e7He — Any Aims (AA)#

Open tasks for the e7He model. AA tracks all aims — operational, structural, and adversarial.

Operational Aims#

Item

Description

Priority

AA-e7He-Overview-a1

Resolved (2026-03-30): Three overview pages written during PROMY:REAP: overview-beginner.rst (~1170 words), overview-producer.rst (~1300 words), overview-expert.rst (~2300 words). All trace claims to formal statements via :ref:, use BEST Names, note OOv1.

resolved

AA-e7He-PredicateSpec-a1

Resolved (2026-03-30): .. vvnow:: (unknown directive) changed to .. vvnow: (valid RST comment, matching the canonical format from SISYF spec). Root cause: SEED prompt lacked vvnow format guidance; now added.

resolved

AA-e7He-SymbolsVvnow-a1

Resolved (2026-03-30): Same fix as PredicateSpec-a1.

resolved

AA-e7He-LLogLabels-a1

The same .. _e7he-*: labels exist in both the extracted files (axioms.rst, theorems.rst) and the FORGE llog (sa3_2026m03d28/llog.rst). Sphinx silently resolves to one. During the llog migration (AA-LLogMigration-a1), the llog labels should be removed or commented out to eliminate ambiguity.

low

AA-e7He-M8M9-a1

Submodels m8 and m9 are reserved but undefined. Document the reservation rationale and conditions under which they would be activated. Consider whether the binary encoding (which uses 3 bits = 8 values including 000) already exhausts the natural structure, making m8-m9 extensions beyond the binary BABL framework.

low

AA-e7He-SymbolGaps-a1

FEED finding (2026-03-30): ~44% of mathematical notation used in axioms/theorems was not in symbols.rst. Fixed during FEED: added Time Indexing, Functions, and Logical Operators sections. ~10 inherited PET/JUB symbols remain in symbols.rst that are not used in e7He math blocks (G, W, D_f, D_free, V, λ, A, R(a)) — these are kept for cross-model coherence but should be checked during GROW.

low

AA-e7He-SymbolH-a1

FEED finding: H is used as both Humanity (agent set) and Shannon entropy H(X). Notation note added to symbols.rst. Cross-model resolution tracked in AA-PROMY-SymbolConflicts-a1.

medium

AA-e7He-RenamedVars-a1

FEED finding (resolved in GROW 2026-03-30): β was renamed to Iserendipity, α to Ipursuit, γ to Idecay during FORGE Round a3. Applied in th3 integral during GROW Repair 2. The only math-block instance of the Ie variables (the th3 integral) now uses the BEST Names. All other β instances in math blocks are bif(h) (bifurcation score), not Ie variables.

resolved

AA-e7He-GrowPredicates-a1

GROW finding (2026-03-30): The th3 conditional repair introduced two predicates (rest-adequate, goal-pursued) that were not in the original STRIKE output. Added to predicates.rst as #41–42 during GROW. These map to existing axiom predicates (rest from m0.ax5, pursuing from m0.ax3) but are used as distinct conditions in the th3 math block.

low

Adversarial Aims#

Item

Description

Priority

AA-e7He-LateTheorems-a1

TEMPER-tested (2026-03-30): th6+th7 paired adversarial testing completed (dv_ClaOp46Max_OOv1r1_2026m03d30). All 10 Iron Maiden tests applied to th6, th7, and their interaction. Results: 2 KOs found and repaired (th6: irrevocability decidability + partition gap; th7: bootstrap iff condition). 5 OKOs documented as separate AA items below. Both theorems remain at OOv1 pending resolution of OKOs.

resolved

AA-e7He-Lyapunov-a1

Formalize ridge dynamics as Lyapunov function for e7He.th2. Sketch recorded in FORGE session Sa3. Full formalization in future STRIKE. (Carried forward from FORGE AA.)

medium

AA-e7He-OKO-SincerityTuring-a1

TEMPER finding (2026-03-30): Can transparency mechanisms distinguish genuine from fake commitment in the limit? “Genuine” (predicate #32) is semi-decidable: detectable if false, never certifiable if true. Resolution path: formal Bayesian convergence argument showing confidence increases monotonically with time and successful transparency tests.

high

AA-e7He-OKO-TransitionDynamics-a1

TEMPER finding (2026-03-30): How does the PD-to-Assurance transformation propagate through a heterogeneous population? th6 describes equilibrium states but underspecifies the dynamics of the transition. Resolution path: agent-based model or formal analysis of critical mass for Assurance equilibrium, and h*’s visibility role in achieving it.

medium

AA-e7He-OKO-CrossGen-a1

TEMPER finding (2026-03-30): Does institutional memory preserve the Assurance equilibrium across generational transitions (h*_1 death to h*_2 confirmation)? Resolution path: coalgebraic bisimilarity analysis (WB Sheet 9) showing pre- and post-succession states are bisimilar if (a)-(d) externalized; or Lyapunov perturbation bound (WB Sheet 5) showing succession is a bounded perturbation within the basin of attraction.

medium

AA-e7He-OKO-MultiH0-a1

TEMPER finding (2026-03-30): What happens when multiple agents simultaneously claim effectively irrevocable NOT-OK commitment? Expected: multiple genuine h₀ candidates should cooperate (strengthening Assurance), not compete (reintroducing PD). Needs formal N-player Assurance Game extension.

low

AA-e7He-OKO-InstitutionalCapture-a1

TEMPER finding (2026-03-30): The gift externalized into institutions can be captured by the institution (m6.ax BABL pattern). The transparency mechanism itself can be captured. This creates a meta-transparency requirement (who watches the watchers?) with potential infinite regress. Resolution path: formal bounding of the regress; Michels’ iron law acknowledged as irreducible risk (Con-C.3.3 / Pro-D.3.3).

medium