06_STACK_SK/AREPO_S_InputAdmissibility.md

Page Sections

## LOCAL SECTION INDEX line 2
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 4
Aligned to TENET K / ROTA S / OPERA S line 56
Version: 0.4.0-AREPO-S-CONTEXTUAL-CONTRACTION line 57
Status: ADMISSIBILITY PROCEDURE / CONTEXTUAL-CONTRACTION-INTEGRATED line 58
Authority: AREPO line 59
Scope: validation of substrate classification admissibility line 60
Mutation Policy: VERSION-CONTROLLED ONLY line 61
Class: AREPO line 65
SECTION I — PURPOSE line 75
AREPO S validates whether a substrate classification line 78
emitted by OPERA S is admissible. line 79
AREPO S performs: line 84
AREPO S does NOT: line 94
CORE ASSERTION line 105
No substrate classification is admissible unless: line 109
END SECTION I line 116
SECTION II — INPUT CONTRACT line 124
Given: line 128
PRECONDITION line 141
OPERA_S(q) has been executed. line 144
INTERPRETATION line 150
AREPO S treats input as: line 154
CONSTRAINT line 163
AREPO S must not: line 167
FAILURE line 177
invalid_input_structure line 180
missing_fields line 181
precondition_violation line 182
END SECTION II line 185
SECTION III — DOMAIN VALIDATION line 193
Check: line 197
FORMAL line 205
RULE line 216
All assigned substrates must: line 220
CONSTRAINT line 229
AREPO S must reject: line 233
FAILURE line 243
out_of_domain line 246
non_canonical_subject line 247
invalid_symbol line 248
END SECTION III line 251
SECTION IV — STRUCTURAL VALIDATION line 259
Check compound structure: line 263
RULE line 271
Structure must satisfy: line 275
CONSTRAINT line 286
Invalid structures include: line 290
FAILURE line 301
over_assignment line 304
missing_primary line 305
duplicate_subject line 306
invalid_structure line 307
END SECTION IV line 310
SECTION V — TENET K COMPLIANCE line 318
Check: line 322
VALIDATION CONDITIONS line 330
RULE line 342
Classification must: line 346
CONSTRAINT line 354
AREPO S must reject: line 358
FAILURE line 368
subject_collapse line 371
ambiguous_identity line 372
tenet_violation line 373
END SECTION V line 376
SECTION VI — GATE ORDER COMPLIANCE line 384
Check: line 388
RULE line 399
Classification must: line 403
VALIDATION line 413
RATIONALE must demonstrate: line 417
CONSTRAINT line 426
AREPO S must reject: line 430
FAILURE line 440
gate_violation line 443
order_inversion line 444
justification_gap line 445
END SECTION VI line 448
SECTION VII — COMPOUND CONSISTENCY line 455

## 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: 0.4.0-AREPO-S-CONTEXTUAL-CONTRACTION Status: ADMISSIBILITY PROCEDURE / CONTEXTUAL-CONTRACTION-INTEGRATED 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. 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 direction is explicit contraction is marked as contextual articulation contraction does not create a new subject contraction does not replace σ classification analogy, if present, is explicitly declared OUTPUT_AREPO_S may include: { status, failure_reasons, validated_subjects: σ, contextual_contractions: [ { expression: X ⟨ Y ⟩, articulated_subject: X, subject_context: Y, admissibility: ADMISSIBLE | REJECTED, relation_profile: R' | UNDECLARED, 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 collapses X into Y expression asserts analogy without context nesting is introduced without explicit request Failure: invalid_contextual_subject context_direction_ambiguous contextual_subject_reification substrate_replacement implicit_analogy uncontrolled_subject_nesting 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 ============================================================