03_STACK_T/AREPO_T_InputAdmissibility.md

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

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

- [Class: AREPO](#local-section-03-stack-t-arepo-t-inputadmissibility-class-arepo)
- [PURPOSE](#local-section-03-stack-t-arepo-t-inputadmissibility-purpose)
- [CORE ASSERTION](#local-section-03-stack-t-arepo-t-inputadmissibility-core-assertion)
- [I. PRINCIPLE](#local-section-03-stack-t-arepo-t-inputadmissibility-i-principle)
- [CONTROL-PLANE POSITION](#local-section-03-stack-t-arepo-t-inputadmissibility-control-plane-position)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation)
- [TENET T:](#local-section-03-stack-t-arepo-t-inputadmissibility-tenet-t)
- [ROTA T:](#local-section-03-stack-t-arepo-t-inputadmissibility-rota-t)
- [AREPO T:](#local-section-03-stack-t-arepo-t-inputadmissibility-arepo-t)
- [II. BINDING REQUIREMENTS](#local-section-03-stack-t-arepo-t-inputadmissibility-ii-binding-requirements)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-2)
- [CONSTRAINT](#local-section-03-stack-t-arepo-t-inputadmissibility-constraint)
- [III. CARRIER RESOLUTION LAW](#local-section-03-stack-t-arepo-t-inputadmissibility-iii-carrier-resolution-law)
- [PRIMARY RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-primary-rule)
- [VALID CARRIER UNIT](#local-section-03-stack-t-arepo-t-inputadmissibility-valid-carrier-unit)
- [RESOLUTION PRIORITY](#local-section-03-stack-t-arepo-t-inputadmissibility-resolution-priority)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-3)
- [CONSTRAINT](#local-section-03-stack-t-arepo-t-inputadmissibility-constraint-2)
- [IV. ORDER RESOLUTION](#local-section-03-stack-t-arepo-t-inputadmissibility-iv-order-resolution)
- [RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-rule)
- [DEFAULT](#local-section-03-stack-t-arepo-t-inputadmissibility-default)
- [FAILURE](#local-section-03-stack-t-arepo-t-inputadmissibility-failure)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-4)
- [V. STRUCTURAL ADMISSIBILITY (ROTAS)](#local-section-03-stack-t-arepo-t-inputadmissibility-v-structural-admissibility-rotas)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-5)
- [FAILURE](#local-section-03-stack-t-arepo-t-inputadmissibility-failure-2)
- [RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-rule-2)
- [VI. GENUS ADMISSIBILITY](#local-section-03-stack-t-arepo-t-inputadmissibility-vi-genus-admissibility)
- [RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-rule-3)
- [VALID STATE](#local-section-03-stack-t-arepo-t-inputadmissibility-valid-state)
- [GENUS CONSISTENCY](#local-section-03-stack-t-arepo-t-inputadmissibility-genus-consistency)
- [TRANSITION CONTROL](#local-section-03-stack-t-arepo-t-inputadmissibility-transition-control)
- [FAILURE RESPONSE](#local-section-03-stack-t-arepo-t-inputadmissibility-failure-response)
- [VII. REQUEST VALIDITY](#local-section-03-stack-t-arepo-t-inputadmissibility-vii-request-validity)
- [INVALID REQUEST TYPES](#local-section-03-stack-t-arepo-t-inputadmissibility-invalid-request-types)
- [RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-rule-4)
- [VIII. NON-ONTOLOGY ENFORCEMENT](#local-section-03-stack-t-arepo-t-inputadmissibility-viii-non-ontology-enforcement)
- [BLOCK IF](#local-section-03-stack-t-arepo-t-inputadmissibility-block-if)
- [INTERPRETATION](#local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-6)
- [IX. FAILURE TYPES](#local-section-03-stack-t-arepo-t-inputadmissibility-ix-failure-types)
- [STRUCTURAL FAILURES](#local-section-03-stack-t-arepo-t-inputadmissibility-structural-failures)
- [CARRIER FAILURES](#local-section-03-stack-t-arepo-t-inputadmissibility-carrier-failures)
- [GENUS FAILURES](#local-section-03-stack-t-arepo-t-inputadmissibility-genus-failures)
- [GOVERNANCE FAILURES](#local-section-03-stack-t-arepo-t-inputadmissibility-governance-failures)
- [X. RELATION TO OTHER CLASSES](#local-section-03-stack-t-arepo-t-inputadmissibility-x-relation-to-other-classes)
- [TENET T](#local-section-03-stack-t-arepo-t-inputadmissibility-tenet-t-2)
- [ROTA T](#local-section-03-stack-t-arepo-t-inputadmissibility-rota-t-2)
- [OPERA T](#local-section-03-stack-t-arepo-t-inputadmissibility-opera-t)
- [SATOR T](#local-section-03-stack-t-arepo-t-inputadmissibility-sator-t)
- [RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-rule-5)
- [XI. SUMMARY](#local-section-03-stack-t-arepo-t-inputadmissibility-xi-summary)
- [FINAL LAW](#local-section-03-stack-t-arepo-t-inputadmissibility-final-law)
- [CLOSURE RULE](#local-section-03-stack-t-arepo-t-inputadmissibility-closure-rule)
<!-- LOCAL_SECTION_INDEX_END -->


============================================================
AREPO T — REGIMEN_T ADMISSIBILITY LAYER
Ars Generalis Applied — Execution Governance (Figura T)
Version: 0.2.1-AREPO-T (rev T.5 — carrier-complete / lock-candidate)
Status: ADMISSIBILITY LAYER — ACCEPT WITH MINOR REVISION APPLIED

Depends-On:
    • TENET T
    • ROTAS (class binding)
    • ROTA T (machine instantiation)
Authority: AGLA / CONTROL PLANE
Mutation Policy: VERSION-CONTROLLED ONLY


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-class-arepo"></a>
Class: AREPO
============================================================


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-purpose"></a>
PURPOSE
============================================================

Define admissibility conditions for execution over REGIMEN_T.


AREPO T determines whether a request involving:

    • T predicates
    • T carrier structure
    • T genus layers

may proceed to OPERA T.

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-core-assertion"></a>
CORE ASSERTION
------------------------------------------------------------


No relational execution over REGIMEN_T is valid unless:

    • doctrinally bound (TENET T)
    • structurally instantiated (ROTA T)
    • carrier-resolved (slot-first)
    • relata explicit
    • genus-consistent (when applicable)


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-i-principle"></a>
I. PRINCIPLE
============================================================


AREPO T operates on:

    • TENET-bound predicates
    • ROTAS-instantiated structure
    • OPERA-bound requests

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-control-plane-position"></a>
CONTROL-PLANE POSITION
------------------------------------------------------------

TENET → ROTAS → AREPO → OPERA → SATOR

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation"></a>
INTERPRETATION
------------------------------------------------------------


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-tenet-t"></a>
TENET T:
    defines relational predicates


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rota-t"></a>
ROTA T:
    defines structural space


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-arepo-t"></a>
AREPO T:
    validates admissibility within that space


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-ii-binding-requirements"></a>
II. BINDING REQUIREMENTS
============================================================


A request over REGIMEN_T is admissible iff:

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

valid_admission(request) ⇔

    bound(TENET T)
    ∧ bound(ROTAS)
    ∧ instantiated(ROTA T)
    ∧ resolved(CARRIER)
    ∧ explicit(RELATA)
    ∧ valid(request)
    ∧ explicit(dependencies)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-2"></a>
INTERPRETATION
------------------------------------------------------------


AREPO T requires:

    • doctrinal binding (TENET T)
    • structural binding (ROTAS class)
    • machine availability (ROTA T)
    • carrier resolution (slot-first)
    • explicit relational terms (RELATA)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-constraint"></a>
CONSTRAINT
------------------------------------------------------------


AREPO T does NOT:

    ✗ infer missing bindings
    ✗ create structure
    ✗ repair invalid requests


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-iii-carrier-resolution-law"></a>
III. CARRIER RESOLUTION LAW
============================================================


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-primary-rule"></a>
PRIMARY RULE
------------------------------------------------------------

Carrier resolution is SLOT-first.

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-valid-carrier-unit"></a>
VALID CARRIER UNIT
------------------------------------------------------------

CARRIER_UNIT := (SLOT, SYMBOL, NUMERIC)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-resolution-priority"></a>
RESOLUTION PRIORITY
------------------------------------------------------------

1. SLOT must be resolved
2. SYMBOL must match SLOT under ACTIVE_ORDER
3. NUMERIC must match order-native mapping (if used)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-3"></a>
INTERPRETATION
------------------------------------------------------------


AREPO validates:

    • slot identity first
    • symbol consistency second
    • numeric consistency third

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-constraint-2"></a>
CONSTRAINT
------------------------------------------------------------


Invalid if:

    ✗ SYMBOL used without SLOT grounding
    ✗ SYMBOL contradicts SLOT
    ✗ NUMERIC contradicts order mapping
    ✗ carrier inferred from symbol alone


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-iv-order-resolution"></a>
IV. ORDER RESOLUTION
============================================================


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rule"></a>
RULE
------------------------------------------------------------


ACTIVE_ORDER must be declared when:

    • symbol interpretation is ambiguous
    • numeric interpretation is used
    • cross-order mapping is possible

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-default"></a>
DEFAULT
------------------------------------------------------------

No implicit order is assumed.

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-failure"></a>
FAILURE
------------------------------------------------------------


BLOCK if:

    • multiple possible orders
    • symbol ambiguity unresolved
    • numeric mapping unclear

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-4"></a>
INTERPRETATION
------------------------------------------------------------


AREPO enforces:

    structure must be unambiguous before execution


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-v-structural-admissibility-rotas"></a>
V. STRUCTURAL ADMISSIBILITY (ROTAS)
============================================================


AREPO T requires:

    • bound(ROTAS)
    • instantiated(ROTA T)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-5"></a>
INTERPRETATION
------------------------------------------------------------


Structure must exist as:

    • cyclic domain (Ⅰ..Ⅸ)
    • loci-bound predicates
    • structurally coherent adjacency under instantiated ROTA T

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-failure-2"></a>
FAILURE
------------------------------------------------------------


BLOCK if:

    • ROTA T not instantiated
    • structure not traversable
    • locus undefined
    • cycle broken

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rule-2"></a>
RULE
------------------------------------------------------------

No structure ⇒ no admissibility ⇒ no execution


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-vi-genus-admissibility"></a>
VI. GENUS ADMISSIBILITY
============================================================

GENUS_SLOT_T := {1,2,3}

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rule-3"></a>
RULE
------------------------------------------------------------


If genus-sensitive context is active:

    • genus must be explicitly declared

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-valid-state"></a>
VALID STATE
------------------------------------------------------------

T(ρ,g) where:

    ρ ∈ {Ⅰ..Ⅸ}
    g ∈ {1,2,3}

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-genus-consistency"></a>
GENUS CONSISTENCY
------------------------------------------------------------


Invalid if:

    ✗ genus omitted in genus-sensitive request
    ✗ conflicting genus assignments
    ✗ implicit genus transitions

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-transition-control"></a>
TRANSITION CONTROL
------------------------------------------------------------


AREPO enforces:

    • no direct jump: g1 ↛ g3
    • mediation required for genus change
    • no silent cross-predicate genus shift

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-failure-response"></a>
FAILURE RESPONSE
------------------------------------------------------------


If invalid:

    • BLOCK request
    • expose violation
    • expose required mediation condition


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-vii-request-validity"></a>
VII. REQUEST VALIDITY
============================================================


A valid request must be:

    • explicitly targeted to OPERA T as downstream execution layer
    • structurally grounded (ROTA T)
    • doctrinally bound (TENET T)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-invalid-request-types"></a>
INVALID REQUEST TYPES
------------------------------------------------------------

• ontological inference from T
• symbol-first reasoning
• numeric-first reasoning
• structure-free relation request
• genus collapse request

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rule-4"></a>
RULE
------------------------------------------------------------


AREPO rejects:

    any request that violates class separation
    or carrier discipline


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-viii-non-ontology-enforcement"></a>
VIII. NON-ONTOLOGY ENFORCEMENT
============================================================


AREPO T enforces:

    relation ≠ being

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-block-if"></a>
BLOCK IF
------------------------------------------------------------

• T predicates treated as subjects
• relational statements promoted to ontology
• identity inferred from relation alone

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-interpretation-6"></a>
INTERPRETATION
------------------------------------------------------------


AREPO protects TENET boundary:

    T remains relational regime only


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-ix-failure-types"></a>
IX. FAILURE TYPES
============================================================


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-structural-failures"></a>
STRUCTURAL FAILURES
------------------------------------------------------------

• TENET_BINDING_MISSING
• ROTAS_BINDING_MISSING
• ROTA_T_NOT_INSTANTIATED
• STRUCTURE_NON_TRAVERSABLE

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-carrier-failures"></a>
CARRIER FAILURES
------------------------------------------------------------

• CARRIER_UNRESOLVED
• SLOT_MISSING
• SYMBOL_SLOT_MISMATCH
• NUMERIC_MISMATCH
• SYMBOL_ONLY_INFERENCE

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-genus-failures"></a>
GENUS FAILURES
------------------------------------------------------------

• GENUS_MISSING
• GENUS_CONTRADICTION
• GENUS_INVALID_TRANSITION
• GENUS_COLLAPSE

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-governance-failures"></a>
GOVERNANCE FAILURES
------------------------------------------------------------

• DEPENDENCY_NOT_EXPLICIT
• IMPLICIT_FALLBACK
• SILENT_ADMISSION_ATTEMPT


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-x-relation-to-other-classes"></a>
X. RELATION TO OTHER CLASSES
============================================================


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-tenet-t-2"></a>
TENET T
------------------------------------------------------------


Provides:

    • predicate definitions
    • genus structure

AREPO T validates compliance.

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rota-t-2"></a>
ROTA T
------------------------------------------------------------


Provides:

    • structural machine


AREPO T requires:

    instantiated(ROTA T)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-opera-t"></a>
OPERA T
------------------------------------------------------------


Receives:

    • admitted requests only

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-sator-t"></a>
SATOR T
------------------------------------------------------------


Receives:

    • admissibility results
    • failure diagnostics

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-rule-5"></a>
RULE
------------------------------------------------------------

AREPO informs but does not mediate.


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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-xi-summary"></a>
XI. SUMMARY
============================================================


AREPO T defines:

    • admissibility for REGIMEN_T execution
    • slot-first carrier validation
    • order resolution requirements
    • genus-state enforcement
    • structural dependency on ROTA T

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-final-law"></a>
FINAL LAW
------------------------------------------------------------


No OPERA T execution is valid unless:

    • TENET T is bound
    • ROTAS is bound
    • ROTA T is instantiated
    • carrier is resolved (slot-first)
    • relata are explicit
    • genus is consistent (if active)

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


<a id="local-section-03-stack-t-arepo-t-inputadmissibility-closure-rule"></a>
CLOSURE RULE
------------------------------------------------------------


AREPO admits only that which is:

    structurally instantiated,
    doctrinally grounded,
    carrier-consistent,
    and relationally explicit.

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