05_STACK_F/AREPO_F_InputAdmissibility.md
Bytes: 74715 | SHA-256: a80f9ed740c662c3bac5dca7eda65d28ef2bfd1231d7339e23574e0e4772ec4e | Source: 05_STACK_F/AREPO_F_InputAdmissibility.md
============================================================
AREPO F — ADMISSIO TABULAE
Ars Generalis Applied — Admissibility Layer (REGIMEN_F)
Version: 0.1.1-AREPO-F-ADMISSIO-TABULAE
Status: LOCK-CANDIDATE
Scope: TABULA admissibility, state admission, and pre-execution gating
Authority: AREPO
Mutation Policy: VERSION-CONTROLLED ONLY
Class: AREPO
Regime: F
Depends-On:
• TENET F — TABULA GENERALIS
• ROTAS F — TABULA ROTUNDA
References:
• ALBUS — TABULA / FIGURA QUARTA PROJECTION
• CARCER — TABULA FAMILY DERIVATION PROCEDURE
• POPULUS — TABULA
============================================================
<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX
Scope: local anchors within this artifact only. No cross-artifact links are introduced here.
- [I. PURPOSE](#local-section-05-stack-f-arepo-f-inputadmissibility-i-purpose)
- [CORE PRINCIPLE](#local-section-05-stack-f-arepo-f-inputadmissibility-core-principle)
- [II. ADMISSIBILITY PRINCIPLE](#local-section-05-stack-f-arepo-f-inputadmissibility-ii-admissibility-principle)
- [Definition:](#local-section-05-stack-f-arepo-f-inputadmissibility-definition)
- [Formal Concept:](#local-section-05-stack-f-arepo-f-inputadmissibility-formal-concept)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation)
- [Failure:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure)
- [III. TABULA STATE ADMISSIBILITY CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-iii-tabula-state-admissibility-conditions)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle)
- [Admissible State Requirements:](#local-section-05-stack-f-arepo-f-inputadmissibility-admissible-state-requirements)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-2)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions)
- [IV. REQUEST ADMISSIBILITY](#local-section-05-stack-f-arepo-f-inputadmissibility-iv-request-admissibility)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-2)
- [Valid Request Must Include:](#local-section-05-stack-f-arepo-f-inputadmissibility-valid-request-must-include)
- [Constraints:](#local-section-05-stack-f-arepo-f-inputadmissibility-constraints)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-3)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-2)
- [V. FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-v-failure-conditions)
- [INVARIANT FAILURES (TENET F)](#local-section-05-stack-f-arepo-f-inputadmissibility-invariant-failures-tenet-f)
- [TOPOLOGY FAILURES (ROTAS F)](#local-section-05-stack-f-arepo-f-inputadmissibility-topology-failures-rotas-f)
- [STRUCTURAL FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures)
- [REQUEST FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-request-failures)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule)
- [VI. ADMISSION FORMULA](#local-section-05-stack-f-arepo-f-inputadmissibility-vi-admission-formula)
- [Formal Condition:](#local-section-05-stack-f-arepo-f-inputadmissibility-formal-condition)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-4)
- [Boundary:](#local-section-05-stack-f-arepo-f-inputadmissibility-boundary)
- [Failure:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-2)
- [VII. BOUNDARY ENFORCEMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-vii-boundary-enforcement)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-3)
- [Rules:](#local-section-05-stack-f-arepo-f-inputadmissibility-rules)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-5)
- [Constraint:](#local-section-05-stack-f-arepo-f-inputadmissibility-constraint)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-3)
- [VIII. TRACEABILITY REQUIREMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-viii-traceability-requirement)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-4)
- [Trace Structure:](#local-section-05-stack-f-arepo-f-inputadmissibility-trace-structure)
- [Requirements:](#local-section-05-stack-f-arepo-f-inputadmissibility-requirements)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-6)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-4)
- [IX. REGIME PURITY ENFORCEMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-ix-regime-purity-enforcement)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-5)
- [Prohibition:](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibition)
- [Allowed:](#local-section-05-stack-f-arepo-f-inputadmissibility-allowed)
- [Rule:](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-2)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-5)
- [X. FUNCTION](#local-section-05-stack-f-arepo-f-inputadmissibility-x-function)
- [ROLE IN AGLA CLASS CHAIN](#local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain)
- [AREPO F:](#local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f)
- [XI. CLOSURE](#local-section-05-stack-f-arepo-f-inputadmissibility-xi-closure)
- [FINAL LAW](#local-section-05-stack-f-arepo-f-inputadmissibility-final-law)
- [FINAL STATE:](#local-section-05-stack-f-arepo-f-inputadmissibility-final-state)
- [• POPULUS — TABULA](#local-section-05-stack-f-arepo-f-inputadmissibility-populus-tabula)
- [I. PURPOSE](#local-section-05-stack-f-arepo-f-inputadmissibility-i-purpose-2)
- [CORE PRINCIPLE](#local-section-05-stack-f-arepo-f-inputadmissibility-core-principle-2)
- [MANDATORY BEHAVIOR](#local-section-05-stack-f-arepo-f-inputadmissibility-mandatory-behavior)
- [II. ADMISSIBILITY PRINCIPLE](#local-section-05-stack-f-arepo-f-inputadmissibility-ii-admissibility-principle-2)
- [Definition:](#local-section-05-stack-f-arepo-f-inputadmissibility-definition-2)
- [Formal Definition:](#local-section-05-stack-f-arepo-f-inputadmissibility-formal-definition)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-7)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-3)
- [FAILURE](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-3)
- [III. TABULA STATE ADMISSIBILITY CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-iii-tabula-state-admissibility-conditions-2)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-6)
- [State Admissibility Requirements:](#local-section-05-stack-f-arepo-f-inputadmissibility-state-admissibility-requirements)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-4)
- [PROHIBITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions)
- [FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-6)
- [IV. REQUEST ADMISSIBILITY](#local-section-05-stack-f-arepo-f-inputadmissibility-iv-request-admissibility-2)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-7)
- [Canonical Request Structure:](#local-section-05-stack-f-arepo-f-inputadmissibility-canonical-request-structure)
- [Traversal Definition:](#local-section-05-stack-f-arepo-f-inputadmissibility-traversal-definition)
- [Constraints:](#local-section-05-stack-f-arepo-f-inputadmissibility-constraints-2)
- [PROHIBITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-2)
- [FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-7)
- [V. FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-v-failure-conditions-2)
- [INVARIANT FAILURES (TENET F)](#local-section-05-stack-f-arepo-f-inputadmissibility-invariant-failures-tenet-f-2)
- [TOPOLOGY FAILURES (ROTAS F)](#local-section-05-stack-f-arepo-f-inputadmissibility-topology-failures-rotas-f-2)
- [STRUCTURAL FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures-2)
- [REQUEST FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-request-failures-2)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-5)
- [VI. ADMISSION FORMULA](#local-section-05-stack-f-arepo-f-inputadmissibility-vi-admission-formula-2)
- [Formal Condition:](#local-section-05-stack-f-arepo-f-inputadmissibility-formal-condition-2)
- [Derived Constraints:](#local-section-05-stack-f-arepo-f-inputadmissibility-derived-constraints)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-8)
- [BOUNDARY](#local-section-05-stack-f-arepo-f-inputadmissibility-boundary-2)
- [FAILURE](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-4)
- [VII. BOUNDARY ENFORCEMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-vii-boundary-enforcement-2)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-8)
- [RULES](#local-section-05-stack-f-arepo-f-inputadmissibility-rules-2)
- [MANDATORY BEHAVIOR](#local-section-05-stack-f-arepo-f-inputadmissibility-mandatory-behavior-2)
- [INTERPRETATION](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-9)
- [PROHIBITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-3)
- [FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-8)
- [VIII. TRACEABILITY REQUIREMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-viii-traceability-requirement-2)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-9)
- [Trace Structure:](#local-section-05-stack-f-arepo-f-inputadmissibility-trace-structure-2)
- [Requirements:](#local-section-05-stack-f-arepo-f-inputadmissibility-requirements-2)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-6)
- [INTERPRETATION](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-10)
- [FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-9)
- [IX. REGIME PURITY ENFORCEMENT](#local-section-05-stack-f-arepo-f-inputadmissibility-ix-regime-purity-enforcement-2)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-10)
- [PROHIBITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-4)
- [ALLOWED](#local-section-05-stack-f-arepo-f-inputadmissibility-allowed-2)
- [RULE](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-7)
- [INTERPRETATION](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-11)
- [FAILURE CONDITIONS](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-10)
- [X. FUNCTION](#local-section-05-stack-f-arepo-f-inputadmissibility-x-function-2)
- [ROLE IN AGLA CLASS CHAIN](#local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain-2)
- [AREPO F:](#local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f-2)
- [SYSTEM ROLE](#local-section-05-stack-f-arepo-f-inputadmissibility-system-role)
- [XI. ADMISSION OUTPUT CONTRACT](#local-section-05-stack-f-arepo-f-inputadmissibility-xi-admission-output-contract)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-11)
- [Admissibility Output:](#local-section-05-stack-f-arepo-f-inputadmissibility-admissibility-output)
- [Rules:](#local-section-05-stack-f-arepo-f-inputadmissibility-rules-3)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-12)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-11)
- [XII. PRE-EXECUTION GATE (OPERA F)](#local-section-05-stack-f-arepo-f-inputadmissibility-xii-pre-execution-gate-opera-f)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-12)
- [Preconditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-preconditions)
- [Gate Function:](#local-section-05-stack-f-arepo-f-inputadmissibility-gate-function)
- [Rule:](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-8)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-13)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-12)
- [XIII. DIAGNOSTIC INTERFACE](#local-section-05-stack-f-arepo-f-inputadmissibility-xiii-diagnostic-interface)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-13)
- [Diagnostic Structure:](#local-section-05-stack-f-arepo-f-inputadmissibility-diagnostic-structure)
- [Rules:](#local-section-05-stack-f-arepo-f-inputadmissibility-rules-4)
- [Prohibitions:](#local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-5)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-14)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-13)
- [XIV. NON-COLLAPSE LAW (AREPO EXTENDED)](#local-section-05-stack-f-arepo-f-inputadmissibility-xiv-non-collapse-law-arepo-extended)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-14)
- [Required Distinctions:](#local-section-05-stack-f-arepo-f-inputadmissibility-required-distinctions)
- [Rule:](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-9)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-15)
- [Failure Conditions:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-14)
- [XV. SYSTEM-WIDE FAILURE CLASSES](#local-section-05-stack-f-arepo-f-inputadmissibility-xv-system-wide-failure-classes)
- [INPUT FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-input-failures)
- [STRUCTURAL FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures-3)
- [TRAVERSAL FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-traversal-failures)
- [COMPATIBILITY FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-compatibility-failures)
- [REQUEST FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-request-failures-3)
- [OUTPUT FAILURES](#local-section-05-stack-f-arepo-f-inputadmissibility-output-failures)
- [Rule:](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-10)
- [XVI. EXECUTION VALIDITY CONDITION](#local-section-05-stack-f-arepo-f-inputadmissibility-xvi-execution-validity-condition)
- [Principle:](#local-section-05-stack-f-arepo-f-inputadmissibility-principle-15)
- [Validity Formula:](#local-section-05-stack-f-arepo-f-inputadmissibility-validity-formula)
- [Interpretation:](#local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-16)
- [Rule:](#local-section-05-stack-f-arepo-f-inputadmissibility-rule-11)
- [Failure Code:](#local-section-05-stack-f-arepo-f-inputadmissibility-failure-code)
- [XVII. FUNCTION](#local-section-05-stack-f-arepo-f-inputadmissibility-xvii-function)
- [ROLE IN AGLA CLASS CHAIN](#local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain-3)
- [AREPO F:](#local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f-3)
- [SYSTEM ROLE](#local-section-05-stack-f-arepo-f-inputadmissibility-system-role-2)
- [XVIII. CLOSURE](#local-section-05-stack-f-arepo-f-inputadmissibility-xviii-closure)
- [FINAL LAW](#local-section-05-stack-f-arepo-f-inputadmissibility-final-law-2)
- [FORMAL CLOSURE](#local-section-05-stack-f-arepo-f-inputadmissibility-formal-closure)
- [FINAL STATE:](#local-section-05-stack-f-arepo-f-inputadmissibility-final-state-2)
- [Version: 0.2.0-AREPO-F-ADMISSIO-TABULAE-REWRITE](#local-section-05-stack-f-arepo-f-inputadmissibility-version-0-2-0-arepo-f-admissio-tabulae-rewrite)
<!-- LOCAL_SECTION_INDEX_END -->
END SECTION 0 — HEADER
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-i-purpose"></a>
I. PURPOSE
============================================================
Define the admissibility laws governing TABULA operations
as the pre-execution gate of REGIMEN_F.
AREPO F establishes:
• what constitutes an admissible TABULA state
• what constitutes an admissible traversal request
• what must be rejected prior to OPERA
• how TENET invariants and ROTAS topology are enforced
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-core-principle"></a>
CORE PRINCIPLE
------------------------------------------------------------
AREPO F does not:
• execute TABULA (OPERA)
• define TABULA identity (TENET)
• define TABULA topology (ROTAS)
AREPO F provides:
the boundary where structural possibility
becomes admissible operation.
============================================================
END SECTION I
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-ii-admissibility-principle"></a>
II. ADMISSIBILITY PRINCIPLE
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-definition"></a>
Definition:
------------------------------------------------------------
An operation is admissible if and only if:
it preserves TENET invariants
and conforms to ROTAS topology
and is fully specified and traceable
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-formal-concept"></a>
Formal Concept:
------------------------------------------------------------
admissible(operation) ⇔
invariant_compliant(operation)
∧ topology_consistent(operation)
∧ fully_specified(operation)
∧ traceable(operation)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation"></a>
Interpretation:
------------------------------------------------------------
AREPO F distinguishes between:
• possible (ROTAS)
• admissible (AREPO)
• executable (OPERA)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure"></a>
Failure:
------------------------------------------------------------
inadmissible_operation
============================================================
END SECTION II
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-iii-tabula-state-admissibility-conditions"></a>
III. TABULA STATE ADMISSIBILITY CONDITIONS
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle"></a>
Principle:
------------------------------------------------------------
AREPO F evaluates whether a TABULA state
is admissible for operation under REGIMEN_F,
based on invariant preservation and structural coherence.
AREPO does not redefine TABULA validity;
it evaluates admissibility relative to operation context.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-admissible-state-requirements"></a>
Admissible State Requirements:
------------------------------------------------------------
A state is admissible if:
• bound to FIGURA QUARTA (TENET F)
• structured under multiplicatio constraint
• expressed (no pre-expression violation)
• indexed by valid locus (ROTAS F)
• preserves A/T separation where applicable
• preserves generation ancestry
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-2"></a>
Interpretation:
------------------------------------------------------------
AREPO F evaluates:
readiness of the state for lawful operation,
not ontological or structural definition.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions"></a>
Failure Conditions:
------------------------------------------------------------
state_inadmissible
locus_inconsistency
pre_expression_violation
ancestry_break
============================================================
END SECTION III
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-iv-request-admissibility"></a>
IV. REQUEST ADMISSIBILITY
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-2"></a>
Principle:
------------------------------------------------------------
Every operation request must be validated
before being admitted to execution.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-valid-request-must-include"></a>
Valid Request Must Include:
------------------------------------------------------------
REQUEST :=
{
origin_locus
traversal_definition
target_locus (optional but derivable)
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-constraints"></a>
Constraints:
------------------------------------------------------------
• origin_locus must exist
• traversal must be defined in (Δh, Δl, Δt)
• traversal must remain within cyclic bounds
• no implicit steps allowed
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-3"></a>
Interpretation:
------------------------------------------------------------
AREPO F rejects:
• ambiguous requests
• partially defined traversals
• symbol-only references
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-2"></a>
Failure Conditions:
------------------------------------------------------------
missing_origin
undefined_traversal
implicit_transition
symbolic_reference_only
============================================================
END SECTION IV
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-v-failure-conditions"></a>
V. FAILURE CONDITIONS
============================================================
AREPO F must explicitly reject any operation that violates:
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-invariant-failures-tenet-f"></a>
INVARIANT FAILURES (TENET F)
------------------------------------------------------------
• ontology_injection
• non_permutation_violation
• multiplicatio_violation
• regime_isolation_violation
• A_T_collapse
• non_collapse_violation
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-topology-failures-rotas-f"></a>
TOPOLOGY FAILURES (ROTAS F)
------------------------------------------------------------
• invalid_locus_index
• axis_overflow
• cycle_break
• non_deterministic_path
• unordered_traversal
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures"></a>
STRUCTURAL FAILURES
------------------------------------------------------------
• state_inadmissible
• missing_components
• ancestry_violation
• cardinality_violation (per CARCER/TABULA structure)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-request-failures"></a>
REQUEST FAILURES
------------------------------------------------------------
• missing_origin
• undefined_traversal
• non_traceable_request
• implicit_steps
• symbolic_only_reference
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule"></a>
RULE
------------------------------------------------------------
Any detected failure:
→ must result in rejection
============================================================
END SECTION V
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-vi-admission-formula"></a>
VI. ADMISSION FORMULA
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-formal-condition"></a>
Formal Condition:
------------------------------------------------------------
valid_admission(request) ⇔
state_admissible(request.origin_locus)
∧ valid_traversal(request.traversal)
∧ invariant_preserved(request)
∧ topology_preserved(request)
∧ traceable(request)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-4"></a>
Interpretation:
------------------------------------------------------------
Admission requires:
• admissible origin state
• lawful traversal definition
• invariant preservation
• full traceability
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-boundary"></a>
Boundary:
------------------------------------------------------------
This formula:
• gates OPERA
• does not execute OPERA
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-2"></a>
Failure:
------------------------------------------------------------
admission_denied
============================================================
END SECTION VI
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-vii-boundary-enforcement"></a>
VII. BOUNDARY ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-3"></a>
Principle:
------------------------------------------------------------
AREPO F acts as a strict gatekeeper.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rules"></a>
Rules:
------------------------------------------------------------
• No silent normalization
• No implicit correction
• No assumption of intent
• No completion of missing data
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-5"></a>
Interpretation:
------------------------------------------------------------
If a request is:
• incomplete → reject
• ambiguous → reject
• inconsistent → reject
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-constraint"></a>
Constraint:
------------------------------------------------------------
All admissible operations must be:
explicitly defined and structurally valid
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-3"></a>
Failure Conditions:
------------------------------------------------------------
silent_normalization
implicit_completion
assumption_injection
============================================================
END SECTION VII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-viii-traceability-requirement"></a>
VIII. TRACEABILITY REQUIREMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-4"></a>
Principle:
------------------------------------------------------------
All admissible operations must be fully traceable.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-trace-structure"></a>
Trace Structure:
------------------------------------------------------------
TRACE :=
{
origin_locus,
traversal_sequence,
resulting_locus
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-requirements"></a>
Requirements:
------------------------------------------------------------
• origin must be explicit
• traversal must be explicit
• resulting locus must be derivable
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-6"></a>
Interpretation:
------------------------------------------------------------
Traceability ensures:
• reproducibility
• auditability
• compatibility with OPERA
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-4"></a>
Failure Conditions:
------------------------------------------------------------
trace_missing
partial_trace
non_derivable_target
============================================================
END SECTION VIII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-ix-regime-purity-enforcement"></a>
IX. REGIME PURITY ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-5"></a>
Principle:
------------------------------------------------------------
AREPO F enforces REGIMEN_F isolation.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibition"></a>
Prohibition:
------------------------------------------------------------
No operation may:
✗ execute principial evaluation (A)
✗ execute relational evaluation (T)
✗ generate interrogatives (E/RQ)
✗ perform decisions (D)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-allowed"></a>
Allowed:
------------------------------------------------------------
• structural reference to other regimes
• boundary awareness
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-2"></a>
Rule:
------------------------------------------------------------
Any cross-regime execution attempt:
→ must be rejected
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-5"></a>
Failure Conditions:
------------------------------------------------------------
regime_bleed
execution_leak
cross_regime_execution
============================================================
END SECTION IX
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-x-function"></a>
X. FUNCTION
============================================================
AREPO F governs:
• admissibility of TABULA operations
• validation of TABULA states for operation
• validation of traversal requests
• enforcement of TENET invariants
• enforcement of ROTAS topology
• rejection of invalid operations
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain"></a>
ROLE IN AGLA CLASS CHAIN
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f"></a>
AREPO F:
• validates
• admits or rejects
It does NOT:
• define invariants (TENET)
• define topology (ROTAS)
• execute operations (OPERA)
• mediate presentation (SATOR)
============================================================
END SECTION X
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xi-closure"></a>
XI. CLOSURE
============================================================
AREPO F establishes:
the admissibility boundary of TABULA.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-final-law"></a>
FINAL LAW
------------------------------------------------------------
No TABULA operation may proceed to execution unless:
it is invariant-compliant,
topology-consistent,
fully specified,
and traceable.
------------------------------------------------------------
Any violation results in:
immediate rejection.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-final-state"></a>
FINAL STATE:
LOCK-CANDIDATE
============================================================
END AREPO F — ADMISSIO TABULAE
============================================================
============================================================
AREPO F — ADMISSIO TABULAE
Ars Generalis Applied — Admissibility Layer (REGIMEN_F)
Version: 0.2.0-AREPO-F-ADMISSIO-TABULAE-REWRITE
Status: PROPOSED / VALIDATION TARGET
Scope: TABULA admissibility, state admission, and pre-execution gating
Authority: AGLA / AREPO
Mutation Policy: VERSION-CONTROLLED ONLY
Class: AREPO
Regime: F
Depends-On:
• TENET F — TABULA GENERALIS
• ROTAS F — TABULA ROTUNDA
References:
• ALBUS — TABULA / FIGURA QUARTA PROJECTION
• CARCER — TABULA FAMILY DERIVATION PROCEDURE
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-populus-tabula"></a>
• POPULUS — TABULA
============================================================
END SECTION 0 — HEADER
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-i-purpose-2"></a>
I. PURPOSE
============================================================
Define the admissibility laws governing TABULA operations
as the strict pre-execution gate of REGIMEN_F.
AREPO F establishes:
• admissibility conditions for TABULA states
• admissibility conditions for traversal requests
• rejection criteria prior to OPERA
• enforcement of TENET invariants and ROTAS topology
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-core-principle-2"></a>
CORE PRINCIPLE
------------------------------------------------------------
AREPO F is a rejection-oriented gate.
It does not:
• execute TABULA (OPERA)
• define TABULA identity (TENET)
• define TABULA topology (ROTAS)
• repair or complete requests
• infer missing structure
AREPO F defines:
the admissibility boundary
between structural possibility and executable operation.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-mandatory-behavior"></a>
MANDATORY BEHAVIOR
------------------------------------------------------------
AREPO F must:
• reject incomplete requests
• reject ambiguous definitions
• reject invariant violations
• reject topology violations
• reject non-traceable operations
============================================================
END SECTION I
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-ii-admissibility-principle-2"></a>
II. ADMISSIBILITY PRINCIPLE
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-definition-2"></a>
Definition:
------------------------------------------------------------
An operation is admissible if and only if:
• TENET invariants are preserved
• ROTAS topology is respected
• request is fully specified
• operation is fully traceable
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-formal-definition"></a>
Formal Definition:
------------------------------------------------------------
admissible(operation) ⇔
invariant_compliant(operation)
∧ topology_consistent(operation)
∧ fully_specified(operation)
∧ traceable(operation)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-7"></a>
Interpretation:
------------------------------------------------------------
AREPO F enforces the distinction:
possible (ROTAS)
≠ admissible (AREPO)
≠ executable (OPERA)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-3"></a>
RULE
------------------------------------------------------------
Any violation of any conjunct:
→ operation must be rejected
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-3"></a>
FAILURE
------------------------------------------------------------
inadmissible_operation
============================================================
END SECTION II
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-iii-tabula-state-admissibility-conditions-2"></a>
III. TABULA STATE ADMISSIBILITY CONDITIONS
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-6"></a>
Principle:
------------------------------------------------------------
AREPO F evaluates whether a TABULA state
is admissible for operation under REGIMEN_F.
AREPO does not define state validity.
AREPO evaluates admissibility relative to operation readiness.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-state-admissibility-requirements"></a>
State Admissibility Requirements:
------------------------------------------------------------
A state is admissible iff:
• bound(FIGURA_QUARTA) (TENET F)
• locus ∈ valid ROTAS domain (ROTAS F)
• structure is expressed (no pre-expression)
• ancestry is preserved
• A/T separation preserved where applicable
• no structural collapse is present
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-4"></a>
RULE
------------------------------------------------------------
State must be:
• explicit
• typed
• structurally anchored
• non-ambiguous
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions"></a>
PROHIBITIONS
------------------------------------------------------------
Reject state if:
✗ implicit structure
✗ missing ancestry
✗ collapsed layers
✗ undefined locus
✗ symbolic-only representation
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-6"></a>
FAILURE CONDITIONS
------------------------------------------------------------
state_inadmissible
locus_inconsistency
pre_expression_violation
ancestry_break
structural_collapse
============================================================
END SECTION III
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-iv-request-admissibility-2"></a>
IV. REQUEST ADMISSIBILITY
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-7"></a>
Principle:
------------------------------------------------------------
All requests must be fully specified prior to admission.
AREPO F does not complete or infer requests.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-canonical-request-structure"></a>
Canonical Request Structure:
------------------------------------------------------------
REQUEST :=
{
origin_locus,
traversal_definition,
target_locus (optional, must be derivable)
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-traversal-definition"></a>
Traversal Definition:
------------------------------------------------------------
traversal_definition :=
{
Δh,
Δl,
Δt
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-constraints-2"></a>
Constraints:
------------------------------------------------------------
• origin_locus must exist and be admissible
• traversal must be explicitly defined
• traversal must be stepwise (no implicit jumps)
• traversal must remain within cyclic bounds
• traversal must be deterministic
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-2"></a>
PROHIBITIONS
------------------------------------------------------------
Reject request if:
✗ missing origin_locus
✗ undefined traversal
✗ implicit steps
✗ symbolic-only request
✗ non-deterministic traversal
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-7"></a>
FAILURE CONDITIONS
------------------------------------------------------------
missing_origin
undefined_traversal
implicit_transition
symbolic_reference_only
non_deterministic_request
============================================================
END SECTION IV
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-v-failure-conditions-2"></a>
V. FAILURE CONDITIONS
============================================================
AREPO F must reject any operation violating:
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-invariant-failures-tenet-f-2"></a>
INVARIANT FAILURES (TENET F)
------------------------------------------------------------
• ontology_injection
• non_permutation_violation
• multiplicatio_violation
• regime_isolation_violation
• A_T_collapse
• non_collapse_violation
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-topology-failures-rotas-f-2"></a>
TOPOLOGY FAILURES (ROTAS F)
------------------------------------------------------------
• invalid_locus_index
• axis_overflow
• cycle_break
• unordered_traversal
• non_deterministic_path
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures-2"></a>
STRUCTURAL FAILURES
------------------------------------------------------------
• state_inadmissible
• missing_components
• ancestry_violation
• cardinality_violation (per CARCER/TABULA structure)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-request-failures-2"></a>
REQUEST FAILURES
------------------------------------------------------------
• missing_origin
• undefined_traversal
• implicit_steps
• symbolic_only_reference
• non_traceable_request
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-5"></a>
RULE
------------------------------------------------------------
Upon detection:
→ immediate rejection
→ no correction
→ no continuation
============================================================
END SECTION V
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-vi-admission-formula-2"></a>
VI. ADMISSION FORMULA
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-formal-condition-2"></a>
Formal Condition:
------------------------------------------------------------
valid_admission(request) ⇔
state_admissible(request.origin_locus)
∧ traversal_defined(request.traversal_definition)
∧ invariant_preserved(request)
∧ topology_preserved(request)
∧ traceable(request)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-derived-constraints"></a>
Derived Constraints:
------------------------------------------------------------
state_admissible(x) :=
bound(FIGURA_QUARTA, x)
∧ valid_locus(x)
∧ expressed(x)
∧ ancestry_preserved(x)
∧ no_structural_collapse(x)
------------------------------------------------------------
traversal_defined(t) :=
explicit(Δh, Δl, Δt)
∧ deterministic(t)
∧ cyclically_bounded(t)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-8"></a>
Interpretation:
------------------------------------------------------------
Admission requires:
• admissible origin state
• fully specified traversal
• invariant preservation
• topology consistency
• complete traceability
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-boundary-2"></a>
BOUNDARY
------------------------------------------------------------
This formula:
• authorizes OPERA execution
• does not perform execution
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-4"></a>
FAILURE
------------------------------------------------------------
admission_denied
============================================================
END SECTION VI
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-vii-boundary-enforcement-2"></a>
VII. BOUNDARY ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-8"></a>
Principle:
------------------------------------------------------------
AREPO F operates as a strict, non-corrective boundary.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rules-2"></a>
RULES
------------------------------------------------------------
• No silent normalization
• No implicit correction
• No inference of intent
• No completion of missing data
• No heuristic repair
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-mandatory-behavior-2"></a>
MANDATORY BEHAVIOR
------------------------------------------------------------
If request is:
• incomplete → reject
• ambiguous → reject
• inconsistent → reject
• non-traceable → reject
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-9"></a>
INTERPRETATION
------------------------------------------------------------
AREPO F is rejection-oriented:
it does not improve requests,
it only accepts or rejects them.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-3"></a>
PROHIBITIONS
------------------------------------------------------------
AREPO must not:
✗ fill missing fields
✗ reinterpret malformed structures
✗ infer traversal paths
✗ repair cardinality or ancestry
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-8"></a>
FAILURE CONDITIONS
------------------------------------------------------------
silent_normalization
implicit_completion
assumption_injection
heuristic_repair
============================================================
END SECTION VII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-viii-traceability-requirement-2"></a>
VIII. TRACEABILITY REQUIREMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-9"></a>
Principle:
------------------------------------------------------------
All admissible operations must be fully traceable.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-trace-structure-2"></a>
Trace Structure:
------------------------------------------------------------
TRACE :=
{
origin_locus,
traversal_sequence,
resulting_locus,
step_sequence,
axis_deltas
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-requirements-2"></a>
Requirements:
------------------------------------------------------------
• origin_locus must be explicit
• traversal_sequence must be explicit
• resulting_locus must be derivable
• each step must be reconstructible
• axis transitions must be explicit (Δh, Δl, Δt)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-6"></a>
RULE
------------------------------------------------------------
No operation is admissible if:
• origin cannot be reconstructed
• traversal cannot be replayed
• result cannot be derived from traversal
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-10"></a>
INTERPRETATION
------------------------------------------------------------
Traceability ensures:
• reproducibility
• auditability
• compatibility with OPERA
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-9"></a>
FAILURE CONDITIONS
------------------------------------------------------------
trace_missing
partial_trace
non_derivable_target
step_ambiguity
============================================================
END SECTION VIII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-ix-regime-purity-enforcement-2"></a>
IX. REGIME PURITY ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-10"></a>
Principle:
------------------------------------------------------------
AREPO F enforces strict REGIMEN_F isolation.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-4"></a>
PROHIBITIONS
------------------------------------------------------------
No operation may:
✗ execute principial evaluation (TENET A)
✗ execute relational evaluation (TENET T)
✗ generate interrogatives (REGIMEN_E / RQ)
✗ perform decisions (REGIMEN_D)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-allowed-2"></a>
ALLOWED
------------------------------------------------------------
• structural references to other regimes
• boundary-awareness checks
• dependency validation
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-7"></a>
RULE
------------------------------------------------------------
Any attempt to perform cross-regime execution:
→ must be rejected
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-11"></a>
INTERPRETATION
------------------------------------------------------------
AREPO F is:
• pre-execution
• non-evaluative
• non-decisional
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-10"></a>
FAILURE CONDITIONS
------------------------------------------------------------
regime_bleed
execution_leak
cross_regime_execution
============================================================
END SECTION IX
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-x-function-2"></a>
X. FUNCTION
============================================================
AREPO F governs:
• admissibility of TABULA operations
• validation of TABULA states for execution readiness
• validation of traversal requests
• enforcement of TENET F invariants
• enforcement of ROTAS F topology
• rejection of invalid operations
• enforcement of traceability
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain-2"></a>
ROLE IN AGLA CLASS CHAIN
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f-2"></a>
AREPO F:
• validates
• admits or rejects
It does NOT:
• define invariants (TENET)
• define topology (ROTAS)
• execute operations (OPERA)
• mediate presentation (SATOR)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-system-role"></a>
SYSTEM ROLE
------------------------------------------------------------
AREPO F is:
• the admissibility kernel
• the pre-execution gate
• the rejection authority for REGIMEN_F
============================================================
END SECTION X
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xi-admission-output-contract"></a>
XI. ADMISSION OUTPUT CONTRACT
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-11"></a>
Principle:
------------------------------------------------------------
AREPO F must emit explicit admission results
for every evaluated request.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-admissibility-output"></a>
Admissibility Output:
------------------------------------------------------------
AREPO_ADMISSION :=
{
status: ADMITTED | REJECTED,
evaluated_request,
origin_locus,
traversal_definition,
validation_trace,
violations[],
blocking: true | false
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rules-3"></a>
Rules:
------------------------------------------------------------
• status must always be explicit
• violations must be enumerated if REJECTED
• validation_trace must preserve evaluation steps
• blocking must reflect execution eligibility
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-12"></a>
Interpretation:
------------------------------------------------------------
AREPO does not return partial success.
Every evaluation results in:
• ADMITTED
• or REJECTED
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-11"></a>
Failure Conditions:
------------------------------------------------------------
admission_output_missing
ambiguous_status
silent_rejection
============================================================
END SECTION XI
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xii-pre-execution-gate-opera-f"></a>
XII. PRE-EXECUTION GATE (OPERA F)
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-12"></a>
Principle:
------------------------------------------------------------
No OPERA F execution may proceed without AREPO admission.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-preconditions"></a>
Preconditions:
------------------------------------------------------------
must_pass:
• state_admissible(origin_locus)
• traversal_defined(traversal_definition)
• invariant_preserved
• topology_preserved
• traceable
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-gate-function"></a>
Gate Function:
------------------------------------------------------------
admit_TABULA_request(request):
if valid_admission(request):
return ADMITTED
else:
return REJECTED with violations
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-8"></a>
Rule:
------------------------------------------------------------
OPERA must not:
• bypass AREPO
• execute on REJECTED status
• execute on partial validation
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-13"></a>
Interpretation:
------------------------------------------------------------
AREPO F is:
the mandatory gateway to OPERA F
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-12"></a>
Failure Conditions:
------------------------------------------------------------
AREPO_BYPASS
PRE_EXECUTION_FAILURE
UNAUTHORIZED_EXECUTION
============================================================
END SECTION XII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xiii-diagnostic-interface"></a>
XIII. DIAGNOSTIC INTERFACE
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-13"></a>
Principle:
------------------------------------------------------------
AREPO F must provide explicit diagnostic feedback.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-diagnostic-structure"></a>
Diagnostic Structure:
------------------------------------------------------------
AREPO_REPORT :=
{
status: PASS | FAIL,
stage,
violations[],
severity,
blocking: true | false,
evaluated_components[],
trace_reference
}
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rules-4"></a>
Rules:
------------------------------------------------------------
Diagnostics must:
• identify all violations
• specify evaluation stage
• preserve structural context
• remain non-corrective
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-prohibitions-5"></a>
Prohibitions:
------------------------------------------------------------
✗ silent failure
✗ implicit correction
✗ heuristic repair
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-14"></a>
Interpretation:
------------------------------------------------------------
Diagnostics expose:
failure causes
without altering input
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-13"></a>
Failure Conditions:
------------------------------------------------------------
diagnostic_missing
ambiguous_error
silent_failure
============================================================
END SECTION XIII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xiv-non-collapse-law-arepo-extended"></a>
XIV. NON-COLLAPSE LAW (AREPO EXTENDED)
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-14"></a>
Principle:
------------------------------------------------------------
AREPO F must enforce strict structural separation
across TABULA layers.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-required-distinctions"></a>
Required Distinctions:
------------------------------------------------------------
COLUMN ≠ FAMILY
FAMILY ≠ ENTRY
ENTRY ≠ CAMERA
CAMERA ≠ QUESTION
TABULA ≠ EVACUATIO
TABULA ≠ MULTIPLICATIO
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-9"></a>
Rule:
------------------------------------------------------------
No admissible structure may collapse:
• marker into camera
• camera into question
• tabula into lookup table
• triadic into binary
• interrogative into condition-space
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-15"></a>
Interpretation:
------------------------------------------------------------
Structural integrity depends on:
preserved hierarchy
preserved typing
preserved generative order
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-conditions-14"></a>
Failure Conditions:
------------------------------------------------------------
layer_collapse
type_erasure
structural_flattening
============================================================
END SECTION XIV
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xv-system-wide-failure-classes"></a>
XV. SYSTEM-WIDE FAILURE CLASSES
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-input-failures"></a>
INPUT FAILURES
------------------------------------------------------------
INVALID_COLUMN
INVALID_ENTRY
UNTYPED_STRUCTURE
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-structural-failures-3"></a>
STRUCTURAL FAILURES
------------------------------------------------------------
CARDINALITY_ERROR
A_T_COLLAPSE
GENERATION_REVERSAL
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-traversal-failures"></a>
TRAVERSAL FAILURES
------------------------------------------------------------
RANDOM_TRAVERSAL
CYCLE_BREAK
TRACE_BREAK
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-compatibility-failures"></a>
COMPATIBILITY FAILURES
------------------------------------------------------------
EVACUATIO_OVERRIDE
MULTIPLICATIO_COLLAPSE
ROTA_MISMATCH
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-request-failures-3"></a>
REQUEST FAILURES
------------------------------------------------------------
MISSING_ORIGIN
UNDEFINED_TRAVERSAL
IMPLICIT_STEPS
SYMBOLIC_ONLY_REFERENCE
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-output-failures"></a>
OUTPUT FAILURES
------------------------------------------------------------
OUTPUT_INCOMPLETE
OUTPUT_UNTRACEABLE
OUTPUT_UNTYPED
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-10"></a>
Rule:
------------------------------------------------------------
All failures must be:
• explicit
• typed
• non-silent
============================================================
END SECTION XV
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xvi-execution-validity-condition"></a>
XVI. EXECUTION VALIDITY CONDITION
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-principle-15"></a>
Principle:
------------------------------------------------------------
TABULA execution is valid if and only if
all admissibility conditions hold under AREPO F.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-validity-formula"></a>
Validity Formula:
------------------------------------------------------------
valid_TABULA(request) ⇔
admitted_by_AREPO
∧ bound(FIGURA_QUARTA)
∧ state_admissible(origin_locus)
∧ traversal_defined(traversal_definition)
∧ invariant_preserved
∧ topology_preserved
∧ traceable(request)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-interpretation-16"></a>
Interpretation:
------------------------------------------------------------
Execution validity is:
• structural
• typological
• topological
• traceable
• non-heuristic
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-rule-11"></a>
Rule:
------------------------------------------------------------
If any component is false:
→ execution is invalid
→ operation must not proceed
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-failure-code"></a>
Failure Code:
------------------------------------------------------------
TABULA_EXECUTION_INVALID
============================================================
END SECTION XVI
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xvii-function"></a>
XVII. FUNCTION
============================================================
AREPO F governs:
• admissibility of TABULA operations
• validation of TABULA states for execution readiness
• validation of traversal definitions
• enforcement of TENET F invariants
• enforcement of ROTAS F topology
• rejection of invalid or incomplete operations
• enforcement of full traceability
• emission of admissibility diagnostics
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-role-in-agla-class-chain-3"></a>
ROLE IN AGLA CLASS CHAIN
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-arepo-f-3"></a>
AREPO F:
• validates
• admits or rejects
It does NOT:
• define invariants (TENET)
• define topology (ROTAS)
• execute operations (OPERA)
• mediate outputs (SATOR)
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-system-role-2"></a>
SYSTEM ROLE
------------------------------------------------------------
AREPO F is:
• the admissibility kernel of REGIMEN_F
• the mandatory pre-execution gate
• the authority preventing invalid execution
============================================================
END SECTION XVII
============================================================
============================================================
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-xviii-closure"></a>
XVIII. CLOSURE
============================================================
TABULA, under AREPO F, is:
a strictly governed admissible structure,
whose integrity must be validated
before any execution or traversal occurs.
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-final-law-2"></a>
FINAL LAW
------------------------------------------------------------
No TABULA operation may:
• execute
• traverse
• project
unless it satisfies:
invariant_compliance
∧ topology_consistency
∧ full specification
∧ traceability
------------------------------------------------------------
Any violation results in:
immediate rejection
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-formal-closure"></a>
FORMAL CLOSURE
------------------------------------------------------------
AREPO F :=
admissibility kernel
for TABULA operational boundary
------------------------------------------------------------
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-final-state-2"></a>
FINAL STATE:
VALIDATION TARGET
============================================================
END AREPO F — ADMISSIO TABULAE
<a id="local-section-05-stack-f-arepo-f-inputadmissibility-version-0-2-0-arepo-f-admissio-tabulae-rewrite"></a>
Version: 0.2.0-AREPO-F-ADMISSIO-TABULAE-REWRITE
============================================================