# STACK B — design-first gap analysis

Version: `0.1.0-STACK-B-GAP-ANALYSIS`  
Status: `GATE PASSED / CANDIDATE IMPLEMENTATION AUTHORIZED BY M2M ONLY`  
Date: `2026-08-23`

## 1. Gate question

Can the approved Stack B baseline be implemented entirely as a non-runtime
candidate without mutating registered providers, importing AEGIS, inventing
semantic content, or presuming integration authority?

Result: `YES`.

## 2. Requirement coverage

| ID | Requirement | Existing support | Local gap | Resolution inside candidate |
|---|---|---|---|---|
| G-01 | nine B–K carriers | Ars alphabet, CAPUT B, current providers | no B-local registry | immutable reference fixture |
| G-02 | exact human propositions | recovered M2M + human confirmation | provenance was not machine-bound | JSON fixture with authorship and SHA-256 target |
| G-03 | SARTS grammar | human OPERATUM and source regimes | no explicit B schema | TENET B + record schema |
| G-04 | four wheels and S revisit | approved design; H alignment relation | no ROTA B | ROTAS B candidate |
| G-05 | six incidences without six rings | approved design | topology/cardinality ambiguity | separate incidence and wheel fields |
| G-06 | categorical `SER` | human diagonal-medium law | no admission predicate | AREPO B alignment gate |
| G-07 | supported contraction | A contraction + human decision | no B-local state transition | explicit `CATEGORICAL/CONTRACTED/SUSPENDED/REJECTED` state machine |
| G-08 | RQ-to-R lineage | E/AREPO E/OPERA E + TENET I | no declarative bridge record | ancestry object required by schema |
| G-09 | S1/S2 roles | Stack S/K | no revisit trace | two roles plus one wheel ID and two visit IDs |
| G-10 | 9+36 partition | C/G sources + Stack G | no cross-stack boundary fixture | complement validator |
| G-11 | nine positions without padding | approved baseline | no output contract | SATOR B positional envelope |
| G-12 | virtue/vice boundary | Stack S/K + human decision | risk of CAPUT-driven completion | explicit exclusion and adverse fixture |
| G-13 | AEGIS isolation | human boundary | risk of source import | source register + validator prohibition |
| G-14 | low-token surface | recovered intent | no measurement fixture yet | candidate output profiles; empirical deployment remains later |
| G-15 | any-domain contextualization | A/S/T/E interfaces | actual OPERATA unavailable in static design | typed synthetic fixtures only; no OPERA simulation |

## 3. Resolved design decisions

### 3.1 Topology

```text
wheels = [W_SK, W_A, W_R, W_T]
visits = [ANCHOR, S1, A, R, T, S2]
S1.wheel_id = S2.wheel_id = W_SK
S1.visit_id != S2.visit_id
```

The optional six-ring projection is a derived representation. It must round-trip
to the four-wheel record without semantic loss.

### 3.2 Copular admission

```text
if all five SARTS roles share carrier X
and every role/source/relation is admitted:
    CATEGORICAL_SER
else if carriers share X
and an explicit weaker relation is admitted:
    CONTRACTED
else if carriers share X:
    SUSPENDED
else:
    REJECTED_CARRIER_MISALIGNMENT
```

Misalignment is never repaired by hedging.

### 3.3 Output cardinality

The envelope contains exactly nine ordered records. A record in `SUSPENDED` or
`REJECTED` state has no `rendered_sentence`; this is not a missing position and
must not be padded.

### 3.4 RQ bridge

Reference mode may use the frozen human R terms with declared provenance.
Contextual mode requires:

```text
Q -> R0 -> R1 -> R(Q) -> TENET I mixture -> declarative R_X
```

Absence of any link suspends the record.

### 3.5 Stack boundaries

- Stack B owns nine diagonal, cross-regime predicative records.
- Stack G owns 36 heterogeneous Figura Tertia chambers and Evacuatio.
- Stack S/K owns subject/species typing.
- The separate virtue/vice stack owns A×T-derived moral results.
- No current provider is copied or modified.

## 4. Non-blocking limitations

1. Contextual examples in this candidate are typed fixtures, not executions of
   OPERA A, E, S, T, G, H, or I.
2. Low-token acquisition and re-entry require a later deployment experiment.
3. Natural canonical-to-applied medium reflection remains a hypothesis.
4. Six-ring visual materialization is not required for the semantic candidate.
5. Candidate integration and SYSTEM_INDEX placement remain human gates.

## 5. Blocking checks

| Check | Result |
|---|---|
| all source roles identified | PASS |
| all new semantics trace to human decision or source | PASS |
| no registered provider mutation required | PASS |
| no AEGIS import required | PASS |
| no virtue/vice derivation required | PASS |
| no OPERA G execution required | PASS |
| candidate destination isolated | PASS |
| failure semantics closed | PASS |

## 6. Gate disposition

`DESIGN_GATE_PASS`.

The slice may create the five candidate class artifacts, typed fixtures,
schema, validator, and tests inside this directory. This disposition grants no
runtime, integration, registry, deployment, or canonical authority.