Phase 2I-2: PoR Field Testing Report#

Generated in two sessions by Claude Opus 4.6:

  • Part A (fields 1–18): 2026-03-25

  • Part B (fields 19–45) and combined report: 2026-03-25

VVN: dv_ClaudeOpus4.6_OOv2r0p0_2026m03d25

Source files assessed:

  • source/matheology/pet/axioms.rst — PoR for ax1_A1–ax14_A14

  • source/matheology/jub/axioms.rst — PoR for ax15_A15–ax25_A25

  • source/matheology/jub/theorems.rst — PoR for th5_T5–th11_T11

  • source/matheology/jub/quest.rst — selective (con/pro labels, citations)

  • source/matheology/vv/jub/oov2/llog/aha-best-names-for-matheology-links.rst — AHA field definitions

  • source/matheology/vv/jub/oov2/llog/2G-stress-test-math.rst — mathematical rigor stress-test

  • source/matheology/vv/jub/oov2/llog/2G-stress-test-feasibility.rst — feasibility stress-test

  • source/matheology/vv/jub/oov2/llog/2G-stress-test-dispositions.rst — disposition audit

  • source/matheology/vv/jub/oov2/llog/llog_2026m03d22_restructuring-2F-critique3-c3-1-c3-7.rst — C3.1–C3.7 integration

  • source/matheology/vv/jub/oov2/llog/llog_2026m03d22_restructuring-2G-2H-stress-tests-summary-freeze.rst — StayVS assessments

Note on element count: This report covers 32 formal elements (ax1_A1–ax25_A25, th5_T5–th11_T11), matching Part A. th1_T1–th4_T4 (PET theorems) are outside the scope of this assessment.

Phase 2I-2b: PoR Field Testing — Operational, Network, Analytical

Note

200K-token execution prompt. Copy-paste everything below the horizontal rule into a new Claude Code session.

Prerequisite: Phase 2I-2a must have completed and written its partial report to source/matheology/vv/jub/oov2/llog/2I-por-field-testing-part-a.rst

Token budget: ~100K. Reads the stress-test and critique files (which contain the operational/analytical evidence) plus the Part A report. Does NOT re-read the full PoR source files.

----

/clear
/compact
/effort max

You are executing Phase 2I-2b of the JUB OOv2 matheology project:
**PoR field testing, Part B.** This session tests fields
19--45 (Operational State, Network & Versioning, Analytical)
against the stress-test output, critique integration, and quest
structure.

This session does NO migration or code changes. It reads, analyses,
and produces the COMBINED final testing report.


====================================================================
STEP 0 --- READ ALL REQUIRED FILES (DO THIS FIRST)
====================================================================

  ax1_A1. AHA DESIGN DOC (field definitions, Section 11) --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/aha-best-names-for-matheology-links.rst

  ax2_A2. PART A REPORT (fields 1--18 already tested) --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/2I-por-field-testing-part-a.rst

  ax3_A3. STRESS-TEST MATH --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/2G-stress-test-math.rst

  ax4_A4. STRESS-TEST FEASIBILITY --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/2G-stress-test-feasibility.rst

  ax5_A5. STRESS-TEST DISPOSITIONS --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/2G-stress-test-dispositions.rst

  ax6_A6. CRITIQUE INTEGRATION (C3.1--C3.7) --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/llog_2026m03d22_restructuring-2F-critique3-c3-1-c3-7.rst

  ax7_A7. JUB QUEST (for con/pro references and network) --- SELECTIVE:
  source/matheology/jub/quest.rst
  Use grep to find all ``.. _con-`` and ``.. _pro-`` labels and
  any ``:ref:`` cross-references between elements. Read 5-line
  context around each. Do NOT read the full file (~48K tokens).

  ax8_A8. 2G-2H SUMMARY (for StayVS assessments) --- READ IN FULL:
  source/matheology/vv/jub/oov2/llog/llog_2026m03d22_restructuring-2G-2H-stress-tests-summary-freeze.rst


====================================================================
STEP 1 --- BUILD COVERAGE MATRIX: FIELDS 19--45
====================================================================

For EACH axiom (ax1_A1--ax25_A25) and EACH theorem (th5_T5--th11_T11), assess
coverage for fields 19--45:

**Group 4: Operational State (fields 19--29)**

19. ``limit`` --- known limitations, assumptions
20. ``jj`` --- current blocker for this element
21. ``aa`` --- next steps, tasks
22. ``kk`` --- identified trap and avoidance
23. ``ff`` --- collected feedback to process
24. ``cc`` --- background reading from others
25. ``dd`` --- architectural decision for this element
26. ``gg`` --- promising draft not yet integrated
27. ``hh`` --- recently deprecated content
28. ``ww`` --- what would break if this changed
29. ``yy`` --- test case for reliability checking

**Group 5: Network & Versioning (fields 30--40)**

30. ``netout`` --- upstream dependencies (builds on)
31. ``netin`` --- downstream dependents (used by)
32. ``stayc`` --- StayVS maturity code
33. ``mento`` --- stage-appropriate learning guidance
34. ``diff`` --- what changed from prior versions
35. ``ll`` --- links to relevant llog sessions
36. ``con`` --- objection addressing this element
37. ``pro`` --- response defending this element
38. ``vv`` --- all VVNs for this element
39. ``vvnow`` --- pointer to latest version
40. ``model`` --- which model(s) use this element

**Group 6: Analytical (fields 41--45)**

41. ``conv`` --- where traditions agree/diverge
42. ``bib`` --- academic references
43. ``pol`` --- known active policy discussions
44. ``his`` --- historical analysis
45. ``doi`` --- permanent stable identifier

Use the same scoring: F/P/S/N.


====================================================================
STEP 2 --- NETWORK GRAPH EXTRACTION
====================================================================

For fields 30--31 (netout/netin), build the actual dependency
graph by reading the PoR content and stress-test analysis:

1. For each axiom, list which other axioms it depends on (netout)
   and which theorems/axioms depend on it (netin).
2. Every edge must be justified with a specific reason (e.g.,
   "th1_T1 depends on ax5_A5 because the proof invokes ax5_A5's containment
   property").
3. List any edges that are uncertain or disputed.
4. Note any missing edges (elements that appear isolated but
   probably should not be).


====================================================================
STEP 3 --- COMBINED GAP ANALYSIS
====================================================================

Merge the Part A findings with your Part B findings:

1. **Critical gaps:** Fields rated "Stub" for >50% of elements
   (across all 45 fields)
2. **Quick wins:** Fields rated "Partial" that could become "Full"
   with targeted work
3. **Source-text gaps by tradition** (from Part A)
4. **Network completeness** (from Step 2)
5. **StayVS coverage:** Do the 2G-2H assessments cover all 32
   elements?
6. **Operational field patterns:** Are the POST fields (jj, aa,
   kk, etc.) populated from the stress-test outputs, or are they
   systemically empty?


====================================================================
STEP 4 --- EXTRACTION DIFFICULTY (ALL 45 FIELDS)
====================================================================

Combine Part A's difficulty ratings (fields 1--18) with your
ratings for fields 19--45. Present the full 45-row table:
field, difficulty, source files, notes.


====================================================================
STEP 5 --- WRITE COMBINED FINAL REPORT
====================================================================

Create the FINAL combined report at:
source/matheology/vv/jub/oov2/llog/2I-por-field-testing.rst

Contents:

1. Title: "Phase 2I-2: PoR Field Testing Report"
2. Generated-by line (note: produced in two sessions, 2I-2a + 2I-2b)
3. **Complete coverage matrix** (all 32 elements |times| all 45 fields)
   --- merge Part A's fields 1--18 with your fields 19--45
4. Gap analysis (6 sections from Step 3)
5. Network dependency graph (from Step 2)
6. Complete extraction difficulty table (all 45 fields)
7. Recommendations for Phase 3 priority ordering
8. Any proposed changes to the 45-field structure

Then REMOVE the partial Part A file:
Rename ``2I-por-field-testing-part-a.rst`` to
``deprecated/2I-por-field-testing-part-a.rst`` (do not delete).


====================================================================
STEP 6 --- UPDATE LLOG INDEX
====================================================================

Add the final report to the toctree in:
source/matheology/vv/jub/oov2/llog/index.rst

Under the "Phase 2I: Post-Processing" section.


====================================================================
CRITICAL RULES
====================================================================

1. llog files are APPEND-ONLY.
2. NEVER delete content files. Move to deprecated/ instead.
3. This session READS and ANALYSES only. The files you CREATE are
   the final report (and deprecated move of Part A).
4. The combined report must be ONE file containing the complete
   matrix. Do not leave it split across two files.
5. NEVER abbreviate prompts in llogs.
6. LANGUAGE RULES:
   a. NEVER use bare "Jubilee" as standalone noun.
   b. NEVER use "the" for unproven superlatives.

1. Complete Coverage Matrix — All 32 Elements × 45 Fields#

Legend: F = Full (extractable as-is) / P = Partial (exists, needs expansion) / S = Stub (heading only, content empty) / N = N/A

1.1 Group 1–3: Identity, Technical, Sources (fields 1–18)#

Carried forward from Part A (Phase 2I-2a).

Field key: 1=id, 2=title, 3=name, 4=sum, 5=intro, 6=latex, 7=tctx, 8=tcnt, 9=logic, 10=twhy, 11=tinf, 12=stor, 13=sheb, 14=sgos, 15=sapo, 16=squr, 17=ssan, 18=vsec

Elem | 1  2  3  4  5  6 | 7  8  9 10 11 | 12 13 14 15 16 17 18
-----+-------------------+---------------+----------------------
ax1_A1   | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax2_A2   | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax3_A3   | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax4_A4   | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax5_A5   | P  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax6_A6   | P  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax7_A7   | P  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax8_A8   | P  F  P  F  F  F | P  P  P  P  F | F  F  F  F  F  F  F
ax9_A9   | P  F  P  F  F  F | P  P  P  P  F | F  F  F  F  F  F  F
ax10_A10  | P  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax11_A11  | P  F  P  F  F  F | F  F  P  P  F | F  F  F  F  F  F  F
ax12_A12  | P  F  P  F  F  F | P  P  P  P  F | F  F  F  F  F  F  F
ax13_A13  | P  F  P  F  F  F | P  P  P  P  F | F  F  F  F  F  F  F
ax14_A14  | P  F  P  F  F  F | F  F  P  P  F | F  F  F  F  F  F  F
-----+-------------------+---------------+----------------------
ax15_A15  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax16_A16  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax17_A17  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax18_A18  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax19_A19  | F  F  P  F  F  F | F  F  P  P  F | F  F  F  F  F  F  F
ax20_A20  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax21_A21  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax22_A22  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax23_A23  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax24_A24  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
ax25_A25  | F  F  P  F  F  F | F  P  P  P  F | F  F  F  F  F  F  F
-----+-------------------+---------------+----------------------
th5_T5   | F  F  P  F  F  P | P  P  S  F  F | S  S  S  S  S  S  S
th6_T6   | F  F  P  F  F  F | P  P  S  F  F | S  S  S  S  S  S  S
th7_T7   | F  F  P  F  F  P | P  P  S  F  F | P  P  P  P  S  S  P
th8_T8   | F  F  P  F  F  F | F  F  S  F  F | S  S  S  S  S  S  P
th9_T9   | F  F  P  F  F  P | P  F  S  F  F | S  S  P  P  S  S  P
th10_T10  | F  F  P  F  F  P | P  P  S  F  F | S  S  S  S  S  S  S
th11_T11  | F  F  P  F  F  P | P  P  S  F  F | S  S  S  S  S  S  S

1.2 Group 4: Operational State (fields 19–29)#

Field key: 19=limit, 20=jj, 21=aa, 22=kk, 23=ff, 24=cc, 25=dd, 26=gg, 27=hh, 28=ww, 29=yy

Elem | 19 20 21 22 23 24 25 26 27 28 29
-----+-----------------------------------
ax1_A1   | P  S  S  P  S  P  S  S  S  P  S
ax2_A2   | P  S  S  P  S  P  S  S  S  P  S
ax3_A3   | P  S  S  P  S  P  S  S  S  P  S
ax4_A4   | P  S  S  P  S  P  S  S  S  P  S
ax5_A5   | P  S  S  S  S  P  S  S  S  S  S
ax6_A6   | P  S  S  S  S  P  S  S  S  S  S
ax7_A7   | P  S  S  S  S  P  S  S  S  S  S
ax8_A8   | P  S  S  S  S  P  S  S  S  P  S
ax9_A9   | P  S  S  S  S  P  S  S  S  P  S
ax10_A10  | P  S  S  S  S  P  S  S  S  S  S
ax11_A11  | P  S  S  S  S  P  P  S  S  P  S
ax12_A12  | S  S  S  S  S  P  S  S  S  S  S
ax13_A13  | S  S  S  S  S  P  S  S  S  S  S
ax14_A14  | P  S  S  S  S  P  P  S  S  S  S
-----+-----------------------------------
ax15_A15  | P  S  S  P  S  P  S  S  S  P  S
ax16_A16  | S  S  S  P  S  P  S  S  S  S  S
ax17_A17  | S  S  S  P  S  P  S  S  S  S  S
ax18_A18  | P  S  S  S  S  P  P  S  S  S  S
ax19_A19  | F  P  P  P  S  P  P  S  S  P  P
ax20_A20  | S  S  S  S  S  P  S  S  S  S  S
ax21_A21  | S  S  S  S  S  P  S  S  S  S  S
ax22_A22  | S  S  S  P  S  P  S  S  S  S  S
ax23_A23  | S  S  S  P  S  P  S  S  S  S  S
ax24_A24  | P  S  S  P  S  P  P  S  S  S  S
ax25_A25  | P  P  P  P  S  P  P  S  P  P  P
-----+-----------------------------------
th5_T5   | P  P  P  P  S  S  S  S  S  S  P
th6_T6   | S  S  P  P  S  S  S  S  S  S  S
th7_T7   | S  S  P  P  S  S  S  S  S  S  S
th8_T8   | P  P  P  P  S  P  P  P  S  P  P
th9_T9   | P  P  P  P  S  P  S  P  S  S  P
th10_T10  | S  S  P  P  S  S  S  S  S  S  S
th11_T11  | P  S  P  P  S  S  S  S  S  P  S

1.3 Group 5: Network & Versioning (fields 30–40)#

Field key: 30=needs, 31=feeds, 32=stayc, 33=mento, 34=diff, 35=ll, 36=con, 37=pro, 38=vv, 39=vvnow, 40=model

Elem | 30 31 32 33 34 35 36 37 38 39 40
-----+-----------------------------------
ax1_A1   | P  P  P  S  S  P  P  P  P  P  F
ax2_A2   | P  P  P  S  S  P  P  P  P  P  F
ax3_A3   | P  P  P  S  S  P  P  P  P  P  F
ax4_A4   | P  P  P  S  S  P  P  P  P  P  F
ax5_A5   | P  P  P  S  S  P  S  S  P  P  F
ax6_A6   | P  P  P  S  S  P  S  S  P  P  F
ax7_A7   | P  P  P  S  S  P  S  S  P  P  F
ax8_A8   | P  P  P  S  S  P  S  S  P  P  F
ax9_A9   | P  P  P  S  S  P  S  S  P  P  F
ax10_A10  | P  P  P  S  S  P  S  S  P  P  F
ax11_A11  | P  P  P  S  S  P  S  S  P  P  F
ax12_A12  | P  P  P  S  S  P  S  S  P  P  F
ax13_A13  | P  P  P  S  S  P  S  S  P  P  F
ax14_A14  | P  P  P  S  S  P  S  S  P  P  F
-----+-----------------------------------
ax15_A15  | P  P  P  S  S  P  F  F  P  P  F
ax16_A16  | P  P  P  S  S  P  P  P  P  P  F
ax17_A17  | P  P  P  S  S  P  P  P  P  P  F
ax18_A18  | P  P  P  S  S  P  S  S  P  P  F
ax19_A19  | P  P  P  S  S  P  F  F  P  P  F
ax20_A20  | P  P  P  S  S  P  S  S  P  P  F
ax21_A21  | P  P  P  S  S  P  S  S  P  P  F
ax22_A22  | P  P  P  S  S  P  P  P  P  P  F
ax23_A23  | P  P  P  S  S  P  P  P  P  P  F
ax24_A24  | P  P  P  S  S  P  P  P  P  P  F
ax25_A25  | P  P  P  S  S  P  F  F  P  P  F
-----+-----------------------------------
th5_T5   | F  P  P  S  S  P  F  F  P  P  F
th6_T6   | F  P  P  S  S  P  P  P  P  P  F
th7_T7   | F  P  P  S  S  P  P  P  P  P  F
th8_T8   | F  P  P  S  S  P  F  F  P  P  F
th9_T9   | F  P  P  S  S  P  F  F  P  P  F
th10_T10  | F  P  P  S  S  P  P  P  P  P  F
th11_T11  | F  P  P  S  S  P  P  P  P  P  F

1.4 Group 6: Analytical (fields 41–45)#

Field key: 41=conv, 42=bib, 43=pol, 44=his, 45=doi

Elem | 41 42 43 44 45
-----+----------------
ax1_A1   | P  P  S  P  S
ax2_A2   | P  P  S  P  S
ax3_A3   | P  P  S  S  S
ax4_A4   | P  P  S  S  S
ax5_A5   | P  P  S  S  S
ax6_A6   | P  P  S  S  S
ax7_A7   | P  P  S  S  S
ax8_A8   | P  P  S  S  S
ax9_A9   | P  P  S  S  S
ax10_A10  | P  P  S  S  S
ax11_A11  | P  P  S  P  S
ax12_A12  | P  P  S  S  S
ax13_A13  | P  P  S  S  S
ax14_A14  | P  P  S  P  S
-----+----------------
ax15_A15  | P  P  S  S  S
ax16_A16  | P  P  S  S  S
ax17_A17  | P  P  S  S  S
ax18_A18  | P  P  S  S  S
ax19_A19  | P  P  S  S  S
ax20_A20  | P  P  S  S  S
ax21_A21  | P  P  S  S  S
ax22_A22  | P  P  S  S  S
ax23_A23  | P  P  S  S  S
ax24_A24  | P  P  S  S  S
ax25_A25  | P  P  P  P  S
-----+----------------
th5_T5   | S  S  S  S  S
th6_T6   | S  S  S  S  S
th7_T7   | S  P  S  S  S
th8_T8   | S  P  P  P  S
th9_T9   | S  P  S  S  S
th10_T10  | S  S  S  S  S
th11_T11  | S  S  S  S  S

1.5 Summary Statistics — All 45 Fields#

Field       F    P    S    N    %Full   Group
------     ---  ---  ---  ---  -----   -----
 1 id       22   10    0    0   69%    Identity
 2 title    32    0    0    0  100%    Identity
 3 name      0   32    0    0    0%    Identity
 4 sum      32    0    0    0  100%    Identity
 5 intro    32    0    0    0  100%    Identity
 6 latex    27    5    0    0   84%    Identity
 7 tctx     22   10    0    0   69%    Technical
 8 tcnt      5   27    0    0   16%    Technical
 9 logic     0   25    7    0    0%    Technical
10 twhy      7   25    0    0   22%    Technical
11 tinf     32    0    0    0  100%    Technical
12 stor     25    1    6    0   78%    Sources
13 sheb     25    1    6    0   78%    Sources
14 sgos     25    2    5    0   78%    Sources
15 sapo     25    2    5    0   78%    Sources
16 squr     25    0    7    0   78%    Sources
17 ssan     25    0    7    0   78%    Sources
18 vsec     25    3    4    0   78%    Sources
---
19 limit     1   23    8    0    3%    Operational
20 jj        0    4   28    0    0%    Operational
21 aa        0    9   23    0    0%    Operational
22 kk        0   18   14    0    0%    Operational
23 ff        0    0   32    0    0%    Operational
24 cc        0   27    5    0    0%    Operational
25 dd        0    8   24    0    0%    Operational
26 gg        0    2   30    0    0%    Operational
27 hh        0    1   31    0    0%    Operational
28 ww        0   11   21    0    0%    Operational
29 yy        0    5   27    0    0%    Operational
30 needs     7   25    0    0   22%    Network
31 feeds     0   32    0    0    0%    Network
32 stayc     0   32    0    0    0%    Network
33 mento     0    0   32    0    0%    Network
34 diff      0    0   32    0    0%    Network
35 ll        0   32    0    0    0%    Network
36 con       7   13   12    0   22%    Network
37 pro       7   13   12    0   22%    Network
38 vv        0   32    0    0    0%    Network
39 vvnow     0   32    0    0    0%    Network
40 model    32    0    0    0  100%    Network
41 conv      0   25    7    0    0%    Analytical
42 bib       0   28    4    0    0%    Analytical
43 pol       0    2   30    0    0%    Analytical
44 his       0    6   26    0    0%    Analytical
45 doi       0    0   32    0    0%    Analytical

Aggregate by group:

Group                  Avg %Full   Avg %Partial   Avg %Stub
---------------------- ---------   -----------    ---------
1-3: Identity+Tech+Src    65%          28%           7%
4:   Operational            0%          25%          75%
5:   Network & Version     15%          53%          32%
6:   Analytical              0%          38%          62%
-------------------------------------------------------
OVERALL (45 fields)        26%          35%          39%

2. Network Dependency Graph#

2.1 Theorem Dependencies (from “Given…” proof lists)#

Theorem

Depends on (needs)

Justification

th5_T5

ax8_A8, ax9_A9, ax11_A11, ax15_A15, ax16_A16, ax17_A17, ax18_A18

Divine presence (ax8_A8) + sustaining (ax9_A9) + dipolarity (ax11_A11) establish the ontological context; agency (ax15_A15) + delegation (ax16_A16) + guiding (ax17_A17) + moral responsibility (ax18_A18) construct the exoneration chain

th6_T6

ax19_A19

Causal concentration (ax19_A19) directly provides the unique h* whose influence th6_T6 quantifies

th7_T7

th6_T6, ax16_A16, ax17_A17, ax22_A22

th6_T6 identifies h*; delegation (ax16_A16) + guiding (ax17_A17) show God seeks rather than forces; creative work (ax22_A22) requires the volunteer to act freely

th8_T8

ax20_A20, ax21_A21, ax24_A24

Innovation failure (ax20_A20) + success (ax21_A21) establish the two trajectories; life-trifecta (ax24_A24) defines the attractor criterion

th9_T9

ax15_A15, ax25_A25

Agency (ax15_A15) provides the Markov chain agents; Jubilee recalibration (ax25_A25) ensures irreducibility (no role becomes absorbing)

th10_T10

ax8_A8, ax9_A9, ax11_A11, ax15_A15

Presence (ax8_A8) + sustaining (ax9_A9) establish omnipotence; dipolarity (ax11_A11) + agency (ax15_A15) show how omnipotence coexists with genuine creaturely freedom

th11_T11

ax15_A15, ax25_A25, th8_T8

Agency (ax15_A15) provides stakes; Jubilee recalibration (ax25_A25) provides windows; th8_T8’s binary attractors provide the irreversibility structure that makes stakes real without requiring biological death

2.2 Inter-Axiom Dependencies#

ax1_A1  ← (foundational: mereological containment)
ax2_A2  ← ax1_A1 (proper parthood extends containment)
ax3_A3  ← ax2_A2 (divine surplus strengthens proper parthood)
ax4_A4  ← ax1_A1, ax3_A3 (omnipresent divine surplus)
ax5_A5  ← ax1_A1 (necessary existence of G)
ax6_A6  ← ax1_A1 (contingent existence of W)
ax7_A7  ← ax1_A1 (necessary containment — modalizes ax1_A1)
ax8_A8  ← ax1_A1 (intimate divine presence to all parts)
ax9_A9  ← ax8_A8 (world sustained by divine presence)
ax10_A10 ← ax9_A9 (God not sustained by world — asymmetry)
ax11_A11 ← ax1_A1, ax2_A2, ax3_A3 (dipolar composition presupposes containment + surplus)
ax12_A12 ← ax11_A11 (language about divine nature requires dipolarity)
ax13_A13 ← ax12_A12 (consistency of divine assertions)
ax14_A14 ← ax1_A1-ax13_A13 (revelation consistency across all prior axioms)
---
ax15_A15 ← PET foundation (agency within divine ontological structure)
ax16_A16 ← ax15_A15 (delegation presupposes genuine agency)
ax17_A17 ← ax15_A15, ax16_A16 (guiding-not-forcing requires agency + delegation)
ax18_A18 ← ax15_A15, ax17_A17 (moral responsibility requires agency + freedom from force)
ax19_A19 ← ax15_A15 (causal concentration presupposes agency)
ax20_A20 ← ax15_A15 (innovation failure presupposes agency)
ax21_A21 ← ax20_A20 (innovation success is the complement of ax20_A20)
ax22_A22 ← ax15_A15, ax17_A17 (creative work requires agency + freedom from force)
ax23_A23 ← ax22_A22 (innovation voluntariness extends creative-work requirement)
ax24_A24 ← ax20_A20, ax21_A21 (life-trifecta definition uses both outcomes)
ax25_A25 ← ax24_A24 (recalibration addresses life-trifecta maintenance)

2.3 Logical Chain (from Stress-Test 2G-1)#

The core argument flows through three links:

ax24_A24 → th8_T8 (S: semi-formal — CTMC backbone, informal mapping step)
    → ax25_A25 (L: plausible — weakest link; "some mechanism" ≠ "periodic reset")
        → ResearchCity (L: plausible — competitive-inhibitor model, no rate parameters)

Key downstream dependencies of th8_T8:

  • th9_T9 depends on ax25_A25, which depends on th8_T8 for its justification

  • th11_T11 depends on th8_T8 directly (binary attractors provide irreversibility)

  • If th8_T8 falls from “semi-formal” to “asserted,” the practical conclusion chain loses its mathematical backbone

2.4 Uncertain or Disputed Edges#

Edge

Why uncertain

th8_T8 ← ax24_A24 (mapping step)

The absorbing CTMC theorem is valid; the mapping from “civilization” to “absorbing CTMC with cord violations as transition triggers” is the critical informal step (2G-1)

ax25_A25 ← th8_T8 (mechanism specificity)

th8_T8 establishes “some anti-concentration mechanism needed” but NOT “periodic Jubilee-based recalibration specifically” (2G-1 Gap 1, weakest link)

th9_T9 ← 7TrackRole model

The Markov chain convergence theorem requires a fully specified chain; 7TrackRole lacks operational definitions and transition probabilities (2G-1 Gap 3, Grade A)

ResearchCity ← ax25_A25

The competitive-inhibitor model has no specified rate parameters for the geopolitical pathway (2G-1 Link 3)

2.5 Isolated or Under-Connected Elements#

Element

Finding

ax12_A12, ax13_A13

No theorem cites ax12_A12 or ax13_A13 in its proof. These axioms constrain language about divinity (ax12_A12) and consistency of divine assertions (ax13_A13) but have no formal downstream consumers. This is structurally acceptable — they serve as meta-constraints on the system rather than proof ingredients — but the isolation should be explicitly acknowledged in their PoR entries.

ax14_A14

No theorem cites ax14_A14. Like ax12_A12–ax13_A13, it is a meta-constraint (revelation consistency). Its feeds field should document its role as a system-wide consistency check rather than a proof ingredient.

th10_T10

No other theorem or axiom depends on th10_T10. It is a standalone reconciliation result (omnipotence + freedom). This is not a gap — th10_T10 addresses a specific philosophical question — but its network isolation should be noted.

ax5_A5–ax7_A7

These modal axioms (necessary existence, contingent world, necessary containment) are not directly cited in any JUB theorem proof. They operate at the PET level. Their feeds should document their role in the mereological-modal foundation that the JUB theorems presuppose.

3. Combined Gap Analysis#

3.1 Critical Gaps (>50% Stub across all 32 elements)#

#

Field

%Stub

Assessment

23

ff

100%

Systemically empty. No formal FeedbackFlow queues exist for any element. The quest con/pro structure IS processed feedback, but unprocessed feedback channels do not exist per-element.

33

mento

100%

Systemically empty. No element has “study after ax1_A1–ax4_A4” style learning guidance. The Formal Framework section provides partial ordering context but not per-element guidance.

34

diff

100%

Systemically empty. No per-element version history exists. OOv1 → OOv2 changes are documented in session llogs but not collected as per-element diff records.

45

doi

100%

Systemically empty. No DOIs or permanent identifiers have been assigned. This is expected at the current development stage.

43

pol

94%

Only ax25_A25 and th8_T8 have identifiable policy content. Most elements are not policy-relevant.

26

gg

94%

Only th8_T8 (CTMC model) and th9_T9 (7TrackRole framework) have identifiable “promising draft” content.

27

hh

97%

Only ax25_A25 has deprecated content (GC analogy partial withdrawal).

20

jj

88%

Only ax19_A19, ax25_A25, th5_T5, th8_T8, th9_T9 have identified blockers (from stress- test convergence matrix and Phase 3 priorities).

29

yy

84%

Only elements with stress-test coverage have identifiable test cases.

44

his

81%

Only ax1_A1–ax2_A2, ax11_A11, ax14_A14, ax25_A25, th8_T8 have historical analysis content.

9

logic

22%

7/32 elements are Stub (all theorems th5_T5–th11_T11). No element is Full. This is the largest cross-cutting gap in fields 1–18.

21

aa

72%

Only elements with Phase 3 priorities have identifiable next steps.

25

dd

75%

Only 8 elements have identifiable architectural decisions.

28

ww

66%

Only elements in the core logical chain have identified downstream breakage risks.

Pattern: POST operational fields (20–29) are systemically empty. The stress-test outputs contain the raw material for many of these fields but the content has not been structured per-element. The analytical fields (41–45) are similarly sparse for theorems.

3.2 Quick Wins (Partial → Full with targeted work)#

#

Field

Why quick

Effort

3

name

CamelCase conversion from titles is mechanical: “Containment” → Containment, “Human Genuine Agency” → HumanGenuineAgency

Script: ~1 hour

1

id

10 PET axioms (ax5_A5–ax14_A14) need .. _pet-ax{N}: labels added following the AHA convention

Script: ~30 min

6

latex

5 theorems (th5_T5, th7_T7, th9_T9–th11_T11) need inline :math: extracted to standalone .. math:: blocks

Manual: ~2 hours

40

model

Already 100% Full. No action needed.

None

30

needs

Theorems already F (explicit “Given…” lists). Axioms need dependency lists generated from the graph in Section 2.

Synthesize: ~3 hours

31

feeds

Mechanical inversion of field 30 once needs is populated

Script: ~1 hour

36/37

con/pro

Quest label mapping exists (quest.rst lines 7–32). Needs per-element cross-reference lists generated.

Script: ~2 hours

38/39

vv/vvnow

OOv2 VVN is assigned at framework level. Per-element VVNs need mechanical generation.

Script: ~1 hour

32

stayc

Framework-level QQ exists. Per-element codes need assignment based on stress-test assessments.

Synthesize: ~4 hours

3.3 Source-Text Gaps by Tradition (from Part A)#

Axioms (ax1_A1–ax25_A25): 100% Full across all 7 traditions. Every axiom has structured “Scriptural and philosophical support:” sections with specific chapter:verse citations.

Theorems (th5_T5–th11_T11): 43 of 49 cells are Stub. This is the dominant gap in fields 12–18.

Priority ranking for filling:

  1. Theorems th5_T5–th11_T11 source-text support (43 S-rated cells). Synthesize from constituent axiom citations.

  2. Quran for theorems: zero coverage, high scholarly importance.

  3. Torah and Hebrew Bible for theorems: Jubilee-based framework anchor.

  4. Logic field (9) for all elements: largest cross-cutting gap.

3.4 Network Completeness#

Coverage: The dependency graph in Section 2 covers all 32 elements. Every element has at least one edge (either as source or target).

Completeness findings:

  • Theorem dependencies are explicit and complete. Every theorem’s “Given…” list in theorems.rst is the authoritative source.

  • Axiom dependencies are implicit. Inter-axiom dependencies are described in Explanation paragraphs but not formally listed. These need formalization for the needs/feeds fields.

  • 4 elements are under-connected: ax12_A12, ax13_A13, ax14_A14 (meta-constraints with no theorem consumers) and th10_T10 (standalone reconciliation). This is structurally acceptable but should be documented.

  • 3 disputed edges require resolution: th8_T8 mapping step, ax25_A25 mechanism specificity, and th9_T9 7TrackRole model. All three are identified as Phase 3 priorities.

3.5 StayVS Coverage#

Framework-level: QQ (QualityQuest — Contested) assigned by Claude in 2G-2H summary. LLoL’s VVN iv_LLoL_OOv2r0p0_2026m03d22 marks a development milestone, not a maturity claim.

Per-element: The 2G-2H summary states: “No item advances to RR in Claude’s assessment.” Per-element StayVS codes have not been assigned. The stayc field is Partial (P) for all 32 elements — the framework-level assessment exists but element-specific codes do not.

Coverage gap: A per-element StayVS assessment would require evaluating each element against the stress-test findings. Elements with no identified gaps (e.g., ax1_A1–ax4_A4 mereological axioms, which survived C10’s challenge) might warrant higher maturity codes than elements with open Phase 3 gaps (e.g., th8_T8, th9_T9, ax25_A25).

3.6 Operational Field Patterns#

Systemic finding: POST fields (20–29) are 75% Stub on average. The stress-test outputs contain raw material for many operational fields, but this material has not been structured per-element:

  • jj (blockers): The convergence matrix and Phase 3 priorities identify blockers for 4 elements (th8_T8, th9_T9, ax19_A19, ax25_A25). The remaining 28 elements have no identified blockers.

  • aa (next steps): Phase 3 priorities map to ~9 elements. The remaining 23 have no explicit action items.

  • kk (traps): Con entries identify traps for 18 elements (those targeted by at least one critique). The remaining 14 have no identified traps.

  • cc (background reading): Scriptural citations serve as background reading for all 25 axioms. Theorems lack external references except th8_T8 and th9_T9.

  • ff (feedback): Systemically empty. All 33 critiques have been processed into the quest; no unprocessed feedback queues exist.

  • ww (breakage risk): The dependency graph identifies breakage risks for ~11 elements in the core logical chain. Peripheral elements have no identified downstream dependents.

Recommendation: A Phase 3 “operational field population” pass should extract stress-test and critique content into the POST fields for the ~10 most critical elements (those with Phase 3 priorities). Populating all 32 elements × 11 POST fields would be low-value work for peripheral elements.

4. Complete Extraction Difficulty Table — All 45 Fields#

#

Field

Difficulty

Source location

Notes

1

id

Auto/Parse

RST .. _label: markers

Auto for 22 elements with labels. Parse for ax5_A5–ax14_A14: apply AHA naming pet-ax{N}.

2

title

Auto

RST section headers

Direct extraction. Strip A{N} --- prefix for raw title.

3

name

Parse

Derived from field 2

Mechanical CamelCase conversion. E.g., “Sustaining Dependence” → SustainingDependence.

4

sum

Auto

Italic one-liners below headers

Regex: first *...* block after each element’s header.

5

intro

Auto

“In plain English:” paragraphs

Regex: text between **In plain English:** and next section.

6

latex

Auto/Parse

.. math:: blocks, :math: roles

Auto for axioms + th6_T6, th8_T8. Parse for th5_T5, th7_T7, th9_T9–th11_T11 (extract inline math from “Given…” wrappers).

7

tctx

Auto/Parse

“Explanation:” (axioms), “Significance:” (theorems)

Auto for 22 F-rated. Parse for 10 P-rated: extract technical content from merged paragraphs.

8

tcnt

Synthesize

Multiple sections per element

Requires assembly from Explanation + notes + design features. P-rated need expansion.

9

logic

Synthesize/Generate

Formal Framework (PET), formal statements

Synthesize for PET. Generate for JUB and theorems: requires naming logic system and predicate analysis.

10

twhy

Auto/Generate

“Proof:” (theorems), “Explanation:” (axioms)

Auto for theorems. Generate for axioms: create justification chains explaining why each axiom is needed.

11

tinf

Auto

“In plain English:” paragraphs

Direct extraction. Same source as field 5.

12

stor

Auto/Generate

“Torah:” bullets

Auto for axioms. Generate for theorems: synthesize from constituent axiom Torah references.

13

sheb

Auto/Generate

“Prophets & Writings:” bullets

Same pattern as stor.

14

sgos

Auto/Generate

“Gospel (Jesus):” bullets

Same pattern.

15

sapo

Auto/Generate

“Christian (wider):” bullets

Same pattern. AHA splits sgos/sapo; PoR splits Gospel/Christian — may need re-sorting.

16

squr

Parse/Generate

“Islamic:” bullets

Parse for axioms: separate Quran citations from broader Islamic theology. Generate for theorems.

17

ssan

Parse/Generate

“Hindu:” bullets

Parse for axioms: separate Sanskrit citations from broader Hindu theology. Generate for theorems.

18

vsec

Auto/Generate

“Secular:” bullets

Auto for axioms. Generate for theorems where no secular content exists. th8_T8, th9_T9 have partial content.

19

limit

Parse/Generate

Explanation paragraphs, stress-test reports

Parse for ax19_A19 (dedicated section). Synthesize for elements with stress-test limitation analysis. Generate for elements with no limitation content.

20

jj

Synthesize

Convergence matrix, Phase 3 priorities

Extract from 2G-4 convergence matrix and Phase 3 priority list. Map each gap/priority to its element. Generate for 28 elements with no identified blocker (most will be “none identified”).

21

aa

Synthesize

Phase 3 priorities, stress-test recommendations

Map Phase 3 priorities to elements. Generate for 23 elements with no explicit action items.

22

kk

Synthesize

Con entries, stress-test warnings

Extract trap descriptions from con entries. Synthesize avoidance strategies from pro entries. Generate for 14 untargeted elements.

23

ff

Generate

(none — field is empty)

Would require creating FeedbackFlow mailto links or feedback channels per element. Low priority.

24

cc

Parse

Scriptural citations (axioms), empirical refs (th8_T8, th9_T9)

Parse tradition bullets for axioms. Extract academic citations from stress-tests for theorems.

25

dd

Synthesize

Explanation notes, design features, ax11b_A11b fork

Synthesize from existing architectural discussion for 8 elements. Generate for 24 elements with no decisions documented.

26

gg

Synthesize

Stress-test formalization roadmaps

Extract from 2G-1 “to close” recommendations for th8_T8 (CTMC formalization) and th9_T9 (7TrackRole specification).

27

hh

Parse

Quest dispositions (conceded/withdrawn)

Extract from ax25_A25-related concessions (GC analogy, C2.10 equivocation). Most elements: N/A.

28

ww

Synthesize

Dependency graph (Section 2)

Derive from feeds field: list what downstream elements break if this element changes. Mechanical once graph is populated.

29

yy

Synthesize

Stress-test grading tables

Extract test cases from 2G-1 resolution grades, 2G-2 credibility assessments, and 2G-3 disposition audit entries.

30

needs

Auto/Synthesize

“Given…” lists (theorems), Explanation (axioms)

Auto for theorems (extract from proof headers). Synthesize for axioms from explanation content and the graph in Section 2.

31

feeds

Synthesize

Inverse of field 30

Mechanical inversion once needs is populated. Script.

32

stayc

Synthesize

2G-2H maturity assessment, stress-test outcomes

Assign per-element codes from framework QQ + stress-test findings. Elements with open Phase 3 gaps stay at QQ or below; elements with resolved challenges may warrant higher codes.

33

mento

Generate

(none — field is empty)

Requires new content: learning pathways, prerequisite chains, recommended study order. Could be partially derived from the dependency graph (Section 2).

34

diff

Generate

Session llogs (2a–2H)

Requires collecting per-element changes from all Phase 2 session llogs. Labor-intensive but possible with grep across llogs.

35

ll

Synthesize

Session llog metadata, file-modification tables

Cross-reference element mentions in llog titles and file-change tables. Mechanical but requires reading all llog metadata.

36

con

Parse

Quest.rst con entries + label mapping

Quest label mapping (lines 7–32) provides the mapping. Parse con entries to identify which elements each targets.

37

pro

Parse

Quest.rst pro entries + label mapping

Same as field 36.

38

vv

Generate

OOv2 freeze VVN

Generate per-element VVNs following the pattern iv_LLoL_OOv2r0p0_2026m03d22 at framework level. Per-element VVNs may share the framework VVN until independent versioning.

39

vvnow

Generate

Derived from field 38

Pointer to current version. Mechanical once vv is populated.

40

model

Auto

File location (pet/ vs jub/)

Trivially derivable: ax1_A1–ax14_A14 = Pet, ax15_A15–ax25_A25 = Jub, th5_T5–th11_T11 = Jub.

41

conv

Synthesize

Tradition support sections (axioms), quest C2.10 concession

Synthesize convergence/divergence patterns from the 7-tradition support sections. For ax25_A25 specifically: incorporate C2.10 concession (only Torah supports periodic-reset mechanism). Generate for theorems.

42

bib

Parse/Synthesize

Tradition bullets, stress-test citations

Parse academic citations from axiom tradition bullets (Piketty, SDT, Scheidel, etc.) and stress-test reports. Collect into per-element bibliography.

43

pol

Generate

Stress-test feasibility analysis

Generate policy discussion content for ax25_A25 (inequality/ redistribution policy) and th8_T8 (existential risk policy). Most elements have no policy relevance.

44

his

Synthesize/Generate

Axiom explanations, stress-test historical analysis

Synthesize for ax11_A11 (panentheism since Krause 1828), ax14_A14 (revelation testing history), ax25_A25 (Jubilee history, Fager 1993), th8_T8 (civilizational collapse). Generate for others.

45

doi

Generate

(none — field is empty)

Requires ResearchCity DOI-equivalent system. Not actionable at current stage.

4.1 Difficulty Summary#

Difficulty       Count   Fields
-----------     ------   ------
Auto               6    title, sum, intro, tinf, model, (partial: id, latex, tctx, needs, stor-vsec for axioms)
Parse              7    name, squr, ssan, limit, con, pro, bib (plus partial for others)
Synthesize        14    tcnt, logic, jj, aa, kk, cc, dd, gg, ww, yy, needs(axioms), feeds, stayc, conv, his
Generate          10    ff, mento, diff, vv, vvnow, doi, pol, hh, ll (partial), 34
Mixed              8    Most fields have different difficulty for axioms vs. theorems

Key insight from Part A (confirmed in Part B): Fields 1–18 are 60% Auto/Parse for axioms. Fields 19–45 are 75% Synthesize/Generate. The axiom corpus is extraction-ready; the operational and analytical infrastructure needs to be built from stress-test outputs.

5. Recommendations for Phase 3 Priority Ordering#

5.1 Field Population Priorities#

Ordered by impact-per-hour:

  1. Quick-win script fields (fields 1, 3, 31, 38, 39, 40) — mechanical operations that bring 6 fields to 100% Full. ~4 hours total.

  2. Network fields (30, 31, 36, 37) — the dependency graph in Section 2 is complete. Converting it to per-element needs/ feeds lists is mechanical synthesis. Con/pro cross-references are mapped in quest.rst. ~6 hours total.

  3. Logic field (9) — the largest cross-cutting gap. Requires naming the logic system for each element and analyzing what each predicate preserves/discards. This aligns with Phase 3 Priority 6 (formal semantics for th5_T5–th11_T11). ~20 hours.

  4. Theorem source-text support (12–18) — 43 Stub cells. Synthesize from constituent axiom citations. Aligns with Phase 3 Priority 9 (cross-traditional support audit). ~15 hours.

  5. Operational fields for critical elements (19–29 for th8_T8, th9_T9, ax19_A19, ax25_A25, th5_T5) — populate jj, aa, kk, dd, ww, yy from stress-test outputs for the 5 most critical elements. ~8 hours.

  6. StayVS per-element codes (32) — assign maturity codes based on stress-test assessments. ~4 hours.

  7. Convergence analysis (41) — synthesize from tradition support sections. Most valuable for ax25_A25 (C2.10 concession implications). ~10 hours.

5.2 Fields to Deprioritize#

  • ff (23): FeedbackFlow queues are infrastructure, not content. Build when the compilation skill creates per-element pages.

  • doi (45): Requires ResearchCity DOI-equivalent system. Not actionable.

  • mento (33): Learning guidance is a PoT/PoU concern, not a PoR concern. Defer to the compilation skill’s easy depth pass.

  • diff (34): Per-element version history is useful but labor-intensive. Defer to a future automated changelog.

  • gg (26), hh (27): Growth garden and history heap are lifecycle management fields. Populate organically as content evolves.

6. Proposed Changes to the 45-Field Structure#

6.2 Observations for Phase 3 consideration#

  1. Fields 5 (intro) and 11 (tinf) draw from the same source (“In plain English:” paragraphs). The AHA may want to explicitly define the extraction boundary: intro = first paragraph (accessible overview), tinf = analogies and metaphors within the explanation.

  2. Field 24 (cc) overlaps with field 42 (bib). cc (CollectedContent) is operational (“background reading from others”) while bib (Bibliography) is analytical (“academic references”). In practice, the same citations appear in both. Consider whether cc should be restricted to unprocessed reading (like ff for feedback) while bib holds curated references.

  3. The ``conv`` field (41) could absorb tradition source-text analysis from fields 12–18, presenting a unified convergence picture. Currently, stor through vsec provide raw citations while conv synthesizes agreement/divergence. This split is architecturally sound but may lead to redundant analysis. The compilation skill should ensure conv references the s* fields rather than duplicating them.

  4. POST field population should be event-driven, not batch- populated. Fields like jj (blockers), aa (next steps), and kk (traps) change with each development cycle. Pre-populating them from Phase 2 stress-tests creates a snapshot that will immediately begin aging. Consider treating these as living fields updated at each phase boundary rather than compiled once.

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.

TELES repair — 2026m04d04

Repaired RST section title errors by wrapping verbatim prompt content containing heading syntax in .. code-block:: rst blocks. No formal content was modified.