06_STACK_SK/AREPO_S_InputAdmissibility.md

Page Sections

ANALOGIAE_EMBEDDED_PROTOCOL: line 1
LLULLIANA_PROTOCOL_SURFACE: line 13
Root-Law: ../00_ROOT_CLASS_LAWS/AGLA_AREPO_CLASS_LAW.md line 23
Purpose: trace the SK subject gates to root contextual and five-class composition admissibility. line 24
Local Authority: AREPO S remains sole admissibility authority for Stack SK. line 25
Archived Carrier: no Contextual_Contraction_Operator artifact is loaded or treated as authority. line 27
## LOCAL SECTION INDEX line 32
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 34
Aligned to TENET K / ROTA S / OPERA S line 86
Version: 0.6.0-AREPO-S-CONTEXTUAL-CONTRACTION-ROOT-CONFORMANT line 87
Status: ADMISSIBILITY PROCEDURE / CONTEXTUAL-CONTRACTION-INTEGRATED / ROOT-CONFORMANT line 88
Authority: AREPO line 89
Scope: validation of substrate classification admissibility line 90
Mutation Policy: VERSION-CONTROLLED ONLY line 91
Class: AREPO line 95
SECTION I — PURPOSE line 105
AREPO S validates whether a substrate classification line 108
emitted by OPERA S is admissible. line 109
AREPO S performs: line 114
AREPO S does NOT: line 124
CORE ASSERTION line 135
No substrate classification is admissible unless: line 139
END SECTION I line 146
SECTION II — INPUT CONTRACT line 154
Given: line 158
PRECONDITION line 171
OPERA_S(q) has been executed. line 174
INTERPRETATION line 180
AREPO S treats input as: line 184
CONSTRAINT line 193
AREPO S must not: line 197
FAILURE line 207
invalid_input_structure line 210
missing_fields line 211
precondition_violation line 212
END SECTION II line 215
SECTION III — DOMAIN VALIDATION line 223
Check: line 227
FORMAL line 235
RULE line 246
All assigned substrates must: line 250
CONSTRAINT line 259
AREPO S must reject: line 263
FAILURE line 273
out_of_domain line 276
non_canonical_subject line 277
invalid_symbol line 278
END SECTION III line 281
SECTION IV — STRUCTURAL VALIDATION line 289
Check compound structure: line 293
RULE line 301
Structure must satisfy: line 305
CONSTRAINT line 316
Invalid structures include: line 320
FAILURE line 331
over_assignment line 334
missing_primary line 335
duplicate_subject line 336
invalid_structure line 337
END SECTION IV line 340
SECTION V — TENET K COMPLIANCE line 348
Check: line 352
VALIDATION CONDITIONS line 360
RULE line 372
Classification must: line 376
CONSTRAINT line 384
AREPO S must reject: line 388
FAILURE line 398
subject_collapse line 401
ambiguous_identity line 402
tenet_violation line 403
END SECTION V line 406
SECTION VI — GATE ORDER COMPLIANCE line 414
Check: line 418
RULE line 429
Classification must: line 433
VALIDATION line 443
RATIONALE must demonstrate: line 447
CONSTRAINT line 456
AREPO S must reject: line 460

ANALOGIAE_EMBEDDED_PROTOCOL: version: 1.0.0-SK-ANALOGICAL-AREPO posture: CANONICAL_LOCAL_FACET / NO_AUTONOMOUS_ANALOGIAE_STACK authority: AREPO S remains the local subject admissibility authority gates: SUBJECT_GATE / TARGET_DOMAIN_GATE / TERMINI_COGNITI_GATE / SOURCE_FIELD_GATE / PRESERVED_RELATION_GATE / SUSPENDED_PROPERTY_GATE / TELOS_GATE / PROVENANCE_GATE / HISTORICAL_FRAME_GATE / SCOPE_GATE / LITERALIZATION_RISK_GATE / SOURCE_TARGET_NON_COLLAPSE_GATE / REPRESENTATION_OBJECT_GATE / PROXY_OBJECT_GATE / SPECIALIZED_COMPOSITION_HANDOFF_GATE local_emphasis: subject, source field, target domain, imago carrier, instrumental telos, representation, proxy, measure, and object must remain typed and distinct states: ADMIT / ADMIT_PROVISIONAL / ADMIT_WITH_WARNINGS / REQUEST_TERM_CLARIFICATION / REQUEST_SOURCE / BLOCK_LITERALIZATION / BLOCK_SOURCE_TARGET_COLLAPSE / BLOCK_HISTORICAL_DRIFT / BLOCK_PROXY_COLLAPSE / DEFER_TO_SPECIALIZED_COMPOSITION gate_result: every gate emits evidence / confidence / remediation stabilization_law: absent subject typing, preservation, suspension, provenance, or non-collapse cannot yield root stabilization semantic_supremacy: formal validity plus semantic inadmissibility equals blocked execution archived_carrier: no deferral or admission points to a retired Analogiae carrier LLULLIANA_PROTOCOL_SURFACE: version: 1.0.0-SK-SUBJECT-AREPO posture: EMBEDDED_LOCAL_FACET / DORMANT_UNLESS_SELECTED role: admit subject claims only when the subject, contraction field, instrument status, phase, source status, and Llulliana mode are resolved authority: AREPO S remains the local subject admissibility authority activation: protocol compatibility alone never grants execution non_coupling: no reverse dependency and no silent OPERA_LLULLIANA routing transitive_consumers: D / F / G / H / I require an actual admitted SK ancestry trace   ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Class: AREPO](#local-section-06-stack-sk-arepo-s-inputadmissibility-class-arepo) - [SECTION I — PURPOSE](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-i-purpose) - [CORE ASSERTION](#local-section-06-stack-sk-arepo-s-inputadmissibility-core-assertion) - [SECTION II — INPUT CONTRACT](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-ii-input-contract) - [PRECONDITION](#local-section-06-stack-sk-arepo-s-inputadmissibility-precondition) - [INTERPRETATION](#local-section-06-stack-sk-arepo-s-inputadmissibility-interpretation) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure) - [SECTION III — DOMAIN VALIDATION](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-iii-domain-validation) - [FORMAL](#local-section-06-stack-sk-arepo-s-inputadmissibility-formal) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-2) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-2) - [SECTION IV — STRUCTURAL VALIDATION](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-iv-structural-validation) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-2) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-3) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-3) - [SECTION V — TENET K COMPLIANCE](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-v-tenet-k-compliance) - [VALIDATION CONDITIONS](#local-section-06-stack-sk-arepo-s-inputadmissibility-validation-conditions) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-3) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-4) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-4) - [SECTION VI — GATE ORDER COMPLIANCE](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-vi-gate-order-compliance) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-4) - [VALIDATION](#local-section-06-stack-sk-arepo-s-inputadmissibility-validation) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-5) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-5) - [SECTION VII — COMPOUND CONSISTENCY](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-vii-compound-consistency) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-5) - [COMPATIBILITY](#local-section-06-stack-sk-arepo-s-inputadmissibility-compatibility) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-6) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-6) - [SECTION VIII — RATIONALE VALIDATION](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-viii-rationale-validation) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-6) - [CONSTRAINT](#local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-7) - [COMPLETENESS CONDITION](#local-section-06-stack-sk-arepo-s-inputadmissibility-completeness-condition) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-7) - [SECTION IX — OUTPUT ADMISSIBILITY](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-ix-output-admissibility) - [ADMISSIBLE](#local-section-06-stack-sk-arepo-s-inputadmissibility-admissible) - [REJECTED](#local-section-06-stack-sk-arepo-s-inputadmissibility-rejected) - [RULE](#local-section-06-stack-sk-arepo-s-inputadmissibility-rule-7) - [OUTPUT](#local-section-06-stack-sk-arepo-s-inputadmissibility-output) - [FAILURE](#local-section-06-stack-sk-arepo-s-inputadmissibility-failure-8) - [SECTION X — FINAL STATE](#local-section-06-stack-sk-arepo-s-inputadmissibility-section-x-final-state) - [FINAL STATE:](#local-section-06-stack-sk-arepo-s-inputadmissibility-final-state)  ============================================================ AREPO S — SUBSTRATE ADMISSIBILITY GATE Aligned to TENET K / ROTA S / OPERA S Version: 0.6.0-AREPO-S-CONTEXTUAL-CONTRACTION-ROOT-CONFORMANT Status: ADMISSIBILITY PROCEDURE / CONTEXTUAL-CONTRACTION-INTEGRATED / ROOT-CONFORMANT Authority: AREPO Scope: validation of substrate classification admissibility Mutation Policy: VERSION-CONTROLLED ONLY <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-class-arepo"></a> Class: AREPO ============================================================ END SECTION 0 — HEADER ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-i-purpose"></a> SECTION I — PURPOSE ============================================================ AREPO S validates whether a substrate classification emitted by OPERA S is admissible. ------------------------------------------------------------ AREPO S performs: • admissibility validation of σ • verification of domain compliance • enforcement of TENET K constraints • rejection of invalid substrate assignments ------------------------------------------------------------ AREPO S does NOT: • classify substrates (OPERA S) • define subjects (TENET K) • display subject ladder (ROTA S) • evaluate convergence (OPERA MAGNA) ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-core-assertion"></a> CORE ASSERTION ------------------------------------------------------------ No substrate classification is admissible unless: • σ ∈ DOMINIUM_SUBIECTORUM • σ respects TENET K constraints • σ is structurally coherent ============================================================ END SECTION I ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-ii-input-contract"></a> SECTION II — INPUT CONTRACT ============================================================ Given: OUTPUT_OPERA_S := { PRIMARY_SUBJECT, SECONDARY_SUBJECTS, RATIONALE } ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-precondition"></a> PRECONDITION ------------------------------------------------------------ OPERA_S(q) has been executed. ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-interpretation"></a> INTERPRETATION ------------------------------------------------------------ AREPO S treats input as: • candidate classification • subject assignment to be validated ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint"></a> CONSTRAINT ------------------------------------------------------------ AREPO S must not: • reinterpret q • modify σ • perform reclassification ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure"></a> FAILURE ------------------------------------------------------------ invalid_input_structure missing_fields precondition_violation ============================================================ END SECTION II ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-iii-domain-validation"></a> SECTION III — DOMAIN VALIDATION ============================================================ Check: σ ∈ DOMINIUM_SUBIECTORUM ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-formal"></a> FORMAL ------------------------------------------------------------ ∀ σᵢ ∈ Σ: σᵢ ∈ {B, C, D, E, F, G, H, I, K} ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule"></a> RULE ------------------------------------------------------------ All assigned substrates must: • belong to TENET K subject set • be canonical identifiers ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-2"></a> CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • non-canonical symbols • undefined subjects • inferred domain extensions ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-2"></a> FAILURE ------------------------------------------------------------ out_of_domain non_canonical_subject invalid_symbol ============================================================ END SECTION III ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-iv-structural-validation"></a> SECTION IV — STRUCTURAL VALIDATION ============================================================ Check compound structure: σ := σ₁ σ₂ σ₃ ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-2"></a> RULE ------------------------------------------------------------ Structure must satisfy: • |Σ| ≤ 3 • σ₁ exists • σ₂, σ₃ optional • no duplicates ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-3"></a> CONSTRAINT ------------------------------------------------------------ Invalid structures include: • |Σ| > 3 • empty primary subject • repeated subjects • unordered assignment ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-3"></a> FAILURE ------------------------------------------------------------ over_assignment missing_primary duplicate_subject invalid_structure ============================================================ END SECTION IV ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-v-tenet-k-compliance"></a> SECTION V — TENET K COMPLIANCE ============================================================ Check: compliance with TENET K constraints ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-validation-conditions"></a> VALIDATION CONDITIONS ------------------------------------------------------------ • subject distinction preserved • no subject collapse • no subject redefinition • hierarchy not violated (non-operational) ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-3"></a> RULE ------------------------------------------------------------ Classification must: respect ontological separation of subjects ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-4"></a> CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • merged subject identities • ambiguous subject boundaries • reinterpreted subject definitions ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-4"></a> FAILURE ------------------------------------------------------------ subject_collapse ambiguous_identity tenet_violation ============================================================ END SECTION V ============================================================ Continuing AREPO S — SUBSTRATE ADMISSIBILITY GATE (Sections VI–X). ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-vi-gate-order-compliance"></a> SECTION VI — GATE ORDER COMPLIANCE ============================================================ Check: OPERA S respected gate order: K → I → H → G → F → E → D → C → B ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-4"></a> RULE ------------------------------------------------------------ Classification must: • follow declared gate sequence • select σ based on first valid gate • not skip gates without justification ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-validation"></a> VALIDATION ------------------------------------------------------------ RATIONALE must demonstrate: • indicator alignment with selected gate • absence of higher-priority gate match ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-5"></a> CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • skipped valid gates • inverted order • post-hoc gate justification ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-5"></a> FAILURE ------------------------------------------------------------ gate_violation order_inversion justification_gap ============================================================ END SECTION VI ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-vii-compound-consistency"></a> SECTION VII — COMPOUND CONSISTENCY ============================================================ Check: internal consistency of compound substrates ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-5"></a> RULE ------------------------------------------------------------ For σ := σ₁ σ₂ σ₃: • σ₁ must dominate interpretation • σ₂, σ₃ must support σ₁ • no contradiction among σᵢ ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-compatibility"></a> COMPATIBILITY ------------------------------------------------------------ Valid compound must satisfy: concordant(σ₁, σ₂) concordant(σ₁, σ₃) ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-6"></a> CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • contradictory substrates • incoherent combinations • unordered hierarchy ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-6"></a> FAILURE ------------------------------------------------------------ compound_incoherence subject_conflict hierarchy_violation ============================================================ END SECTION VII ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-viii-rationale-validation"></a> SECTION VIII — RATIONALE VALIDATION ============================================================ Check: validity and completeness of RATIONALE ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-6"></a> RULE ------------------------------------------------------------ RATIONALE must: • reference heuristic indicators • map q → σ explicitly • justify primary subject selection ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-constraint-7"></a> CONSTRAINT ------------------------------------------------------------ RATIONALE must not: • include conclusions • include answers to q • contain ambiguity ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-completeness-condition"></a> COMPLETENESS CONDITION ------------------------------------------------------------ RATIONALE is complete iff: indicators(q) are mapped to σ gates ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-7"></a> FAILURE ------------------------------------------------------------ missing_rationale ambiguous_reasoning answer_leakage ============================================================ END SECTION VIII ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-ix-output-admissibility"></a> SECTION IX — OUTPUT ADMISSIBILITY ============================================================ ADMISSIBILITY_STATUS ∈ { ADMISSIBLE, REJECTED } ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-admissible"></a> ADMISSIBLE ------------------------------------------------------------ All conditions satisfied: • domain valid • structure valid • TENET K compliant • gate order respected • compound consistent • rationale valid ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rejected"></a> REJECTED ------------------------------------------------------------ Any condition fails. ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-rule-7"></a> RULE ------------------------------------------------------------ No partial admissibility allowed. ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-output"></a> OUTPUT ------------------------------------------------------------ { status: ADMISSIBLE | REJECTED, failure_reasons: [if any], validated_subjects: σ } ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-failure-8"></a> FAILURE ------------------------------------------------------------ partial_acceptance silent_failure ambiguous_status ============================================================ END SECTION IX ============================================================ ============================================================ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-section-x-final-state"></a> SECTION X — FINAL STATE ============================================================ SECTION X-A -- SUBJECT CONTEXTUAL CONTRACTION ADMISSIBILITY ============================================================ AREPO S admits subject contextual contraction only as a bounded interpretive articulation over canonical TENET K subjects. The SK specialization is local to this artifact. The Root Class Law named in the development comment governs by canonical scope and is not loaded or called as an external carrier. No archived CC artifact participates in admission. COMBINATORIAL EXECUTION PACKET: EXECUTION_CLASS_SET := ⟨TENET, ROTAS, AREPO, OPERA, SATOR⟩ When execution is requested, AREPO S requires: all five class roles resolved one explicit source artifact and version per role order TENET → ROTAS → AREPO → OPERA → SATOR pairwise compatibility for the requested operation no unresolved authority collision no empty class stub The five roles may originate in different admitted stacks or modules. AREPO S validates the proposed combination; it does not select, invent, or silently replace a class carrier. INPUT FORM: X ⟨ Y ⟩ Where: X = articulated subject-aspect Y = subject-context Admissible examples: Imaginatio ⟨ Homo ⟩ Sensitivum ⟨ Homo ⟩ Elementativum ⟨ Homo ⟩ Elementativum ⟨ Sensitivum ⟩ Imaginatio ⟨ Deus ⟩ Angelus ⟨ Homo ⟩ AREPO S admits X ⟨ Y ⟩ iff: X ∈ DOMINIUM_SUBIECTORUM Y ∈ DOMINIUM_SUBIECTORUM X and Y are canonical subject identifiers or resolvable labels X and Y resolve through ALIAS_K direction is explicit subject ordinals are preserved contraction is marked as contextual articulation contraction does not create a new subject contraction does not replace σ classification σ retains one primary subject and |Σ| ≤ 3 Instrumentativum preserves natural and moral regimes virtues, vices, and habits remain generated instrumental species analogy, if present, is explicitly declared OUTPUT_AREPO_S may include: { status, failure_reasons, validated_subjects: σ, class_composition: { TENET: {source_artifact, source_version}, ROTAS: {source_artifact, source_version}, AREPO: {source_artifact, source_version}, OPERA: {source_artifact, source_version}, SATOR: {source_artifact, source_version}, compatibility_basis, decision: ADMISSIBLE | REJECTED }, contextual_contractions: [ { expression: X ⟨ Y ⟩, articulated_subject: X, subject_context: Y, direction: Y → X, grouping, path, role: INTERPRETIVE_ARTICULATION, admissibility: ADMISSIBLE | REJECTED, relation_profile: R' | UNDECLARED, analogy_status: NONE | DECLARED, notes } ] } Reject contextual contraction when: X is not canonical or resolvable Y is not canonical or resolvable direction is ambiguous expression is used as new subject expression replaces primary substrate assignment expression bypasses |Σ| ≤ 3 expression collapses X into Y Instrumentativum is reduced to tool instrumental species is reified as a subject expression asserts analogy without context nesting is introduced without explicit request any class role is unresolved class sources are compositionally incompatible Failure: invalid_contextual_subject context_direction_ambiguous contextual_subject_reification substrate_replacement implicit_analogy uncontrolled_subject_nesting subject_cardinality_bypass instrument_reduction instrumental_species_reification class_composition_incomplete class_authority_collision class_combination_incompatible If ambiguity remains: INSUFFICIENT ADMISSIBILITY ============================================================ END SECTION X-A ============================================================ ============================================================ AREPO S defines the canonical admissibility gate for substrate classification. ------------------------------------------------------------ It guarantees: • valid subject assignment • compliance with TENET K • integrity of OPERA S output • elimination of invalid classifications ------------------------------------------------------------ It enforces: • explicit validation • zero reclassification • zero inference beyond validation ------------------------------------------------------------ <a id="local-section-06-stack-sk-arepo-s-inputadmissibility-final-state"></a> FINAL STATE: AREPO S — READY FOR CONTROL-PLANE VALIDATION ============================================================ END AREPO S ============================================================