docs(generalization): Tier S evidence packet — ratification record + curriculum-volume quantification (S1, S6)

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# Curriculum-Volume Quantification — ADR-0262 §5.1
**Tier S6** (generalization-arc-2026-07-24 §6). Evidence only. This
document does not propose ratifying curriculum content or flipping
`curriculum_serving_enabled` — both are Shay's decisions
([[project-curriculum-serving-ratified]] doctrine: a flag flips on earned
evidence, not proximity to it). It answers one question precisely: *how
short of a SERVE license is each served `(subject × relation family)` band
today, measured against the actual ratified corpora, not an estimate.*
Method: `teaching.curriculum_premises.load_curriculum(domain)` — the same
loader the curriculum composer uses in serving — run against each of the
four subjects `chat.curriculum_surface.SERVED_DOMAINS` currently routes to.
Counts below are chain counts (ratified, vocabulary-resident, `review_status
== "reviewed"`), i.e. exactly the population `compile_premises` would draw
premises from; nothing here touches unmounted or unratified content.
## 1. The floor, restated precisely (§1.2 of the ratification packet)
`Action.SERVE` needs a one-sided Wilson lower bound ≥ θ=0.99
(`core/reliability_gate/ceilings.py`, `core/reliability_gate/floor.py`). For
a perfect record this reduces to `committed / (committed + z²)` with
`z = 2.576`, which crosses 0.99 at **committed ≥ 657**.
657 committed cases alone is not sufficient — the plan (§6) and the
ratification packet both require a **genuine outcome mix**, not 657
restatements of the same fact padded with paraphrase (repetition-padding
was already considered and rejected as dishonest earlier in this arc:
`conservative_floor` cannot distinguish "657 independent facts" from "16
facts asked 41 times each," but a ledger that gamed the floor that way
would not have *earned* anything). Treating "genuine mix" as roughly a
three-way split across `entailed` / `refuted` / `unknown` (the plan's own
working assumption, not a formally ratified policy — flagged here as an
assumption, not fact) puts the **entailed bucket's floor at ≈219 distinct
taught relations** — `⌈657 / 3⌉`. That is where the plan's "≈219 per
subject × family" figure comes from; this document supplies the measured
`n` for every currently-served band to compare against it.
## 2. Measured ratified-chain counts, per subject × family (2026-07-24)
| domain | family | ratified chains (n) | 657÷n | 219÷n |
|---|---|---:|---:|---:|
| physics | causal | 7 | 94× | 31× |
| physics | modal | 9 | 73× | 24× |
| mathematics_logic | modal | 4 | 164× | 55× |
| mathematics_logic | sequence | 4 | 164× | 55× |
| mathematics_logic | contrast | 8 | 82× | 27× |
| mathematics_logic | evidential | 8 | 82× | 27× |
| systems_software | causal | 7 | 94× | 31× |
| systems_software | modal | 6 | 110× | 37× |
| systems_software | sequence | 3 | 219× | 73× |
| philosophy_theology | modal | 8 | 82× | 27× |
| philosophy_theology | contrast | 8 | 82× | 27× |
11 bands are live (a subject × family pair with ≥1 ratified chain routes
questions today, per `chat.curriculum_surface.band_for`); every one is
between 24× and 73× short of the entailed-bucket floor alone, before even
authoring the matching refuted/unknown volume. **No served subject has a
family close enough to flag as "next."** Systems-software `sequence` (n=3)
is the thinnest; mathematics_logic `modal`/`sequence` (n=4 each) are tied
for second-thinnest; physics `modal` (n=9) is the closest of the eleven,
still 24× short.
Total ratified chains per subject (all families, informational context —
not a band-level floor since bands are scored per family, not per subject):
physics 16, mathematics_logic 24, systems_software 16,
philosophy_theology 16.
## 3. Vocabulary is not the constraint
`Curriculum.vocabulary` (every lemma the subject's mounted packs teach) is
16 lemmas for physics/mathematics_logic/systems_software and **151** for
philosophy_theology — an order of magnitude more vocabulary than chains in
every subject. The gate `untaught_vocabulary` (§4.6) is not what is holding
any band back; the terms are taught, the *relations between them* are not
authored in ratified volume. This confirms ADR-0262 §5.1's framing: the
blocker is curriculum content authorship, not reader/vocabulary coverage —
see also S3's mechanism-vs-coverage instrument
(`docs/research/vocab-trigger-instrument-2026-07-24.md`), which finds the
curriculum path's own refusals are overwhelmingly coverage-class for a
different reason (relation, not term, absent) while carrying zero
`untaught_vocabulary` refusals in the committed lane corpus.
## 4. What one subject fully reaching the floor would look like
Taking physics `modal` (the closest band, n=9) as an illustration only: it
would need roughly 210 more ratified `requires`/`enables` relations,
authored and reviewed through the existing curriculum ratification
pipeline, before an entailed bucket alone could support a 657-committed
band — and that is before authoring the matching refuted/unknown volume
this document is not attempting to size (refuted questions need explicit
negative curriculum content the corpora do not currently carry at all;
unknown questions are comparatively cheap to author from
in-vocabulary-but-untaught pairings, so they are not expected to be the
binding constraint).
## 5. Non-goals of this document
- Does not recommend which subject or family to grow first — that is
content strategy, Shay's call.
- Does not estimate authoring effort/time (no clock-time estimates per
standing convention).
- Does not touch `curriculum_serving_enabled` or any corpus file.
Relates to [[project-curriculum-grounded-serving]],
[[project-generalization-arc]], `docs/adr/ADR-0262-curriculum-grounded-serving.md` §5.1.

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# Ratification Packet — `deduction_serving_enabled` and `curriculum_serving_enabled`
**Tier S1** (generalization-arc-2026-07-24 §6). Evidence collation only — the
flag flip is Shay's decision alone, never inferred from this document or from
approval of adjacent work. This packet has two independent sections: one
recording a decision already made, one recording why a decision has not been
made.
---
## 1. `deduction_serving_enabled` — RATIFIED ON (2026-07-24, main @ `5fd9a861`)
This section is a **record**, not an input to the decision. Shay ratified the
flag flip on 2026-07-24; the evidence below is what stood behind that
ratification, preserved for audit and for anyone rolling back or re-deriving
the decision later.
### 1.1 Sealed-practice ledger — 25 bands, 720/720 wrong=0 each
`chat/data/deduction_serve_ledger.json` (schema `deduction_serve_ledger_v1`,
provenance `evals.deduction_serve.practice.runner.seal_ledger`, content
`a056f899…`). The engine only *reads* this artifact — it is committed,
SHA-sealed, and never written by serving.
| # | classes | committed | correct | wrong | refused |
|---|---|---|---|---|---|
| 25 | see below | 720 each | 720 each | **0** | 0 |
Classes (25): `atomic`, `categorical`, `conditional_chain`,
`conditional_single`, `disjunctive` (Band v1/v1b) · `en_atomic`,
`en_conditional_chain`, `en_conditional_single`, `en_disjunctive` (Band
v2-EN, ADR-0257) · `en_member_atomic`, `en_member_chain`,
`en_member_negative`, `en_member_single` (Band v3-MEM, ADR-0258) ·
`en_condmem_chain`, `en_condmem_conditional`, `en_condmem_disjunctive`,
`en_condmem_fused` (Band v4-CM, ADR-0259) · `en_verb_chain`, `en_verb_fact`,
`en_verb_negative`, `en_verb_universal` (Band v5-VP, ADR-0260) ·
`en_exist_chain`, `en_exist_negative`, `en_exist_universal`,
`en_exist_witness` (Band v6-EX, ADR-0261).
### 1.2 Earned-license gate ceilings (ADR-0175 §4a, `core/reliability_gate/`)
`Action.SERVE` ceiling is θ=0.99 (`core/reliability_gate/ceilings.py`). The
floor is a pinned one-sided Wilson lower bound
(`core/reliability_gate/floor.py::conservative_floor`), deterministic and
replay-stable (no learned weights, no sampling). For a perfect record
(`successes == committed`) the bound reduces to
`committed / (committed + z²)` with `z = WILSON_Z = 2.576`; solving
`committed / (committed + z²) ≥ 0.99` gives `committed ≥ 99·z² ≈ 656.9`,
i.e. **n ≥ 657** — where the standing "n≥657 committed" figure comes from,
not a chosen round number. All 25 classes commit 720 ≥ 657 with a perfect
record, clearing the floor with margin.
### 1.3 Serve-lane results — production pipeline, independent gold
`evals/deduction_serve/report.json` runs the *exact* pipeline
`chat/deduction_surface.py` calls in serving (shape-gate → reader →
projector → ROBDD engine), scored against independently-authored gold —
**166/166 correct, 0 wrong, 0 declined**, across six splits:
| split | n | band |
|---|---|---|
| v1 | 28 | propositional / categorical |
| v2_en | 26 | English opaque-clause arguments |
| v2_member | 26 | singular-membership arguments |
| v2_condmem | 26 | conditional-membership fusion |
| v2_verb | 28 | verb-predicate arguments |
| v2_exist | 32 | existential arguments |
`wrong` staying 0 is the lane's non-negotiable gate (a decline is a coverage
miss, tracked but never conflated with a wrong answer); `all_correct=true`
confirms every committed case, not just the wrong-count, matches gold.
### 1.4 Commit gate — narrow by construction
`chat/deduction_surface.py::looks_like_deductive_argument` is a single
regex: a sentence-initial `"therefore"` conclusion clause
(`_ARGUMENT_CONCLUSION_RE`). This is a genuine signal of intent — text
shaped that way IS an argument — so the composer can commit on shape alone
without risking hijacking ordinary turns. (Contrast with curriculum's gate,
§2.4 below, which cannot use shape alone.) Once committed, every branch is
fail-closed (INV-34): a decided verdict, a typed reader refusal, or the
generic out-of-band surface — never a silent fall-through to a different
composer.
### 1.5 Blast radius (verified before the flip, not assumed)
- Deductive suite (`core test --suite deductive`) — 268 passed with the flag
on.
- `chat/runtime.py::_maybe_pack_grounded_surface` — the deduction branch is
checked **before** the empty-vault gate (unlike pack/teaching/partial/oov):
a pure function of input text, independent of vault/field warm-or-cold
state, so it cannot perturb any other dispatch path's preconditions. A
claimed turn sets `grounding_source="deduction"`; every other path is
reached exactly as before when the composer declines
(`DispatchAttempt(source="deduction", outcome="skipped", ...)`).
- Lane pins (`scripts/verify_lane_shas.py`) stayed 10/11 across the flip —
unchanged, i.e. the flip touched nothing any other pinned lane measures.
### 1.6 Rollback
One line: `deduction_serving_enabled: bool = True``False` in
`core/config.py`. Flag-off is byte-identical to pre-arc dispatch — pinned by
`tests/test_deduction_surface.py::test_flag_off_preserves_pack_token_gloss_byte_identity`.
No residue: the composer is a pure function gated entirely by the one flag
read at `chat/runtime.py:1748`; nothing it touches persists state.
### 1.7 Unearned shapes stay disclosed, not withheld
Every band above is licensed. A future band, or a deployment whose ledger is
stripped, still gets the sound ROBDD answer — served DISCLOSED via the
`_UNVERIFIED_SHAPE_DISCLOSURE` hedge (`chat/deduction_surface.py`), never
presented as verified. This is what makes serving an *earned* capability
rather than a merely flagged one, and it is why disclosure is not itself
evidence against ratifying a *licensed* band.
---
## 2. `curriculum_serving_enabled` — stays OFF (ADR-0262)
This section exists to make the non-decision as auditable as the decision
above: **every curriculum band is unearned**, so flipping this flag would
enable a capability that answers *disclosed*, never authoritatively — sound,
but with no demonstrated track record on the pipeline serving it.
### 2.1 Same shape of evidence, opposite conclusion
`evals/curriculum_serve/report.json`: physics lane **32/32 correct, 0 wrong,
0 declined**, `all_correct=true`, 5 anti-recall probes (≥ the §4.7 floor of
3). This is a clean lane pass — the mechanism is proven — but it says
nothing about *volume*, which is the actual gate.
### 2.2 Why no band can earn SERVE from present data (ADR-0262 §5.1)
The reliability floor (§1.2 above) needs **n ≥ 657 committed** per band, and
a band here is `(subject × relation family)` — e.g.
`curriculum_physics_causal`. Physics teaches 7 causal + 9 modal relations
total (§6 below has the full count), so **at most 16 questions in the
entire subject can ever come back `entailed`** — roughly 25× short of a
single band's floor, before even asking for a *mix* of entailed/refuted/
unknown outcomes (a real reliability claim needs more than one outcome
class repeated). This is a volume ceiling on the ratified curriculum, not a
defect in the reader, the bands, or the engine — all of which are the same
verified components §1 already licensed.
### 2.3 The ledger says it plainly
Every one of the curriculum bands present in a ledger would show `committed`
in the low tens, nowhere near 657. (No curriculum-specific sealed ledger
exists yet, precisely because sealing one at this volume would just
document the shortfall — see [[project-curriculum-grounded-serving]] and
S6, `docs/research/curriculum-volume-quantification-2026-07-24.md`.)
### 2.4 Commit gate — routability, not shape (ADR-0262 §5.3, already fixed)
Unlike deduction's `"therefore"` gate, curriculum's `"Does …?"` shape is not
itself a signal of intent — it is one of the most common ways to open *any*
English question. `chat/curriculum_surface.py::is_curriculum_question`
commits only when the question parses to three tokens AND both terms are
vocabulary some served subject actually teaches (`resolve_domain`); an
`untaught_vocabulary` refusal is explicitly **not** a claim (the composer
declines the turn entirely, byte-identical to before this composer
existed). This was a real defect found and fixed this arc (commit-gate
firing on any `Does …?` text, e.g. "Does the build pass?"); the fix is
already on `main` and is not part of what remains gated by this flag.
### 2.5 What flipping ON today would mean
Every served answer would carry the `_UNVERIFIED_SHAPE_DISCLOSURE` hedge —
"(answered from my curriculum, but I haven't yet earned a verified track
record on questions of this shape)" — because `_license_gate`
(`chat/curriculum_surface.py`) finds no `Action.SERVE` license for any
`curriculum_<domain>_<family>` band. The capability would be real and
sound (same argument bands, same ROBDD engine as §1) but never
authoritative. This is not unsafe to ship; it is simply not yet *earned*,
and the standing rule (Shay, 2026-07-24) is that a flag flips on earned
evidence, not on proximity to it — see
[[project-deduction-serving-ratified]].
### 2.6 Rollback / blast radius, for parity with §1.6
Same shape as deduction: one line in `core/config.py`
(`curriculum_serving_enabled: bool = False`, already the default — nothing
to roll back), checked immediately after the deduction branch in
`chat/runtime.py:1764`, pure function of text + ratified curriculum, no
vault/field dependency. Flag-off is byte-identical to pre-arc dispatch by
construction (the branch is dead code when the flag is False).
---
## 3. What would close §2 (evidence only — not a proposal to act)
Nothing in Tier S closes this gap; it closes only when ratified curriculum
content grows roughly 25× per served `(subject × family)` — a content
question for Shay, not an engineering one. See S6's quantification,
`docs/research/curriculum-volume-quantification-2026-07-24.md`, for the
per-subject arithmetic.