.. meta::
   :description: Predicate specification table for the e7He Hero Journey model. Each predicate has a one-line behavioral criterion.
   :keywords: e7He, predicates, operationalization, behavioral criteria, hero journey
   :author: LLoL as Laurence Loewe of Laodicea, with ClaudeOp46Max as formal auditor

************************************************************
e7He --- Predicate Specifications
************************************************************

.. vvnow dv_ClaOp46Max_OOv2_2026m03d29

Every predicate used in the e7He formal statements is listed below with
a one-line behavioral criterion that makes it empirically assessable.
Proto-formal predicates (those without full formal semantics) are marked.

Predicates are grouped by source: m0 axioms, stage axioms (m1--m7),
theorems (th1--th7), and structural properties.


m0 Axiom Predicates
======================

.. list-table::
   :header-rows: 1
   :widths: 5 25 50 20

   * - #
     - Predicate
     - Behavioral Criterion
     - Source
   * - 1
     - profile(h)
     - The full state vector of agent h: genetics, history, skills,
       relationships, commitments. Unique by definition (m0.ax1).
     - m0.ax1
   * - 2
     - FATE(h, t₀ᵏ)
     - Agent h's complete state at cycle k start. At birth: unchosen.
       Over life: accumulated consequences of all prior choices and
       circumstances. Markov property: future depends only on FATE,
       not on the path that produced it.
     - m0.ax2
   * - 3
     - accepts(h, FATE)
     - Agent h acknowledges their starting conditions without denial
       or resentment. Observable: h does not spend cycle energy
       relitigating unchosen circumstances.
     - m0.ax2
   * - 4
     - GOAL(h)
     - Agent h's calling in D_inno. Partially unknown (positive
       entropy). Progressively revealed through pursuit. Observable:
       h can articulate a direction even if the destination is unclear.
     - m0.ax3
   * - 5
     - pursuing(h, GOAL)
     - Agent h is actively working toward GOAL. Observable: measurable
       effort, time allocation, skill development directed at GOAL.
     - m0.ax3
   * - 6
     - DESTINY(h, tᶠᵏ)
     - Agent h's state at cycle k end. Provisional fixpoint: valid
       until cycle k+1. Observable: h has a coherent account of what
       the cycle produced.
     - m0.ax4
   * - 7
     - self-assessment(h, t) = NOT-OK
     - Agent h's epistemic posture: "I cannot assume I am doing this
       right." The safe default given cost asymmetry (false OK →
       catastrophic BABL; false NOT-OK → unnecessary humility).
       Observable: h publicly commits to NOT-OK at each cycle start.
     - m0.ax5
   * - 8
     - rest(h, k)
     - Between-cycle recovery. Observable: h pauses active pursuit,
       consolidates learning, recovers energy. NOT a terminal state ---
       produces observations (consolidation) and has outgoing
       transition.
     - m0.ax5
   * - 9
     - stops(h, t)
     - Agent h ceases hero journey cycling. Observable: h no longer
       enters new cycles, no longer resets to NOT-OK, claims "arrived."
     - m0.ax6-7
   * - 10
     - influence-low(h, θ)
     - \|bif(h)\| < θ. Agent h's causal influence on the system is
       below the population threshold θ. Observable: h's decisions
       affect few people or systems.
     - m0.ax6
   * - 11
     - influence-high(h, θ)
     - \|bif(h)\| > θ. Agent h's causal influence exceeds the
       threshold. Observable: h's decisions affect many people or
       systems. h* is the agent with maximal influence.
     - m0.ax7


Stage Axiom Predicates
========================

.. list-table::
   :header-rows: 1
   :widths: 5 25 50 20

   * - #
     - Predicate
     - Behavioral Criterion
     - Source
   * - 12
     - accepts(h, complexity(GOAL))
     - Agent h acknowledges the problem is genuinely complex and does
       not dismiss it. Observable: h engages with the full scope
       rather than seeking Least Inconvenient Explanations.
     - m1.ax
   * - 13
     - commits(h, journey)
     - Agent h begins the journey. Observable: h takes the first step
       into uncertainty. Resources are allocated. Engagement is
       visible.
     - m1.ax
   * - 14
     - skills(h, t) increase
     - Agent h has demonstrably more capability at time t than before.
       Observable: new skills, deeper understanding, wider scope.
     - m2.ax
   * - 15
     - endurance-tested(h)
     - Agent h has survived genuine hardship without quitting.
       Observable: h continued through difficulty where quitting was
       a real option.
     - m2.ax
   * - 16
     - holds-advantage(h)
     - Agent h possesses a genuine competitive advantage. Observable:
       recognition, skill premium, access, or resources.
     - m3.ax
   * - 17
     - captured-by(h, advantage)
     - Agent h's identity is defined by the advantage. Observable: h
       defends the advantage as identity (not as tool), becomes
       hostile to criticism, builds empire around it.
     - m3.ax (negated in ZION)
   * - 18
     - CWA(h, t)
     - Agent h has adopted a Closed World Assumption: "what I know is
       all there is to know." Observable: h dismisses or cannot
       process information from outside their worldview. Unreachable
       by evidence that contradicts their framework.
     - m4.ax
   * - 19
     - false-self-died(h)
     - false-self-died(h) iff not identity-anchored(h, BABL_worldview
       from stages 1--3). Observable (negative test): when h's
       status/expertise/identity is threatened, h does NOT revert to
       BA ("I'm right") or ASH ("you wouldn't understand"). Full
       operationalization requires empirical behavioral criteria.
     - m4.ax (ZION)
   * - 20
     - deeper-BABL-servant(h)
     - Agent h has integrated MOL into their BABL pattern. Observable:
       h's behavior serves BABL with genuine expertise and conviction.
       The corruption feels like clarity.
     - m4.ax (BABL)
   * - 21
     - received-without-entitlement(h)
     - Agent h accepts rewards as gifts, not wages. Observable: h
       expresses gratitude rather than claiming merit. Does not
       convert gifts into claims of specialness.
     - m5.ax
   * - 22
     - shared-without-grasping(h)
     - Agent h distributes benefits justly, especially to the weak.
       Observable: h does not hoard advantages or create monopolies.
       Serves the mass market.
     - m5.ax
   * - 23
     - gift-alive-in-others-hands(h)
     - The gift h received has been successfully transferred. Others
       can use it without h's presence. Observable: the gift functions
       independently of h's involvement.
     - m6.ax
   * - 24
     - institutional-capture(gift)
     - The gift has been captured by its delivery institution.
       Observable: the institution serves itself rather than the
       gift's purpose. Bureaucracy replaces mission.
     - m6.ax (negated in ZION)
   * - 25
     - full-BABL-resisted(h)
     - Agent h has faced and resisted all three BABL components
       simultaneously (MOL + ASH + BA). Observable: h proposes
       genuine simplification where the system has calcified, without
       oversimplifying, overcomplicating, or overreaching.
     - m7.ax (ZION)
   * - 26
     - open-to-next-call(h)
     - Agent h is ready for the next cycle. Observable: h rests but
       does not retire. Maintains curiosity. Answers new calls.
     - m7.ax (ZION)
   * - 27
     - insights-weaponized(h)
     - Agent h uses genuine knowledge as a weapon. Observable: h's
       expertise serves power rather than truth. Knowledge is deployed
       to dominate, not to serve.
     - m7.ax (BABL)
   * - 28
     - Machiavelli-Prince(h)
     - Agent h has perfected the integration of all BABL components.
       Observable: h claims OK authority (Prince face) while producing
       NOT-OK outcomes. The most dangerous agent in the system.
       See also: Fake-h₀ (th6 Case 2).
     - m7.ax (BABL)


Theorem Predicates
====================

.. list-table::
   :header-rows: 1
   :widths: 5 25 50 20

   * - #
     - Predicate
     - Behavioral Criterion
     - Source
   * - 29
     - completes-cycle(h)
     - Agent h has traversed all 7 stages in one cycle. Observable:
       h can demonstrate engagement with all 7 BABL patterns (journey
       segments are non-trivial).
     - th1
   * - 30
     - babl-resisted(h, mₖ)
     - Agent h resisted the specific BABL pattern at stage k.
       Observable: h's behavior at stage k is consistent with ZION
       milestones rather than BABL milestones for that stage.
     - th1
   * - 31
     - irrevocable-NOT-OK(h)
     - Agent h has effectively irrevocably committed to NOT-OK
       self-assessment: the cost of reversal (public exposure,
       institutional collapse, reputational destruction) strictly
       exceeds the benefit of defection. Observable: h has made
       public, permanent, costly commitment that rational agents
       treat as irreversible. Not a promise --- a structural change
       via costly commitment device (Schelling 1960). Semi-decidable:
       fraud is detectable if present (Case 2 HELD); authenticity is
       never certifiable with certainty, only assessed with increasing
       Bayesian confidence over time.
     - th6
   * - 32
     - genuine(h)
     - Agent h's commitment is authentic (not performative).
       Observable over time: genuine commitment produces growing
       record of published failures and corrections; fake commitment
       produces suspiciously clean record or detectable
       inconsistencies.
     - th6
   * - 33
     - transparent(h)
     - Agent h's behavior, decisions, resources, and failures are
       publicly visible and independently verifiable. Observable:
       meets all 7 requirements of the Transparency Manifesto (A--G).
     - th6, th7
   * - 34
     - flawed(h)
     - Agent h acknowledges specific imperfections. Observable: h
       publishes specific failures, not generic humility. The
       published record includes embarrassing mistakes.
     - th6
   * - 35
     - sufficiently-convincing-case(h*)
     - h*'s proposal for ZION is mathematically sound, empirically
       demonstrated, and transparent. Observable: the case survives
       adversarial testing (Iron Maiden); external reviewers judge
       it worth considering.
     - th5
   * - 36
     - perpetual-cycle(h, HeroJourney)
     - Agent h is committed to cycling through the hero journey
       indefinitely. Observable: h re-enters new cycles after each
       REAP, never claims "arrived." Coinductive: the commitment is
       to the process, not to a specific number of cycles.
     - th6 Case 3
   * - 37
     - claims-irrevocable-NOT-OK(h)
     - Agent h publicly claims to have made an irrevocable NOT-OK
       commitment. Observable: h has made the public statement. Does
       NOT assess whether the claim is genuine (that is predicate 32).
     - th6 Case 2
   * - 38
     - transparency-test(h)
     - Independent assessment of h's claimed commitment against actual
       behavior. Observable: external reviewers compare h's public
       claims with documented actions. Produces HELD or BREACH verdict.
     - th6 Case 2
   * - 39
     - system-operates-Case-3(t₁, t₂)
     - The system has been operating under a genuine h₀ commitment
       during the interval [t₁, t₂]. Observable: published transparency
       record, adversarial reviews conducted, no unresolved BREACH
       verdicts.
     - th7
   * - 40
     - can-be-tested(h, standards)
     - Agent h can be subjected to the same testing protocol used for
       the previous h*. Observable: the testing standards are published,
       personnel-independent, and applicable to any candidate.
     - th7
   * - 41
     - rest-adequate(h, k)
     - Agent h rested adequately between cycles, consolidating insight
       and recovering energy. Maps to rest(h, k) from m0.ax5 and m7.ax.
       Observable: h paused active pursuit and consolidated learning
       before re-entering the cycle.
     - th3 (GROW repair)
   * - 42
     - goal-pursued(h, k)
     - Agent h actively pursued their GOAL during cycle k. Maps to
       pursuing(h, GOAL) from m0.ax3. Observable: measurable effort
       and time directed at GOAL throughout the cycle.
     - th3 (GROW repair)


Notes
=======

- Predicates 1--28 were specified during Round a2 TEMPER (entry b23).
  User approved with minor corrections (entries b24--b26).
- Predicates 29--34 were introduced with th6 and th7 during the same
  round.
- Predicates 41--42 were added during PROMY:GROW (2026-03-30) when
  the th3 repair introduced ``rest-adequate`` and ``goal-pursued``
  as explicit conditions.
- Proto-formal predicates (marked above) require empirical behavioral
  criteria from psychology, sociology, or organizational science for
  full operationalization. This is acknowledged and tracked as
  AA-e7He-Predicates-a1.
- The ``false-self-died`` predicate (19) has a negative test:
  if the agent reverts to BA/ASH patterns under identity threat,
  the false self is not dead. Full operationalization in
  llog entry b21 (m4.ax fix).
