Phase 2I: BEST Names Architecture — Closing Summary#

Generated 2026-03-26 by Claude Opus 4.6 (claude-opus-4-6) at /effort max. This is the closing llog for Phase 2I, documenting the deliverable audit, key design decisions, stress-test findings, known limitations, and Phase 3 handoff for the BEST Names architecture.

1. Phase Overview#

Phase 2I is a post-processing phase inserted between Phase 2H (stress-test freeze, OOv2) and Phase 3 (content deployment). It was triggered by the discovery during Phase 2H that .. include:: directives create duplicate Sphinx labels when the same content appears in both a source file and an aggregation page.

Objective: Design and deploy a comprehensive, stable, extensible naming architecture for all cross-reference labels in the matheology section, applying the Evolvix BEST Naming system (Brief, Explicit, Summarizing, Technical dialects) to a 7-dimensional label grammar.

1.1 Sub-Sessions#

Phase 2I was planned as 9 prompt sessions. During execution, 4 additional sessions were added to cover compilation of theorems, axiom synthesis pages, HELL migration, and integration testing. Total: 13 sessions.

Originally planned (9):

Session

Purpose

2I-1

Label migration: rename old-style labels (ax1 → pet-ax1, etc.) across all content files

2I-2a

PoR field testing, Part A: fields 1–18 (Identity, Technical, Source-Text groups)

2I-2b

PoR field testing, Part B: fields 19–45 (Operational, Network, Analytical groups) + combined gap analysis

2I-3

Compilation skill definition: SISYF extraction matrix, 4 output modes, stub generation policy

2I-4

First compilation run: expert + easy views for all 25 axioms

2I-5

Adversarial stress-test: 29 attacks across collision, parsing, scalability, human-factors, and contradiction categories

2I-6

Public-facing documentation: 4 audience-specific naming pages (easy, producer, expert, architect) + landing page

2I-7a

Deliverable audit: 46-check systematic review of all Phase 2I outputs

2I-7b

Closing llog and Phase 3 handoff (this session)

Added during execution (4):

Session

Purpose

2I-4b

Theorems compilation: expert + easy views for all 11 theorems

2I-4c

Axiom synthesis pages: tradition-specific views (Hebrew Bible, Gospels & Apostles, Quran-based, Secular)

2I-6 (HELL)

HELL migration: 66 round-based quest labels (33 con + 33 pro) migrated to flat-numbered finding register

Integration

Integration tests: empirical evidence for 6 deferred design questions from AHA Section 17.1

2. Deliverable Audit#

The audit was conducted in Phase 2I-7a on 2026-03-26. Full results are in Phase 2I-7a: Deliverable Audit Checklist.

Result: 45 of 46 checks passed.

The 46 checks covered:

Source Session

Checks

Passed

2I-1 (Migration)

6

6

2I-2 (PoR Field Testing)

4

4

2I-3 (Compilation Skill)

3

3

2I-4 (Axioms Compilation)

6

6

2I-4b (Theorems Compilation)

7

7

2I-4c (Synthesis Pages)

9

8

2I-5 (Stress-Test)

3

3

2I-6 (Public Docs)

6

6

Cross-Cutting

2

2

Total

46

45

Single FAIL — Check 35: secular.rst does not use .. dropdown:: directives. All 25 axioms are present and the page functions correctly, but it uses a flat layout rather than collapsible dropdowns. The other two multi-citation synthesis pages (gospels-apostles.rst, quran-based.rst) correctly use 25 dropdowns each. This is a cosmetic inconsistency, not a functional gap.

3. Key Design Decisions#

3.1 Seven-Dimensional Label Grammar#

{model}-{elementType}{itemNumber}[-{version}][-{depth}][-{view}][-{state}][-{language}]

All dimensions after D1-D2 are optional. Fixed order ensures LL(1) parseability. Hyphens separate dimensions; no hyphens within dimension values.

Dimensions: D1 Model (pet, jub, all), D2 Element (ax, th, lm, etc.), D3 Version (oov2, ppv1), D4 Depth (easy, expert), D5 View/Source (vjud, stor), D6 State (ff, diff, stayc), D7 Language (ISO 639-1).

Full dimension registries are in the AHA design document.

3.2 Knowledge Pipeline: PoE → PoC → PoR → PoT → PoU#

Knowledge flows through 5 stages from raw evidence (PoE: Place of Evidence) through organized chronicles (PoC), synthesized reasoning (PoR: Place of Reasoning), teaching materials (PoT: Place of Translating), to end-user consumption (PoU: Place of Using). Each stage has distinct label patterns.

3.3 DRY Principle#

Compiled views are built-artifacts, not assembled via .. include::. Every formal element has ONE canonical label at its PoR. Downstream pages contain their OWN content with their OWN suffixed labels. This prevents the duplicate-label problem that triggered Phase 2I.

3.4 Collision-Free Proof for D6 Sub-Namespaces#

D6 has three sub-namespaces that are pairwise disjoint by construction:

  • Set A (POST): 2-character double-letter codes (regex ^([a-z])\1$)

  • Set B (Analytical): 3+ character codes, no ma prefix

  • Set C (Machine): ma prefix codes

Length constraints and prefix rules guarantee no collisions.

3.5 Forty-Five PoR Fields in Six Groups#

Each axiom/theorem PoR entry can carry up to 45 metadata fields organized in 6 groups: Identity (fields 1–4), Technical (5–10), Source-Text (11–18), Operational (19–28), Network (29–36), and Analytical (37–45). The field census was tested in Sessions 2I-2a and 2I-2b.

3.6 Extraction Matrix for Audience-Specific Views#

The SISYF compilation skill uses an extraction matrix to select which PoR fields appear in each output mode (expert, easy, producer, machine). This enables a single PoR source to generate multiple audience-appropriate views without content duplication.

3.7 Source (s*) vs. View (v*) Distinction#

D5 codes distinguish between narrow text corpora with chapter+verse structure (source codes: stor, sheb, sgos, etc.) and broad tradition syntheses showing how a worldview interprets the axioms (view codes: vjud, vchr, visl, etc.).

4. Stress-Test Summary#

The adversarial stress-test was conducted in Session 2I-5 on 2026-03-23. Full results are in Phase 2I-5: Adversarial Stress-Test of BEST Names Architecture.

Totals: 29 attacks, 17 HELD, 12 BREACH.

Severity

Count

Key Findings

Critical

1

Attack 1.6: D7/D6 collision analysis incomplete — 5 double-letter ISO 639-1 codes (ee, kk, nn, ss, tt) not acknowledged in the AHA collision table

Major

4

Attack 1.8: quest label r round-number pattern undocumented; Attack 2.2: D6 Set B catch-all absorbs typos; Attack 5.2: live .. include:: violation in axioms/index.rst; Attack 5.3: D7 language suffix conflicts with Sphinx i18n

Minor

6

Unstated 2-letter invariant (1.3); D4/D5 prefix shadow (1.4); bidirectional D1/D2 constraint (1.7); D2 letter-only rule (2.4); no label-testing tooling (4.5); ref overloaded (5.5)

Cosmetic

1

No quick-start guide (4.3)

Overall assessment (from the stress-test report): The architecture is fundamentally well-designed. The 17 HELDs demonstrate that core structural properties (dimension separation, collision freedom, scalability) are solid. The Critical fix is mechanical (add 5 codes to a table). The Major fixes are moderate effort. After these fixes, the architecture provides a solid foundation for a long-lived naming system.

5. Known Limitations#

The following unresolved issues must be addressed in Phase 3. Sources: BREACH items from the stress-test, the single audit FAIL, and design decisions explicitly deferred.

5.1 Unresolved Critical BREACH#

Attack 1.6 — Incomplete D7/D6 collision list. Five double-letter ISO 639-1 codes (ee, kk, nn, ss, tt) are missing from the collision table. Fix: Add all 8 double-letter codes to AHA Section 10; require these languages to use ISO 639-3 forms. Estimated effort: 15 minutes.

5.2 Unresolved Major BREACHes (4)#

  1. Attack 1.8 — Quest label grammar extension needed for the r round-number pattern. Estimated effort: 30 minutes documentation.

  2. Attack 2.2 — D6 Set B must change from structural (any 3+ letter string) to registry-based (closed lookup). Estimated effort: 1 hour.

  3. Attack 5.2 — axioms/index.rst uses .. include:: in violation of the DRY principle. Interim fix: move labels outside included regions. Full fix: replace with compiled content.

  4. Attack 5.3 — D7 language suffix and Sphinx i18n boundary undocumented. Fix: specify when each mechanism applies. Estimated effort: 30 minutes.

5.3 Audit FAIL#

Check 35 — secular.rst uses flat layout instead of .. dropdown:: directives. Cosmetic inconsistency with the other synthesis pages.

5.4 Deferred Design Questions#

Six design questions from AHA Section 17.1 were tested in the integration tests session (2026-03-26). Results are in Phase 2I Integration Tests — Design Questions Requiring Real Data. These provide empirical evidence but some questions remain open pending Phase 3 execution with larger content sets.

5.5 Minor BREACHes (6) and Cosmetic (1)#

Six minor fixes (invariant documentation, prefix restrictions, letter-only rules, tooling, disambiguation) and one cosmetic fix (quick-start guide) are non-blocking but should be addressed in the next design iteration. Full details in the stress-test proposed fixes.

6. Phase 3 Handoff#

6.1 What Phase 3 Needs to Do#

Phase 3 inherits a fully designed, substantially tested naming architecture with all deliverables in place. The immediate work is to apply the stress-test fixes and then use the architecture for content deployment.

6.3 Prompts to Re-Run in Phase 3#

  • prompt_2I-4 (axioms compilation) and prompt_2I-4b (theorems compilation) should be re-run after content updates to regenerate the expert and easy views.

  • prompt_2I-4c (synthesis pages) should be re-run if new axioms are added or existing axiom content changes significantly.

  • prompt_2I-5 (adversarial stress-test) should be re-run after the Critical and Major fixes are applied, to confirm the fixes hold and to test any new attack surfaces introduced by the fixes.

7. StayVS Assessment#

Note

VVN attribution distinction (CRITICAL).

StayVS version numbers (VVNs) are personal assessments by the individual who assigns them. They must NEVER be attributed to someone other than the person who made the assessment.

  • LLoL’s VVN for the AHA design document is iv_LLoL_PPv1r0p0_2026m03d25 (assigned in the AHA document). This is LLoL’s assessment, not Claude’s.

  • Claude’s VVN (advisory, not authoritative) for the BEST Names architecture as delivered by Phase 2I is given below. This is Claude’s independent assessment, offered as input. It does NOT represent LLoL’s assessment.

Claude’s VVN: dv_ClaOp46Max_NNv1r0p0_2026m03d26

StayC maturity code: NN

Justification:

The BEST Names architecture is a well-designed, comprehensive naming system with strong structural properties (collision freedom, LL(1) parseability, orthogonal dimensions). Phase 2I delivered substantially complete results: 45 of 46 audit checks passed, all planned deliverables exist and build correctly, and the public-facing documentation covers four audience levels.

However, per the calibration guide, the maximum maturity code is NN because:

  • 1 Critical stress-test BREACH is unresolved (Attack 1.6: incomplete D7/D6 collision list). The fix is mechanical and documented, but it has not been applied.

  • 4 Major BREACHes are unresolved. All have proposed fixes documented in the stress-test report, but none have been applied.

The NN assessment reflects a system that is architecturally sound but has not yet had its known issues resolved. Once the Critical and Major fixes are applied and re-tested, the architecture could advance to OO (all critical resolved, major BREACHes addressed). QQ and beyond require Phase 3 execution and independent testing.

8. Build Report (from 2I-7a Audit)#

Total warnings: 315
Phase 2I-specific warnings: 8 (all orphan-document, all expected)
Warnings from content deliverables: 0
Build status: Succeeded

9. Label Statistics (from 2I-7a Audit)#

  • Axiom labels: 25 (14 pet-ax in pet/axioms.rst + 11 jub-ax in jub/axioms.rst)

  • Theorem labels: 11 (4 pet-th in pet/theorems.rst + 7 jub-th in jub/theorems.rst)

  • Compiled-view labels: 4 (all-ax, all-ax-easy, all-th, all-th-easy)

  • Synthesis-page labels: 3 (all-ax-easy-gospels-apostles, all-ax-easy-quran-based, all-ax-easy-secular)

  • Total .. _ patterns across all matheology files: 458 (across 151 files, includes documentation references)

Phase 2I is now CLOSED.