Phase 2I Integration Tests — Design Questions Requiring Real Data#

Note

Session date: 2026-03-26

Agent: Claude Opus 4.6

Prompt source: source/matheology/vv/jub/oov2/prompts/prompt_2I-integration-tests.rst

Purpose: Gather empirical evidence for the open design questions listed in AHA Section 17.1 (compiler/space/ww/5d-link-naming-matheology-aha.rst). All 6 tests are read-only analysis; no files were modified.

VVN: dv_Claude_OOv2r0p0_2026m03d26

AHA reference: Section 17.1 “Awaiting Integration Data” lists 5 deferred questions. This session tests all 5 plus cross-model HELL classification (Test 6), which emerged naturally from the data.

Verbatim Prompt#

Phase 2I Integration Tests — Design Questions Requiring Real Data

Note

Test prompt for deferred design decisions. This prompt should be run AFTER the Phase 2I integration scripts have processed real content. Its purpose is to gather empirical evidence for open design questions that cannot be resolved by analysis alone.

Context: The AHA doc (BEST Names architecture, Section 19.2) identifies several design questions deliberately deferred until real-world data is available. This prompt systematically tests each one.

Prerequisite: Phase 2I scripts (content integration, compilation) must have run at least once, producing compiled pages with real cross-references.

Safety: This is a read-only analysis prompt. It does not modify any files. Results should be appended to an llog entry.

[Full prompt text: 6 tests covering BREACH 1.7 D1/D2 validity, sub-element chaining, alignment class echoes, dump depth usage, PoR field #40 collision, and cross-model HELL objections. See prompts/prompt_2I-integration-tests.rst for the complete verbatim text.]

TEST 1 — BREACH 1.7: D1/D2 Validity (Cross-Model Element Types)#

1.0 D1/D2 Matrix#

D2 type

pet

jub

4be

all

ax

Y (14: ax1–ax14)

Y (11: ax15–ax25)

N

Y (6 labels)

th

Y (4: th1–th4)

Y (7: th5–th11)

N

Y (2 labels)

con

N

Y (62: con1–con43 + rounds)

N

N

pro

N

Y (62: pro1–pro43 + rounds)

N

N

q (quest)

N

N (no jub-q* label; quest.rst exists but uses con/pro labels)

N

N

sym

N (symbols.rst exists but no pet-sym* labels)

N (symbols.rst exists but no jub-sym* labels)

N

N

dis

N (discussions.rst exists, no pet-dis* labels)

N

N

N

his

N (history.rst exists, no labels)

N (history.rst exists, no labels)

N

N

ov

N (overview.rst exists, no labels)

N (overview.rst exists, no labels)

N

N

td (theodicy)

N (theodicy.rst exists, no pet-td* labels)

N (theodicy.rst exists, theodicy-crossref-table not D1-prefixed)

N

N

any (AnyAims)

N (anyaims.rst exists, no labels)

N (anyaims.rst exists, no labels)

N

N

Key: Y = exists with content (count in parentheses). N = not present. No empty stubs (E) found.

1a. Are there pet-con or pet-pro labels?#

No. Zero pet-con* or pet-pro* labels exist anywhere in the codebase. PET model currently has only ax (axioms) and th (theorems) as D2 element types with defined labels.

1b. D2 types used by only one model#

Yes. Both con and pro are used exclusively by the jub model. This restriction appears structural, not accidental: the disputatio (quest) structure is a specific feature of the Jubilee model’s adversarial review process. PET has no analogous adversarial critique framework.

However, several PET content pages exist (symbols.rst, discussions.rst, history.rst, overview.rst, theodicy.rst, anyaims.rst) that lack BEST-Names labels entirely. These represent unlabeled content, not missing element types.

1c. Should PET have a disputatio?#

Evidence-based assessment:

  • PET axioms ax1_A1–ax14_A14 are foundational and shared across models. They have undergone adversarial review within the Jubilee quest context (e.g., Con-E.10 / jub-con20 targets ax1_A1–ax4_A4 mereological framework; Con-D.6 / jub-con16 targets Piketty evidence base).

  • 2 of 33 HELL contentions are PET-applicable (6%), 9 are cross-model (27%). These objections already exist under jub-con* labels.

  • Creating pet-con* labels would either duplicate existing Jub contentions or require new adversarial review specifically targeting PET in isolation.

Recommendation: Do not create a PET disputatio now. The PET axioms are already stress-tested through the Jub quest. If a future reviewer specifically targets PET axioms in isolation (e.g., “ax1_A1–ax14_A14 without Jubilee extensions”), that review would warrant pet-con* labels. Until then, cross-reference the relevant jub-con* entries.

1d. Enforce D1/D2 validity or leave permissive?#

Recommendation: Leave the grammar syntactically permissive; use the registry linter for semantic warnings.

Rationale:

  1. The grammar already parses pet-con1 without error. Making it a parse-time error would require maintaining a validity matrix in the parser itself — fragile and model-dependent.

  2. The linter is the natural place for semantic checks (“Warning: pet-con1 is syntactically valid but no PET disputatio exists”).

  3. New models (4be, future) may introduce D2 types not yet foreseen. A permissive grammar accommodates this without parser changes.

  4. Evidence strength: strong. The matrix shows clear model-specific patterns but no violations or accidents that enforcement would have prevented.

TEST 2 — Sub-Element Chaining#

2a. Cases of natural chaining found#

Zero implemented chaining labels exist in content files. All current labels follow the single-field pattern (D1-D2N or D1-D2N-field).

However, 5 elements were identified in Phase 2I-4 analysis (compiler/sisyf/ee/d2-chaining-evidence.rst) as having natural multi-type demand:

Element

Natural chain

Depth

Single-field OK?

Notes

ax19_A19

ax-logic-limit

3

No

“Limitation specific to logic framework” loses meaning at depth 1

ax11_A11

ax-logic

2

Possibly

Fork analysis could be separate note

ax14_A14

ax-logic

2

Possibly

Predicate distinction documentable under ax alone

ax24_A24

ax-limit

2

Possibly

Formal semantics gap fits under general limit

th8_T8

th-logic-limit

3

No

Three distinct concepts: theorem, CTMC logic, falsification limit

2b. Single-field expressibility#

  • 2 of 5 cases genuinely need depth > 2 (ax19_A19, th8_T8). In both cases, the inner field qualifies the outer field in a way that loses meaning when flattened.

  • 3 of 5 cases can be expressed with depth = 2 (ax11_A11, ax14_A14, ax24_A24). The second field is sufficient; the third adds specificity but not information that cannot be captured in prose.

2c. Recommendation#

Keep single-field (depth = 2) as default. Do not raise the limit.

Rationale:

  1. Zero chained labels exist in actual content. The demand is theoretical.

  2. Only 2 of 5 identified cases genuinely need depth 3 (< 6% of the 25+11 element set).

  3. The override mechanism (.. best-depth:: 3 directive) already exists for rare cases.

  4. Evidence strength: weak. Insufficient real-world usage to justify raising the default. Revisit after Phase 3 compilation produces actual chained labels.

TEST 3 — Alignment Class Echoes#

3a. Echoes found#

4 confirmed structural echoes between PET and JUB axioms:

PET

JUB

Shared concept

Relationship

ax1_A1 (Containment)

ax16_A16 (Delegation)

God-world structure

ax1_A1 defines containment; ax16_A16 specifies human authority within it

ax5_A5 (Necessary Existence)

ax15_A15 (Genuine Agency)

Load-bearing necessity

Both are foundational axioms; mirror structural role

ax8_A8 (Immanent Presence)

ax17_A17 (Non-Coercive Guidance)

Divine-creation relationality

ax8_A8 is structural; ax17_A17 is behavioral specification of ax8_A8

ax11_A11 (Dipolarity)

ax22_A22 (Divine Preference)

Divine nature

ax11_A11 defines structure; ax22_A22 explains motivation within it

Zero theorem echoes found. PET theorems (th1_T1–th4_T4) and JUB theorems (th5_T5–th11_T11) address distinct domains. The relationship is vertical (PET axioms ground JUB theorems), not horizontal (same theorem in different models).

3b. Clustering#

The 4 echoes do not cluster around specific numbers. The offsets from PET to JUB are: +15 (ax1_A1-ax16_A16), +10 (ax5_A5-ax15_A15), +9 (ax8_A8-ax17_A17), +11 (ax11_A11-ax22_A22). The similar offsets (9–15) reflect the systematic numbering gap (PET has 14 axioms, JUB starts at 15), not a natural alignment class size.

3c. Cross-model language in prose#

No “echo,” “alignment,” “parallel,” or “correspondence” language appears in the main axiom/theorem content files. All echo identification exists only in compiler and integration-findings documentation (compiler/sisyf/ee/alignment-class-echoes.rst and vv/jub/oov2/llog/integration-findings/alignment-class-echoes.rst).

3d. Recommendation#

The alignment class mechanism is warranted but not yet actionable.

The 4 confirmed echoes form a coherent pattern (PET establishes structure; JUB specifies behavior/motivation). all4e is the natural alignment class size for PET-JUB pairs.

However:

  1. No metadata declarations exist yet (no registration of which models belong to which class).

  2. Only two models tested (PET, JUB). Third model data needed before committing class boundaries.

  3. The integration-findings summary is incomplete.

Next steps: Declare PET-JUB as all4e members in the D1 registry. Keep all5e, all7e, all12e reserved. Wait for third model before assigning.

Evidence strength: strong for the existence of echoes; weak for the specific class size (only 2 models to compare).

TEST 4 — dump Depth Usage#

4a. Proto-dump pages#

No pages currently aggregate all sub-element fields for a single element. The closest are:

  • pet/axioms.rst and jub/axioms.rst: contain formal statement, plain-English reading, explanation, and scriptural support for each axiom — but organized by section, not by PoR field structure.

  • pet/theorems.rst and jub/theorems.rst: same pattern for theorems.

  • The SISYF expert depth (sisyf-guide.rst line 46) is specified to show “All 32 non-stub fields copied verbatim from PoR” — but no expert-depth compiled pages exist yet.

The existing PoR source pages are proto-expert, not proto-dump. They contain most content fields but omit operational, network, and analytical fields entirely.

4b. TODOs requesting dump/debug pages#

None found. No TODO comments in any .rst file request dump, debug, or “show everything” views. The only references to dump are in architecture documents (AHA Section 7, SISYF guide) where it is defined prospectively.

4c. Recommendation#

``dump`` is a theoretical convenience. Keep registered but defer implementation.

Rationale:

  1. Expert depth already shows 32/45 fields. dump would add the remaining 13 stub fields — which are currently empty.

  2. No user or author has requested a dump view.

  3. Until the compilation skill is running and fields are actually populated, dump adds no value beyond expert.

  4. The dump D4 code is correctly registered in the AHA architecture and costs nothing to maintain.

Evidence strength: none. No demand exists in current content. The registration is forward-looking and harmless.

TEST 5 — PoR Field #40 Name Collision#

5a. Usage counts#

  • “model” as D2 element type: 0 instances. No label of the form pet-model1 or jub-model* exists in any content file.

  • “model” as PoR field name (field #40, “ModelUsedIn”): 38 references across architecture docs, SISYF stubs, and integration findings.

  • Hypothetical examples (pet-model1 in documentation): 6 instances, all in AHA docs and integration testing prompts.

5b. Actual ambiguity#

No actual ambiguity exists in current content. The collision is purely theoretical:

  1. Grammar-level: No collision. model is not a D2 type ID; it appears only in D1 position (as the dimension name, not a code). The hyphen separator prevents parse conflicts.

  2. Field-level: Minor conceptual overlap. Field #40 is named model (brief) / ModelUsedIn (full). Context always clarifies.

  3. In practice: Zero ambiguities encountered during Phase 2I-4 compilation.

  4. Registry discipline: Existing rules prevent any new D2 type from equaling a D1 model code.

5c. Recommendation#

No action needed. Leave field #40 as-is.

The collision is semantic (D1 and field #40 both answer “which model?”), not syntactic. They serve the same concept from different angles:

  • D1 appears in labels (pet-ax5).

  • Field #40 appears in PoR content (**ModelUsedIn (model):** Pet).

The two never compete in the same context. Renaming to usedby or inmodel would add complexity without preventing any real conflict.

Evidence strength: strong. Comprehensive search confirms zero collisions in 309 .rst files.

TEST 6 — Cross-Model Objections in HELL#

All 33 contentions in hell/con/b/{11..43}/index.rst were read and classified.

6a. Jub-only objections#

22 of 33 (67%) target specifically and exclusively Jubilee axioms (ax15_A15–ax25_A25), theorems (th5_T5–th11_T11), or ResearchCity institutional design.

Examples: Con-A.1 (th8_T8 not theorem), Con-C.4 (Jubilee specificity gap), Con-E.11 (Jubilee never implemented), Con-C.3.1–C.3.3 (ResearchCity megaproject/Hayek/power), Con-D.3.4 (bootstrapping paradox).

6b. PET-applicable objections#

2 of 33 (6%) are filed under Jub but apply to the PET foundation:

  1. Con-D.6 (jub-con16): Piketty’s r > g contested — targets the empirical evidence base shared by PET and Jub.

  2. Con-E.10 (jub-con20): Mereological framework limits — explicitly targets ax1_A1–ax4_A4 (PET axioms), critiquing CEM foundations.

6c. Cross-model objections#

9 of 33 (27%) apply to the shared foundation rather than any specific model:

  1. Con-C.2.3 (jub-con27): Michaelis-Menten credibility (N=1 epistemology).

  2. Con-C.2.4 (jub-con28): Fitness analogy breaks (ax19_A19 causal influence).

  3. Con-C.2.5 (jub-con29): 7TrackRole is taxonomy (shared social structure).

  4. Con-C.2.6 (jub-con30): Voluntariness paradox (ax15_A15–ax17_A17 shared axioms, game-theoretic barrier).

  5. Con-D.2.7 (jub-con31): Garbage-collection analogy (Lucas critique applies to any announced policy).

  6. Con-D.2.8 (jub-con32): Pinnacle argument undermines (formal vs. intuitive rigor, meta-framework).

  7. Con-D.2.9 (jub-con33): Domain demarcation fails (D_f/D_free/D_inno partition is foundational).

  8. Con-D.3.5 (jub-con41): Single-paradigm risk (ax24_A24 “Extensible” shared concern).

  9. Con-E.3.6 (jub-con42): Game-theoretic barriers to diplomacy (Schelling/Fearon, model-independent).

6d. Recommendation#

Keep ``jub-con*`` labels with explicit cross-reference markers. Do not create ``all-con*`` labels.

Rationale:

  1. 22/33 (67%) are genuinely Jub-specific. Creating a parallel all-con* structure for the remaining 11 would duplicate content and create maintenance burden.

  2. The 9 cross-model entries already document their internal network relationships through explicit reference links.

  3. The 2 PET-applicable entries should receive callout notes flagging their scope (e.g., “[SHARED — applies to PET ax1_A1–ax4_A4]”) but remain under jub-con*.

  4. When a future PET disputatio is created, it should reference these shared contentions, not duplicate them.

Evidence strength: strong. All 33 entries classified with clear rationale.

Summary#

Test

Question

Evidence strength

Recommendation

1

D1/D2 validity constraints

Strong

Permissive. Leave grammar open; use registry linter for semantic warnings. No PET disputatio needed now.

2

Sub-element chaining depth

Weak

Single-field (depth=2). Only 2/5 cases need depth 3; override directive exists. Revisit Phase 3.

3

Alignment class echoes

Strong (echoes) / Weak (class size)

Warranted. 4 confirmed PET-JUB echoes. Declare all4e; reserve others. Wait for third model.

4

dump depth usage

None

Defer. No demand in current content. Expert covers 32/45 fields. Keep dump registered but unimplemented.

5

PoR field #40 “model” collision

Strong

No action. Zero actual collisions in 309 files. Semantic overlap is acceptable; registry discipline prevents conflict.

6

Cross-model HELL objections

Strong

Keep ``jub-con*`` with callouts. 67% Jub-only, 27% cross-model, 6% PET-applicable. Add scope markers; do not create all-con* labels.

Disposition#

All 5 deferred questions from AHA Section 17.1 are now informed by empirical data. Three questions (Tests 1, 5, 6) have strong evidence supporting clear recommendations. Two questions (Tests 2, 4) have weak or no evidence and should remain deferred until Phase 3 compilation produces real-world usage data. Test 3 (alignment classes) has strong evidence for the mechanism but weak evidence for class sizing.

Action items for Phase 3:

  1. Implement registry linter with D1/D2 semantic warnings (Test 1).

  2. Track chaining depth during first large-scale compilation (Test 2).

  3. Declare PET-JUB all4e alignment in D1 registry (Test 3).

  4. Monitor demand for dump depth during compilation (Test 4).

  5. Add scope markers (“[SHARED]”) to cross-model jub-con* entries (Test 6).

TELES migration report (2026m04d04)

Mechanical identifier migration applied to this file. All axiom/theorem text references were migrated from short form (e.g., A15) to compound form (e.g., ax15_A15) as part of the matheology compound naming operation. Both forms refer to the same formal object. The old form survives as the suffix to ensure consistency with the oldest records; the new form adds a temporary-status prefix. Forward-facing pages use brief form (ax15) only. See TELES Axiom/Theorem Compound Naming — Execution Prompt for the complete mapping table and DD b12 — Legacy Naming for PET/JUB Axioms and Theorems for the permanent reference.