.. _e7he-aa: **************************************************** e7He --- Any Aims (AA) **************************************************** Open tasks for the e7He model. AA tracks all aims --- operational, structural, and adversarial. Operational Aims ================== .. list-table:: :header-rows: 1 :widths: 28 52 10 * - 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 :ref:`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 ================== .. list-table:: :header-rows: 1 :widths: 28 52 10 * - 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