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80 changes: 49 additions & 31 deletions CURRENT_FOCUS.md
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# Current Focus

**Updated:** 2026-08-14
**Updated:** 2026-08-15 (H4 completed and promoted; B22 is next)
**Review due:** 2026-09-06 (end of the bootstrap allocation window)
**Full roadmap:** `ROADMAP.md` · **Research authority:** `NEXT_STEP.md`
**Full roadmap:** `ROADMAP.md` · **Research authority:** `NEXT_STEP.md`, **except where this
file supersedes it** — `NEXT_STEP.md` predates H4's completion and its L=5 targets are
superseded (see its banner).

---

Expand Down Expand Up @@ -35,46 +37,62 @@ task produced.

## Currently active

**No implementation task is currently authorized and in progress.**
# `B22` — Stage-B constraint census

This means no formally recorded implementation task is active. It does not mean the
project is inactive: governance, documentation, and infrastructure work has merged
since TASK-0001 under direct owner instruction rather than under a recorded successor
implementation task. No successor implementation task has been selected or authorized.
**Next research work, as preregistered.** B22 asks whether the bounded L=5 Stage-B test
set admits useful normalization and deduplication, over the (K,pos)-window / 30-variable
obstruction structure. See `OPEN_RESEARCH_QUESTIONS.md` B22 and the preregistration in the
untracked intake; **the B22 preregistration is unchanged by H4 and must stay unchanged**
unless the owner explicitly decides otherwise.

## Long-running computation in flight — descriptive, not an authorized epic
B22 is a census of the constraint structure. **It is not a rerun of the 3,316,540,933,500
concrete codings.**

**This is not an authorized epic and not a task.** It is recorded here so that a reader
of this file alone learns that a large computation is occupying this machine, and does
not start a conflicting or duplicate campaign.
Nothing else is authorized. Governance, documentation, and infrastructure work continues
under direct owner instruction rather than under a recorded implementation task.

## H4 — completed, promoted, no longer active work

```text
Name L=5 Route-C full-family closure campaign ("H4")
Location C:\MSVC\L5_FULL_CLOSURE_CAMPAIGN_1\results_h4\ (outside this repository)
State IN FLIGHT — not complete
Progress read it from the campaign artifacts; deliberately not copied here
Authority results_h4\FINAL_AUDIT.txt — the only completion signal
Claim NONE, until that audit exists and independently passes
Raw corpus C:\MSVC\L5_FULL_CLOSURE_CAMPAIGN_1\results_h4\ (outside this repository)
State COMPLETE — audited, independently reviewed, merged
Evidence docs/evidence/h4-l5-full-closure-2026-08/ (in this repository)
Claim MATH_CLAIMS.md row 111 — COMPUTED (Level 1), bounded
Result 2219/2219 shards, 0 missing, 0 duplicate, 0 survivors
```

**No progress figure is recorded here on purpose.** A shard count is stale the moment it
is written, and a stale count in a canonical file invites someone to reason from it. The
campaign's own artifacts are the only current source; completion is signalled by the
audit file, not by a count.
**What the result is.** Every uniform coding `g : Σ₆ → Σ₃⁵` — all `243⁶` of them — is
eliminated by at least one of two preregistered finite tests: Stage A's block-aligned
Parikh obstruction from `h₆⁹(a)` (`m ∈ [2,120]`, `K = 5m ∈ [10,600]`, first 98,415 coded
symbols), or Stage B's exact check (`K ∈ [6,40]`, first 3,645 coded symbols of
`g(h₆⁶(a))`). Stage A retained 5,153,928 profiles = 3,316,540,933,500 codings; Stage B
processed all of them and found 0 survivors.

**What it is not.** It is a *finite*, Route-C, L=5 result. It does **not** establish
Mäkelä's conjecture, and does not cover non-uniform morphisms, `L ≥ 6`, all ternary
constructions, or source morphisms other than `h₆`. The combined window is **98,415**
coded symbols, not 3,645 — Stage A's window is 27× larger (`EPISTEMIC_DISCIPLINE.md` §10).

**Accepted provenance caveats — still open operational facts, not scientific failures:**

**Partial progress is not a result.** A campaign that has not finished has decided nothing
about the L=5 family: the shards not yet processed could contain a survivor, which would
be a positive finding rather than an error. No `MATH_CLAIMS.md` row may cite this campaign
until the campaign audit exists and independently passes. Row 49 is unaffected and must
not be reworded on the strength of partial progress.
```text
per-shard executable identity not recorded; same-binary identity across the
campaign's resumes is not reconstructible per-shard
real-survivor validation path never naturally exercised (0 survivors); only a
synthetic alert self-test exercised that path
Stage-A artifact durability no second physical backup yet (single physical disk)
```

**Naming hazard.** A file named `FINAL_AUDIT.txt` already exists elsewhere in the tree
(`imported-artifacts\L5_FINAL_VERIFICATION_4\six_lane_results\`). That one is a
**six-shard rehearsal** of the tooling and establishes nothing about the L=5 family. Only
the campaign path above is authoritative.
**Naming hazard — still live.** A file named `FINAL_AUDIT.txt` also exists at
`imported-artifacts\L5_FINAL_VERIFICATION_4\six_lane_results\`. That one is a **six-shard
rehearsal** of the tooling and establishes nothing about the L=5 family. Only the campaign
path above, and the merged evidence package, are authoritative.

**This block needs a revisit when the campaign ends** — at that point the audit result,
not a progress figure, is what belongs here.
**Not promoted, and not to be promoted without new work:** the idea that shallow L=5 kills
would imply anything about L=6 is an **exploratory hypothesis only**. A kill-depth
measurement remains a possible *separate* future exploration over aggregate distributions
on a stratified sample — it is **not** part of B22.

---

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1 change: 1 addition & 0 deletions KNOWLEDGE_STATE.md
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Expand Up @@ -97,6 +97,7 @@ exhausted. They stay closed.
| The ternary abelian-square-free language ends at length 7 | exhaustive search | 1 |
| **No** k-uniform ternary morphism, k ≤ 6, produces a Mäkelä fixed point | exhaustive sweep | 36 |
| **Route (c):** no uniform map Σ₆ → Σ₃^L, L ≤ 5, produces a Mäkelä word from h₆'s fixed point | exhaustive sweep | 49 |
| **Route (c) at L=5, full coding family:** all 243⁶ = 205,891,132,094,649 uniform codings eliminated by the two H4 preregistered finite tests; 0 survivors | two-stage exhaustive campaign (Parikh obstruction + exact prefix check) | 111 |
| **Route (c) at L=6:** all 200,106 canonical codings avoiding K ∈ [2,5] also violate K ∈ [6,100] | locality-CSP + exhaustive escalation | 78, 79 |
| **No coding at all** at L = 1, 2, 3 avoids the large periods, small window ignored (S_large(L) = 0) | exhaustive sweep | 79 |
| No infinite [2,5]-free word exists over a two-letter sub-alphabet | cycle search in the container graph | 51 |
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