04_STACK_E/AREPO_E_InputAdmissibility.md

Bytes: 14118 | SHA-256: cb480d033f2316a4b58530aa494cdfa1836f493a8333af407b6e48cbc504acc9 | Source: 04_STACK_E/AREPO_E_InputAdmissibility.md

Page Sections
<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX

Scope: local anchors within this artifact only. No cross-artifact links are introduced here.

- [Mutation Policy: VERSION-CONTROLLED ONLY](#local-section-04-stack-e-arepo-e-inputadmissibility-mutation-policy-version-controlled-only)
- [I. PURPOSE](#local-section-04-stack-e-arepo-e-inputadmissibility-i-purpose)
- [II. POSITION IN CLASS ORDER](#local-section-04-stack-e-arepo-e-inputadmissibility-ii-position-in-class-order)
- [III. ADMISSIBILITY OBJECTS](#local-section-04-stack-e-arepo-e-inputadmissibility-iii-admissibility-objects)
- [IV. CORE ADMISSIBILITY PRINCIPLE](#local-section-04-stack-e-arepo-e-inputadmissibility-iv-core-admissibility-principle)
- [V. ADMISSIBILITY CONDITIONS](#local-section-04-stack-e-arepo-e-inputadmissibility-v-admissibility-conditions)
- [1. REDUCTIBILITY CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-1-reductibility-condition)
- [2. DEFINITION BINDING CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-2-definition-binding-condition)
- [3. NON-CONTRADICTION CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-3-non-contradiction-condition)
- [4. STRUCTURAL GROUNDING CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-4-structural-grounding-condition)
- [VI. CARRIER ADMISSIBILITY (R0)](#local-section-04-stack-e-arepo-e-inputadmissibility-vi-carrier-admissibility-r0)
- [VII. SPECIES ADMISSIBILITY (R1)](#local-section-04-stack-e-arepo-e-inputadmissibility-vii-species-admissibility-r1)
- [VIII. COMBINATORY ADMISSIBILITY (R2)](#local-section-04-stack-e-arepo-e-inputadmissibility-viii-combinatory-admissibility-r2)
- [IX. TRAVERSAL ADMISSIBILITY (R3)](#local-section-04-stack-e-arepo-e-inputadmissibility-ix-traversal-admissibility-r3)
- [X. FAILURE MODES](#local-section-04-stack-e-arepo-e-inputadmissibility-x-failure-modes)
- [XI. ADMISSIBILITY OUTPUT](#local-section-04-stack-e-arepo-e-inputadmissibility-xi-admissibility-output)
- [XII. RELATION TO OPERA Q](#local-section-04-stack-e-arepo-e-inputadmissibility-xii-relation-to-opera-q)
- [XIII. LIMITS](#local-section-04-stack-e-arepo-e-inputadmissibility-xiii-limits)
- [AREPO_E ONLY:](#local-section-04-stack-e-arepo-e-inputadmissibility-arepo-e-only)
- [XIV. CLOSURE](#local-section-04-stack-e-arepo-e-inputadmissibility-xiv-closure)
- [STATUS:](#local-section-04-stack-e-arepo-e-inputadmissibility-status)
<!-- LOCAL_SECTION_INDEX_END -->


---

============================================================
AREPO E — REGIMEN_RQ (ADMISSIBILITY LAYER)
Ars Generalis Applied — Interrogative Execution Authorization
Version: 1.0.1-AREPO-E-PATCHED
Status: LOCK-CANDIDATE
Scope: ADMISSIBILITY / EXECUTION GATE
Authority: AGLA / AREPO
Class: AREPO


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-mutation-policy-version-controlled-only"></a>
Mutation Policy: VERSION-CONTROLLED ONLY
============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-i-purpose"></a>
I. PURPOSE
------------------------------------------------------------


Define the admissibility conditions governing execution within:

    STACK E — REGIMEN_RQ

------------------------------------------------------------


AREPO_E determines:

    • when a question (Q) is admissible
    • when a carrier (R0) may be activated
    • when species (R1) may be invoked
    • when combinatory space (R2) may be accessed
    • when traversal (R3) is authorized

------------------------------------------------------------


AREPO_E does NOT:

    • define doctrine (TENET)
    • define structure (ROTAS)
    • execute (OPERA)
    • mediate (SATOR)


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-ii-position-in-class-order"></a>
II. POSITION IN CLASS ORDER
============================================================

TENET → ROTAS → AREPO → OPERA → SATOR

------------------------------------------------------------


AREPO_E operates:

    AFTER structural binding
    BEFORE execution


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-iii-admissibility-objects"></a>
III. ADMISSIBILITY OBJECTS
============================================================


AREPO_E evaluates admissibility for:

------------------------------------------------------------

1. Question Input (Q)

    raw interrogative expression

------------------------------------------------------------

2. Carrier Activation (R0)

    mapping Q → {B–K2}

------------------------------------------------------------

3. Species Invocation (R1)

    selection of rule-specific species

------------------------------------------------------------

4. Combinatory Access (R2)

    activation of pair cameras

------------------------------------------------------------

5. Traversal Authorization (R3)

    permission to traverse structure


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-iv-core-admissibility-principle"></a>
IV. CORE ADMISSIBILITY PRINCIPLE
============================================================


A query is admissible iff:

Q_admissible ⇔
    reducible_to_carrier(Q)
    ∧ definition_bound(Q)
    ∧ non-contradictory(Q)
    ∧ structurally_grounded(Q)

------------------------------------------------------------

All four conditions are mandatory.


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-v-admissibility-conditions"></a>
V. ADMISSIBILITY CONDITIONS
============================================================

------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-1-reductibility-condition"></a>
1. REDUCTIBILITY CONDITION
------------------------------------------------------------


Q must be reducible to at least one carrier:

    ∃ n ∈ R0 such that:

        Q → n

------------------------------------------------------------


Failure:

    → reject execution


------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-2-definition-binding-condition"></a>
2. DEFINITION BINDING CONDITION
------------------------------------------------------------


Q must be expressible in terms of:

    TENET E definitions
    TENET R species

------------------------------------------------------------


Constraint:

    no unbound external semantics


    all external terms must be:

        • mapped via CAPUT / AEGIS
        • definition-bound before admissibility

------------------------------------------------------------


Failure:

    → block species invocation


------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-3-non-contradiction-condition"></a>
3. NON-CONTRADICTION CONDITION
------------------------------------------------------------


Q must not contain:

    mutually exclusive predicates
    incompatible species bindings

------------------------------------------------------------


Applies to:

    R1 (species)
    R2 (combinations)

------------------------------------------------------------


Failure:

    → reject traversal


------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-4-structural-grounding-condition"></a>
4. STRUCTURAL GROUNDING CONDITION
------------------------------------------------------------


Q must map onto ROTAS_E:

    R0 → R1 → (optional R2) → R3

------------------------------------------------------------


Constraint:

    no floating species
    no direct R1 → R1 transitions
    no bypass of carrier layer

------------------------------------------------------------


Failure:

    → reject execution


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-vi-carrier-admissibility-r0"></a>
VI. CARRIER ADMISSIBILITY (R0)
============================================================


A carrier n is admissible iff:

    Q reduces to n
    AND
    n participates in valid ROTAS position

------------------------------------------------------------


Multiple carriers:

    allowed


Constraint:

    must remain distinguishable
    (no implicit collapse)


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-vii-species-admissibility-r1"></a>
VII. SPECIES ADMISSIBILITY (R1)
============================================================


A species s is admissible iff:

    s ∈ R1(n)
    AND
    s is definition-compatible with Q

------------------------------------------------------------


Constraint:


    Cross-carrier species interaction is allowed only when:

        • explicitly mediated through R2 (combinatory binding)
        • traceable to carrier pair (nᵢ, nⱼ)

    Unmediated cross-carrier species interaction is forbidden.


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-viii-combinatory-admissibility-r2"></a>
VIII. COMBINATORY ADMISSIBILITY (R2)
============================================================

A pair (nᵢ, nⱼ) is admissible iff:

    both carriers are individually admissible
    AND

    combination does not violate:

        • non-contradiction
        • definition binding

------------------------------------------------------------


Constraint:

    symmetry allowed structurally
    directionality determined by OPERA


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-ix-traversal-admissibility-r3"></a>
IX. TRAVERSAL ADMISSIBILITY (R3)
============================================================


A traversal path P is admissible iff:

    all nodes in P are admissible
    AND

    transitions respect:

        • carrier anchoring
        • species constraints
        • combinatory validity

------------------------------------------------------------


Invalid paths:

    ✗ species-only chains
    ✗ carrier skipping
    ✗ undefined transitions


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-x-failure-modes"></a>
X. FAILURE MODES
============================================================


AREPO_E defines four rejection modes:

------------------------------------------------------------

1. NON-REDUCIBLE

    Q cannot map to any carrier

------------------------------------------------------------

2. UNBOUND

    Q contains unbound semantics

------------------------------------------------------------

3. CONTRADICTORY

    incompatible predicates or species

------------------------------------------------------------

4. STRUCTURALLY INVALID

    violates ROTAS_E constraints


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-xi-admissibility-output"></a>
XI. ADMISSIBILITY OUTPUT
============================================================


AREPO_E produces:

    admissible / non-admissible decision

------------------------------------------------------------


Optional output:


    admissibility trace:

        Q → carrier(s) → species → structure


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-xii-relation-to-opera-q"></a>
XII. RELATION TO OPERA Q
============================================================

AREPO_E does not execute.

------------------------------------------------------------


AREPO_E provides:

    authorization boundary

------------------------------------------------------------


OPERA Q executes only if:

    admissibility = TRUE


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-xiii-limits"></a>
XIII. LIMITS
============================================================


AREPO_E does NOT:

    • determine truth
    • rank alternatives
    • perform synthesis
    • resolve ambiguity

------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-arepo-e-only"></a>
AREPO_E ONLY:

    permits or blocks execution


============================================================


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-xiv-closure"></a>
XIV. CLOSURE
============================================================


AREPO_E establishes:


    the admissibility layer required to:

        • safely activate ROTAS_E
        • lawfully invoke OPERA Q

------------------------------------------------------------


With this artifact:

    ✓ execution becomes gated
    ✓ invalid queries are blocked
    ✓ structure is preserved during execution

------------------------------------------------------------


<a id="local-section-04-stack-e-arepo-e-inputadmissibility-status"></a>
STATUS:

    FUNCTIONALLY COMPLETE
    LOCK-CANDIDATE

============================================================
END OF ARTIFACT
============================================================