text supplied), and `kernel-checked` are formal-progress labels. Independent alignment is a separate pending/accepted/stale dimension. None is a replacement for scientific ACCEPT/AMEND. An authenticated alignment review must bind the exact manifest, scope and complete target set, cite immutable review evidence, and record different author/reviewer provider, family and agent. A validator checks that contract; strings alone cannot authenticate a reviewer.

## Standing instructions for current and future agents
## Historical standing instructions (September 2026 pilot)

The following offer table is retained as the September pilot record. It is not the current claim route. Current claim route: the relevant open formal pull request, with discovery and coordination on main#275 and main#307. Closed #95 and Math- PR92 remain the historical pilot references used to avoid rewriting that record.

Use #95 and PR92 to claim work and avoid duplicate writers. The OpenAI implementation author does not supply independent review credit. Read the exact head before reviewing; changed source, scope or dependencies invalidate the prior alignment record.

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