============================================================ SIGMA_SATOR KERNEL BUNDLE AGLA / DEPLOYMENT LAYER Version: 1.0.0-SIGMA-SATOR-GENERATED-2026-04-30 Status: VALID_SIGMA_SATOR_KERNEL Date: 2026-04-30 Authority: AGLA / CONTROL PLANE / HUMAN DEVELOPER DIRECTIVE Class: AGLA / MACROCLASS (SIGMA_SATOR) Kernel_ID: SIGMA_SATOR_SK Regime: SK Stack_Folder: 06_STACK_SK Selected_OPERA: IDX-OPERA-S Source_Class_Law: 00_ROOT_CLASS_LAWS/AGLA_SIGMA_SATOR_CLASS_LAW.md Mutation Policy: GENERATED FILE ONLY; SOURCE STACK ARTIFACTS NOT MUTATED ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [KERNEL_LIFECYCLE:](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-kernel-lifecycle) - [CLASS_MAPPING:](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-class-mapping) - [VALIDATION:](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-validation) - [NON_COMPRESSION_ASSERTION:](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-non-compression-assertion) - [SOURCE_ARTIFACT_MANIFEST:](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-source-artifact-manifest) - [EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION](#local-section-99-sigma-sator-output-sigma-sator-sk-sigma-sator-sk-kernel-embedded-class-artifacts-full-verbatim-reproduction) KERNEL_LIFECYCLE: LOAD -> RESOLVE -> BIND -> ADMIT -> EXECUTE -> RETURN CLASS_MAPPING: LOAD / RESOLVE / BIND: TENET + ROTAS ADMIT: AREPO EXECUTE: OPERA RETURN: SATOR VALIDATION: all_five_classes_present: TRUE all_five_classes_non_empty: TRUE full_verbatim_embedding_attempted: TRUE kernel_valid: TRUE NON_COMPRESSION_ASSERTION: EMBEDDED ARTIFACT CONTENT BELOW IS INSERTED VERBATIM FROM SOURCE FILES. NO SOURCE STACK ARTIFACT WAS REWRITTEN BY THIS ASSEMBLY. IF A REQUIRED CLASS IS MISSING OR EMPTY, THIS KERNEL IS INVALID UNTIL PATCHED BY HUMAN DEVELOPER AUTHORITY. SOURCE_ARTIFACT_MANIFEST: - class: TENET file: 06_STACK_SK/TENET_K_DoctrinalInvariants.md exists: TRUE non_empty: TRUE bytes: 38244 sha256: 9b07a90a83d565c95e6628d3bcc454615d64f6ed4b5f886cfb42152464376997 - class: ROTAS file: 06_STACK_SK/ROTAS_S_StructuralInstantiation.md exists: TRUE non_empty: TRUE bytes: 18470 sha256: c13ecefdcdbfe7a7888f9371aeb3052d06bb93c4cacf2d0b1fe768956fc269b1 - class: AREPO file: 06_STACK_SK/AREPO_S_InputAdmissibility.md exists: TRUE non_empty: TRUE bytes: 21395 sha256: 1d4cb8663c24d53d79e78b619be5442309a0356cc6a212c1766712d41e375a71 - class: OPERA file: 06_STACK_SK/OPERA_S_ExecutionMechanism.md exists: TRUE non_empty: TRUE bytes: 42435 sha256: 0bccd2d90802dd5b1e2d5a85091acd12435ee75127235f63f465306289d1ad62 - class: SATOR file: 06_STACK_SK/SATOR_S_OutputRequirements.md exists: TRUE non_empty: TRUE bytes: 21596 sha256: 6a9ef0471b63a0161ec7eeab9886a1271c01e48a8af27882c1fbc8953eda675c ============================================================ EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: TENET Source_File: 06_STACK_SK/TENET_K_DoctrinalInvariants.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 38244 Source_SHA256: 9b07a90a83d565c95e6628d3bcc454615d64f6ed4b5f886cfb42152464376997 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Class: TENET](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-class-tenet) - [SECTION I — PRINCIPLE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-i-principle) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint) - [SECTION II — SEMANTIC REGISTRY BINDING](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-ii-semantic-registry-binding) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-2) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule) - [SECTION III — ORDINAL STRUCTURAL PRIMACY](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-iii-ordinal-structural-primacy) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-3) - [SECTION IV — NUMERIC BINDING](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-iv-numeric-binding) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-4) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-2) - [SECTION V — LETTER EQUIVALENCE RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-v-letter-equivalence-rule) - [INTERPRETATION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-interpretation) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-5) - [SECTION VI — ONTOLOGICAL ORDER](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-vi-ontological-order) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-6) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-3) - [SECTION VII — SUBSTRATE REDUCTION RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-vii-substrate-reduction-rule) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-4) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-7) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure) - [SECTION VIII — MULTI-SUBSTRATE CONDITION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-viii-multi-substrate-condition) - [FORMAL](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-formal) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-5) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-2) - [SECTION IX — COMPOUND SUBSTRATE RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-ix-compound-substrate-rule) - [DEFINITION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-definition) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-8) - [NOTE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-note) - [SECTION X — ELEMENTAL RELATIVITY RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-x-elemental-relativity-rule) - [DEFINITION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-definition-2) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-6) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-9) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-3) - [SECTION XI — DEFAULT RESOLUTION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xi-default-resolution) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-7) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-10) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-4) - [SECTION XII — SUBJECT CONDITIONS](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xii-subject-conditions) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-8) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-11) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-5) - [SECTION XIII — RELATION TO OTHER TENETS](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xiii-relation-to-other-tenets) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-9) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-12) - [SECTION XIV — LAYER SEPARATION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xiv-layer-separation) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-10) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-13) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-6) - [SECTION XV — INSTRUMENTATIVUM EXPANSION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xv-instrumentativum-expansion) - [DEFINITION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-definition-3) - [REGIMES](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-regimes) - [GENERATED SPECIES](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-generated-species) - [CORRELATIVE STRUCTURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-correlative-structure) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-14) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-7) - [SECTION XVI — SUBJECT ACCESS THROUGH MIXTURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xvi-subject-access-through-mixture) - [FORMAL](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-formal-2) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-11) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-15) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-8) - [SECTION XVII — SUBJECT FUNCTION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xvii-subject-function) - [FUNCTION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-function) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-12) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-16) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-9) - [SECTION XVIII — NON-ONTOLOGY GUARANTEE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xviii-non-ontology-guarantee) - [PROHIBITIONS](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-prohibitions) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-13) - [CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-constraint-17) - [FAILURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-failure-10) - [SECTION XIX — GLOBAL CONSTRAINT](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xix-global-constraint) - [NON-SUBSTITUTION RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-non-substitution-rule) - [GLOBAL INVALIDATION](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-global-invalidation) - [RULE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-rule-14) - [SECTION XX — CLOSURE](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-section-xx-closure) - [RELATION LAW](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-relation-law) - [FINAL STATE:](#local-section-06-stack-sk-tenet-k-doctrinalinvariants-final-state) ============================================================ TENET K — SUBIECTA / SUBSTRATA REGIME Ars Generalis Applied Version: 1.0.1-TENET-K-MAGNUM-NORMALIZED Status: CANONICAL-CANDIDATE / STRUCTURAL REGIME Authority: TENET Scope: Substrate (subject) regime Mutation Policy: VERSION-CONTROLLED ONLY Class: TENET ============================================================ END SECTION 0 — HEADER ============================================================ ============================================================ SECTION I — PRINCIPLE ============================================================ TENET K defines the regime governing the Subjects (Subiecta / Substrata) used by the Art. Subjects are ontological domains of reference to which discourse may belong. Subjects are not answers. Subjects are the substrata to which: • principia (TENET A) • relations (TENET T) are applied. ------------------------------------------------------------ Subjects are: • epistemically accessed through mixture • ontologically presupposed as a closed set • combinatorially open in expression ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Subjects must not: • be generated by execution • be modified by OPERA • be inferred from traversal ============================================================ END SECTION I ============================================================ ============================================================ SECTION II — SEMANTIC REGISTRY BINDING ============================================================ All Subjects defined in TENET K are: • registered semantic carriers • bound to TENET B registry discipline • invariant under naming variation ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • each subject resolves to a single registry identity • no aliasing may introduce semantic ambiguity • no subject may exist outside registry mapping ------------------------------------------------------------ RULE ------------------------------------------------------------ Semantic identity is: • stable • non-contextual • non-derived ============================================================ END SECTION II ============================================================ ============================================================ SECTION III — ORDINAL STRUCTURAL PRIMACY ============================================================ Carrier: SUBJECT_ORDINAL_SLOT := {Ⅰ..Ⅸ} ------------------------------------------------------------ Mapping (BETICAL + numeric reference): Ⅰ → B → Deus Ⅱ → C → Angelus Ⅲ → D → Caelum Ⅳ → E → Homo Ⅴ → F → Imaginatio Ⅵ → G → Sensitivum / Animal Ⅶ → H → Vegetativum Ⅷ → I → Elementativum Ⅸ → K → Instrumentativum ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • ORDINAL_SLOT is the structural carrier • BETICAL symbol is mnemonic selector • ordinal precedence is absolute • no reordering permitted ============================================================ END SECTION III ============================================================ ============================================================ SECTION IV — NUMERIC BINDING ============================================================ Each BETICAL carrier is bound to a cardinal value: B → 2 C → 3 D → 4 E → 5 F → 6 G → 7 H → 8 I → 9 J/K → 10 ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • numeric values are reference bindings only • numeric mapping must not alter ontology • ordinal slot remains primary ------------------------------------------------------------ RULE ------------------------------------------------------------ Numeric values: • support ordering reference • do not introduce computation ============================================================ END SECTION IV ============================================================ ============================================================ SECTION V — LETTER EQUIVALENCE RULE ============================================================ J ≡ K ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ • both map to Instrumentativum • both resolve to ordinal slot Ⅸ • both share numeric value 10 ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • no semantic distinction permitted • usage variation must not affect classification • equivalence is structural, not contextual ============================================================ END SECTION V ============================================================ Continuing TENET K serialization. ============================================================ SECTION VI — ONTOLOGICAL ORDER ============================================================ Descending ontological ladder: Deus Angelus Caelum Homo Imaginatio Sensitivum / Animal Vegetativum Elementativum Instrumentativum ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ This order is: • ontological • non-operational • non-executable ------------------------------------------------------------ RULE ------------------------------------------------------------ Ontological order must not be used as: • gate order • execution sequence • classification logic ============================================================ END SECTION VI ============================================================ ============================================================ SECTION VII — SUBSTRATE REDUCTION RULE ============================================================ Any discourse must be reducible to one or more Subjects. ------------------------------------------------------------ RULE ------------------------------------------------------------ If a domain appears new: → reduce to nearest canonical Subject ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • no new subjects may be introduced • reduction must preserve semantic integrity • reduction must not collapse distinct domains ------------------------------------------------------------ FAILURE ------------------------------------------------------------ subject_inflation invalid_reduction semantic_collapse ============================================================ END SECTION VII ============================================================ ============================================================ SECTION VIII — MULTI-SUBSTRATE CONDITION ============================================================ A discourse may involve multiple Subjects. ------------------------------------------------------------ FORMAL ------------------------------------------------------------ Let: Σ := set of active Subjects Constraint: |Σ| ≤ 3 ------------------------------------------------------------ RULE ------------------------------------------------------------ • at least one primary substrate must exist • additional substrates must be justified • no arbitrary expansion permitted ------------------------------------------------------------ FAILURE ------------------------------------------------------------ over-substration unbounded_subject_set ambiguous_primary ============================================================ END SECTION VIII ============================================================ ============================================================ SECTION IX — COMPOUND SUBSTRATE RULE ============================================================ Compound structure: σ := σ₁ σ₂ σ₃ ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ σ₁ = primary substrate σ₂ = secondary substrate σ₃ = tertiary substrate ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • σ₁ must be unique • σ₂, σ₃ are optional • ordering must reflect dependency relevance ------------------------------------------------------------ NOTE ------------------------------------------------------------ F (Imaginatio) frequently acts as mediator in symbolic / formal / representational discourse ============================================================ END SECTION IX ============================================================ ============================================================ SECTION X — ELEMENTAL RELATIVITY RULE ============================================================ Elementativum (I) denotes relative partitivity. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ element(level_x) := relative substrate(level_x) ------------------------------------------------------------ RULE ------------------------------------------------------------ • element ≠ absolute primitive • element = compositional role within context ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • a subject may be: whole in one context element in another • no absolute minimal ontology is implied ------------------------------------------------------------ FAILURE ------------------------------------------------------------ absolute_atomization context_loss ontological_flattening ============================================================ END SECTION X ============================================================ Continuing TENET K serialization. ============================================================ SECTION XI — DEFAULT RESOLUTION ============================================================ If substrate cannot be determined: σ := F (Imaginatio) ------------------------------------------------------------ RULE ------------------------------------------------------------ • representation precedes ontological determination • symbolic domains default to F unless resolved otherwise ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • fallback must be explicit • fallback must not be treated as final classification ------------------------------------------------------------ FAILURE ------------------------------------------------------------ silent_fallback false_determination unjustified_assignment ============================================================ END SECTION XI ============================================================ ============================================================ SECTION XII — SUBJECT CONDITIONS ============================================================ Application must preserve: • subject definition • subject distinction • inter-subject concordance • ontological hierarchy ------------------------------------------------------------ RULE ------------------------------------------------------------ No operation may: • merge subjects without justification • erase subject boundaries • invert ontological relations ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All discourse must: • respect subject identity • maintain cross-subject coherence ------------------------------------------------------------ FAILURE ------------------------------------------------------------ subject_collapse hierarchy_violation discordant_application ============================================================ END SECTION XII ============================================================ ============================================================ SECTION XIII — RELATION TO OTHER TENETS ============================================================ TENET K operates in coordination with: TENET A → principia TENET T → relations TENET E → rules / interrogative carriers TENET B → semantic registry TENET D → articulation layer ------------------------------------------------------------ RULE ------------------------------------------------------------ • TENET K defines substrate space • other TENETS operate over that space ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • no TENET may redefine substrate canon • no cross-tenet collapse permitted ============================================================ END SECTION XIII ============================================================ ============================================================ SECTION XIV — LAYER SEPARATION ============================================================ Layer roles: TENET K → defines substrate canon ROTA S → displays substrate structure OPERA S → classifies discourse into substrates ------------------------------------------------------------ RULE ------------------------------------------------------------ No cross-layer collapse permitted. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • TENET K must not classify • ROTA S must not interpret • OPERA S must not redefine ------------------------------------------------------------ FAILURE ------------------------------------------------------------ layer_collapse role_violation classification_leak ============================================================ END SECTION XIV ============================================================ ============================================================ SECTION XV — INSTRUMENTATIVUM EXPANSION ============================================================ K — Instrumentativum denotes operative mediation. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ INSTRUMENTATIVUM := that by which a subject operates within a principial configuration ------------------------------------------------------------ REGIMES ------------------------------------------------------------ • NATURAL instruments (organs, faculties, tools) • MORAL instruments (virtues, vices, habits) ------------------------------------------------------------ GENERATED SPECIES ------------------------------------------------------------ Virtues and vices are: • not subjects • not principles • generated instrumental species ------------------------------------------------------------ CORRELATIVE STRUCTURE ------------------------------------------------------------ For each instrument i: correlatives(i) := {agent, patient, act} ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • Instrumentativum must not be reduced to "tool" • moral and natural regimes must be preserved • no flattening of instrumental domain permitted ------------------------------------------------------------ FAILURE ------------------------------------------------------------ instrument_reduction moral_loss correlative_erasure ============================================================ END SECTION XV ============================================================ Continuing TENET K serialization — final batch. ============================================================ SECTION XVI — SUBJECT ACCESS THROUGH MIXTURE ============================================================ Subjects are structurally closed and combinatorially explorable. ------------------------------------------------------------ FORMAL ------------------------------------------------------------ access(S) := MIX(P, R) Where: P := {A, T} R := rules ------------------------------------------------------------ RULE ------------------------------------------------------------ • subjects are accessed epistemically through mixture • mixture does not generate ontological domains ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ access ≠ generate_being ------------------------------------------------------------ FAILURE ------------------------------------------------------------ ontological_generation invalid_access mixture_confusion ============================================================ END SECTION XVI ============================================================ ============================================================ SECTION XVII — SUBJECT FUNCTION ============================================================ Subjects define the universal domain of discourse. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ Subjects: • contain all ontological reference domains • receive principial application • support relational articulation • enable combinatorial expression ------------------------------------------------------------ RULE ------------------------------------------------------------ All discourse must: • be grounded in at least one subject • respect subject constraints ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No discourse may exist: • outside subject space • without substrate anchoring ------------------------------------------------------------ FAILURE ------------------------------------------------------------ substrate_absence invalid_domain ungrounded_discourse ============================================================ END SECTION XVII ============================================================ ============================================================ SECTION XVIII — NON-ONTOLOGY GUARANTEE ============================================================ TENET K defines ontological domains of reference. ------------------------------------------------------------ PROHIBITIONS ------------------------------------------------------------ TENET K does NOT: • perform classification • execute operations • produce propositions • assert existential truth • resolve ambiguity ------------------------------------------------------------ RULE ------------------------------------------------------------ • classification belongs to OPERA S • exposure belongs to ROTA S • TENET K remains purely structural ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • no inference may originate from TENET K alone • no operational behavior may be derived from TENET K ------------------------------------------------------------ FAILURE ------------------------------------------------------------ ontology_execution_leak classification_from_tenet semantic_overreach ============================================================ END SECTION XVIII ============================================================ ============================================================ SECTION XIX — GLOBAL CONSTRAINT ============================================================ All rules defined in TENET K must be satisfied simultaneously. ------------------------------------------------------------ NON-SUBSTITUTION RULE ------------------------------------------------------------ No condition may substitute another. • reduction ≠ classification • ontology ≠ operation • mapping ≠ execution ------------------------------------------------------------ GLOBAL INVALIDATION ------------------------------------------------------------ Failure of any condition: → invalidates substrate integrity ------------------------------------------------------------ RULE ------------------------------------------------------------ Substrate regime must remain: • closed • finite • non-mutating • structurally invariant ============================================================ END SECTION XIX ============================================================ ============================================================ SECTION XX — CLOSURE ============================================================ TENET K establishes the universal substrate regime for AGLA. ------------------------------------------------------------ It guarantees: • finite ontological domain set • strict subject distinction • hierarchical organization • compatibility with principial regimes • epistemic access through mixture • preservation of instrumental domain ------------------------------------------------------------ It enforces: • no subject creation • no ontological drift • no execution leakage • no cross-layer collapse ------------------------------------------------------------ RELATION LAW ------------------------------------------------------------ TENET K → defines substrates ROTA S → displays substrates OPERA S → classifies substrates ------------------------------------------------------------ FINAL STATE: TENET K — CANONICAL-CANDIDATE / STRUCTURAL REGIME ============================================================ END TENET K ============================================================ TENET K fully serialized and reissued. Ready for: CAPUT integrity confirmation (already satisfied) GLOBAL CONTROL-PLANE validation SYSTEM_INDEX registration (pending approval) END_VERBATIM_ARTIFACT: TENET ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: ROTAS Source_File: 06_STACK_SK/ROTAS_S_StructuralInstantiation.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 18470 Source_SHA256: c13ecefdcdbfe7a7888f9371aeb3052d06bb93c4cacf2d0b1fe768956fc269b1 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Class: ROTAS](#local-section-06-stack-sk-rotas-s-structuralinstantiation-class-rotas) - [SECTION I — PRINCIPLE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-i-principle) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule) - [SECTION II — CARRIER STRUCTURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-ii-carrier-structure) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-2) - [SECTION III — SUBJECT CARRIERS](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-iii-subject-carriers) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-2) - [SECTION IV — TRAVERSAL SIGNATURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-iv-traversal-signature) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-3) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-3) - [SECTION V — DISPLAY CONTRACT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-v-display-contract) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-4) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-4) - [FAILURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-failure) - [SECTION VI — RELATION TO TENET K](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-vi-relation-to-tenet-k) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-5) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-5) - [FORMAL RELATION](#local-section-06-stack-sk-rotas-s-structuralinstantiation-formal-relation) - [FAILURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-failure-2) - [SECTION VII — RELATION TO OPERA S](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-vii-relation-to-opera-s) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-6) - [ROTA S:](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rota-s) - [OPERA S:](#local-section-06-stack-sk-rotas-s-structuralinstantiation-opera-s) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-6) - [INTERFACE CONTRACT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-interface-contract) - [FAILURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-failure-3) - [SECTION VIII — SYSTEM_INDEX COMPATIBILITY](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-viii-system-index-compatibility) - [REGISTER](#local-section-06-stack-sk-rotas-s-structuralinstantiation-register) - [FIELDS](#local-section-06-stack-sk-rotas-s-structuralinstantiation-fields) - [CONSTRAINT](#local-section-06-stack-sk-rotas-s-structuralinstantiation-constraint-7) - [FAILURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-failure-4) - [SECTION IX — CLASS BOUNDARY LAW](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-ix-class-boundary-law) - [ALLOWED](#local-section-06-stack-sk-rotas-s-structuralinstantiation-allowed) - [FORBIDDEN](#local-section-06-stack-sk-rotas-s-structuralinstantiation-forbidden) - [RULE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-rule-7) - [FAILURE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-failure-5) - [SECTION X — FINAL STATE](#local-section-06-stack-sk-rotas-s-structuralinstantiation-section-x-final-state) - [FINAL STATE:](#local-section-06-stack-sk-rotas-s-structuralinstantiation-final-state) ============================================================ ROTA S — SUBJECT LADDER DISPLAY Ars Generalis Applied Version: 1.0.0-ROTA-S-MAGNUM-NORMALIZED Status: CANONICAL-CANDIDATE / ROTAS Authority: TENET Scope: Substrate display layer Mutation Policy: VERSION-CONTROLLED ONLY Class: ROTAS ============================================================ END SECTION 0 — HEADER ============================================================ ============================================================ SECTION I — PRINCIPLE ============================================================ ROTA S exposes the canonical subject carriers defined by TENET K. ROTA S is: • structural • non-executive • non-interpretative • carrier-based ------------------------------------------------------------ ROTA S does not: • classify • evaluate • infer • transform ------------------------------------------------------------ RULE ------------------------------------------------------------ ROTA S must only expose: ordered subject carriers ============================================================ END SECTION I ============================================================ ============================================================ SECTION II — CARRIER STRUCTURE ============================================================ ROTA_S_CARRIER := { ORDINAL_SLOT, BETICAL_SYMBOL, SUBJECT_LABEL, DOMAIN_DESCRIPTOR } ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • ORDINAL_SLOT is primary carrier • BETICAL_SYMBOL is selector • SUBJECT_LABEL is canonical name • DOMAIN_DESCRIPTOR is descriptive only ------------------------------------------------------------ RULE ------------------------------------------------------------ Carrier structure must be: • explicit • non-ambiguous • SYSTEM_INDEX resolvable ============================================================ END SECTION II ============================================================ ============================================================ SECTION III — SUBJECT CARRIERS ============================================================ Ⅰ | B | Deus | Divine Being Ⅱ | C | Angelus | Separated Intellect Ⅲ | D | Caelum | Cosmic Order Ⅳ | E | Homo | Human Composite Ⅴ | F | Imaginatio | Representation Ⅵ | G | Sensitivum | Perception / Behavior Ⅶ | H | Vegetativum | Organic Growth Ⅷ | I | Elementativum | Relative Material Constitution Ⅸ | K | Instrumentativum | Operative Mediation (Natural + Moral) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • ordering must match TENET K • no omission permitted • no reordering permitted ============================================================ END SECTION III ============================================================ ============================================================ SECTION IV — TRAVERSAL SIGNATURE ============================================================ Traversal signature: B → C → D → E → F → G → H → I → K → B ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ • traversal is structural only • traversal is not executable • traversal does not imply ordering priority ------------------------------------------------------------ RULE ------------------------------------------------------------ Traversal must not be interpreted as: • gate order • classification order • evaluation sequence ============================================================ END SECTION IV ============================================================ ============================================================ SECTION V — DISPLAY CONTRACT ============================================================ DISPLAY(ROTA S) := expose(ordered SUBJECT_CARRIERS) ------------------------------------------------------------ RULE ------------------------------------------------------------ Display must: • expose all carriers • preserve order • avoid selection ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Display must not: • classify • filter • prioritize • infer ------------------------------------------------------------ FAILURE ------------------------------------------------------------ partial_display implicit_selection display_inference ============================================================ END SECTION V ============================================================ Continuing ROTA S serialization (Sections VI–X). ============================================================ SECTION VI — RELATION TO TENET K ============================================================ ROTA S is strictly derived from TENET K. ------------------------------------------------------------ RULE ------------------------------------------------------------ ROTA S must: • mirror TENET K subject canon • preserve ordinal structure • preserve subject identity ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA S must not: • redefine subjects • reinterpret domains • introduce variation ------------------------------------------------------------ FORMAL RELATION ------------------------------------------------------------ ROTA_S := DISPLAY(TENET_K.SUBJECT_SET) ------------------------------------------------------------ FAILURE ------------------------------------------------------------ tenet_mismatch subject_redefinition carrier_misalignment ============================================================ END SECTION VI ============================================================ ============================================================ SECTION VII — RELATION TO OPERA S ============================================================ ROTA S provides structural support for OPERA S. ------------------------------------------------------------ RULE ------------------------------------------------------------ ROTA S: • exposes subject space OPERA S: • navigates subject space ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA S must not: • perform classification • anticipate OPERA S output ------------------------------------------------------------ INTERFACE CONTRACT ------------------------------------------------------------ OPERA S input domain: DOMINIUM_SUBIECTORUM := ROTA S carriers ------------------------------------------------------------ FAILURE ------------------------------------------------------------ classification_leak anticipatory_inference execution_overlap ============================================================ END SECTION VII ============================================================ ============================================================ SECTION VIII — SYSTEM_INDEX COMPATIBILITY ============================================================ ROTA S must be index-resolvable. ------------------------------------------------------------ REGISTER ------------------------------------------------------------ IDX-ROTA-S ------------------------------------------------------------ FIELDS ------------------------------------------------------------ type: ROTAS carrier_type: SUBJECT_CARRIER_SET dependency: • TENET_K acyclic: TRUE resolvable: TRUE ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA S must not: • depend on OPERA • depend on AREPO • depend on SATOR ------------------------------------------------------------ FAILURE ------------------------------------------------------------ hidden_dependency index_unresolved cycle_detected ============================================================ END SECTION VIII ============================================================ ============================================================ SECTION IX — CLASS BOUNDARY LAW ============================================================ ROTA S must remain strictly within ROTAS domain. ------------------------------------------------------------ ALLOWED ------------------------------------------------------------ ✓ display carriers ✓ preserve structure ✓ expose ordering ------------------------------------------------------------ FORBIDDEN ------------------------------------------------------------ ✗ classification (OPERA) ✗ admissibility (AREPO) ✗ principial definition (TENET) ✗ mediation (SATOR) ------------------------------------------------------------ RULE ------------------------------------------------------------ ROTA S must never: cross into execution or evaluation layers ------------------------------------------------------------ FAILURE ------------------------------------------------------------ rotas_violation execution_leak cross_class_intrusion ============================================================ END SECTION IX ============================================================ ============================================================ SECTION X — FINAL STATE ============================================================ ROTA S defines the canonical structural exposure of the subject domain. ------------------------------------------------------------ It guarantees: • complete subject visibility • stable carrier structure • alignment with TENET K • support for OPERA S classification ------------------------------------------------------------ It enforces: • zero inference • zero execution • zero mutation ------------------------------------------------------------ FINAL STATE: ROTA S — READY FOR CONTROL-PLANE VALIDATION ============================================================ END ROTA S ============================================================ END_VERBATIM_ARTIFACT: ROTAS ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: AREPO Source_File: 06_STACK_SK/AREPO_S_InputAdmissibility.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 21395 Source_SHA256: 1d4cb8663c24d53d79e78b619be5442309a0356cc6a212c1766712d41e375a71 ------------------------------------------------------------ ## 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: 0.3.0-AREPO-S (normalized to B + D + K-stack) Status: ADMISSIBILITY PROCEDURE Authority: AREPO Scope: validation of substrate classification admissibility Mutation Policy: VERSION-CONTROLLED ONLY Class: AREPO ============================================================ END SECTION 0 — HEADER ============================================================ ============================================================ 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) ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ No substrate classification is admissible unless: • σ ∈ DOMINIUM_SUBIECTORUM • σ respects TENET K constraints • σ is structurally coherent ============================================================ END SECTION I ============================================================ ============================================================ SECTION II — INPUT CONTRACT ============================================================ Given: OUTPUT_OPERA_S := { PRIMARY_SUBJECT, SECONDARY_SUBJECTS, RATIONALE } ------------------------------------------------------------ PRECONDITION ------------------------------------------------------------ OPERA_S(q) has been executed. ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ AREPO S treats input as: • candidate classification • subject assignment to be validated ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ AREPO S must not: • reinterpret q • modify σ • perform reclassification ------------------------------------------------------------ FAILURE ------------------------------------------------------------ invalid_input_structure missing_fields precondition_violation ============================================================ END SECTION II ============================================================ ============================================================ SECTION III — DOMAIN VALIDATION ============================================================ Check: σ ∈ DOMINIUM_SUBIECTORUM ------------------------------------------------------------ FORMAL ------------------------------------------------------------ ∀ σᵢ ∈ Σ: σᵢ ∈ {B, C, D, E, F, G, H, I, K} ------------------------------------------------------------ RULE ------------------------------------------------------------ All assigned substrates must: • belong to TENET K subject set • be canonical identifiers ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • non-canonical symbols • undefined subjects • inferred domain extensions ------------------------------------------------------------ FAILURE ------------------------------------------------------------ out_of_domain non_canonical_subject invalid_symbol ============================================================ END SECTION III ============================================================ ============================================================ SECTION IV — STRUCTURAL VALIDATION ============================================================ Check compound structure: σ := σ₁ σ₂ σ₃ ------------------------------------------------------------ RULE ------------------------------------------------------------ Structure must satisfy: • |Σ| ≤ 3 • σ₁ exists • σ₂, σ₃ optional • no duplicates ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Invalid structures include: • |Σ| > 3 • empty primary subject • repeated subjects • unordered assignment ------------------------------------------------------------ FAILURE ------------------------------------------------------------ over_assignment missing_primary duplicate_subject invalid_structure ============================================================ END SECTION IV ============================================================ ============================================================ SECTION V — TENET K COMPLIANCE ============================================================ Check: compliance with TENET K constraints ------------------------------------------------------------ VALIDATION CONDITIONS ------------------------------------------------------------ • subject distinction preserved • no subject collapse • no subject redefinition • hierarchy not violated (non-operational) ------------------------------------------------------------ RULE ------------------------------------------------------------ Classification must: respect ontological separation of subjects ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • merged subject identities • ambiguous subject boundaries • reinterpreted subject definitions ------------------------------------------------------------ FAILURE ------------------------------------------------------------ subject_collapse ambiguous_identity tenet_violation ============================================================ END SECTION V ============================================================ Continuing AREPO S — SUBSTRATE ADMISSIBILITY GATE (Sections VI–X). ============================================================ SECTION VI — GATE ORDER COMPLIANCE ============================================================ Check: OPERA S respected gate order: K → I → H → G → F → E → D → C → B ------------------------------------------------------------ RULE ------------------------------------------------------------ Classification must: • follow declared gate sequence • select σ based on first valid gate • not skip gates without justification ------------------------------------------------------------ VALIDATION ------------------------------------------------------------ RATIONALE must demonstrate: • indicator alignment with selected gate • absence of higher-priority gate match ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • skipped valid gates • inverted order • post-hoc gate justification ------------------------------------------------------------ FAILURE ------------------------------------------------------------ gate_violation order_inversion justification_gap ============================================================ END SECTION VI ============================================================ ============================================================ SECTION VII — COMPOUND CONSISTENCY ============================================================ Check: internal consistency of compound substrates ------------------------------------------------------------ RULE ------------------------------------------------------------ For σ := σ₁ σ₂ σ₃: • σ₁ must dominate interpretation • σ₂, σ₃ must support σ₁ • no contradiction among σᵢ ------------------------------------------------------------ COMPATIBILITY ------------------------------------------------------------ Valid compound must satisfy: concordant(σ₁, σ₂) concordant(σ₁, σ₃) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ AREPO S must reject: • contradictory substrates • incoherent combinations • unordered hierarchy ------------------------------------------------------------ FAILURE ------------------------------------------------------------ compound_incoherence subject_conflict hierarchy_violation ============================================================ END SECTION VII ============================================================ ============================================================ SECTION VIII — RATIONALE VALIDATION ============================================================ Check: validity and completeness of RATIONALE ------------------------------------------------------------ RULE ------------------------------------------------------------ RATIONALE must: • reference heuristic indicators • map q → σ explicitly • justify primary subject selection ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ RATIONALE must not: • include conclusions • include answers to q • contain ambiguity ------------------------------------------------------------ COMPLETENESS CONDITION ------------------------------------------------------------ RATIONALE is complete iff: indicators(q) are mapped to σ gates ------------------------------------------------------------ FAILURE ------------------------------------------------------------ missing_rationale ambiguous_reasoning answer_leakage ============================================================ END SECTION VIII ============================================================ ============================================================ SECTION IX — OUTPUT ADMISSIBILITY ============================================================ ADMISSIBILITY_STATUS ∈ { ADMISSIBLE, REJECTED } ------------------------------------------------------------ ADMISSIBLE ------------------------------------------------------------ All conditions satisfied: • domain valid • structure valid • TENET K compliant • gate order respected • compound consistent • rationale valid ------------------------------------------------------------ REJECTED ------------------------------------------------------------ Any condition fails. ------------------------------------------------------------ RULE ------------------------------------------------------------ No partial admissibility allowed. ------------------------------------------------------------ OUTPUT ------------------------------------------------------------ { status: ADMISSIBLE | REJECTED, failure_reasons: [if any], validated_subjects: σ } ------------------------------------------------------------ FAILURE ------------------------------------------------------------ partial_acceptance silent_failure ambiguous_status ============================================================ END SECTION IX ============================================================ ============================================================ SECTION X — FINAL STATE ============================================================ 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 ------------------------------------------------------------ FINAL STATE: AREPO S — READY FOR CONTROL-PLANE VALIDATION ============================================================ END AREPO S ============================================================ END_VERBATIM_ARTIFACT: AREPO ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: OPERA Source_File: 06_STACK_SK/OPERA_S_ExecutionMechanism.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 42435 Source_SHA256: 0bccd2d90802dd5b1e2d5a85091acd12435ee75127235f63f465306289d1ad62 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Class: OPERA](#local-section-06-stack-sk-opera-s-executionmechanism-class-opera) - [SECTION I â€” PURPOSE](#local-section-06-stack-sk-opera-s-executionmechanism-section-i-purpose) - [CORE ASSERTION](#local-section-06-stack-sk-opera-s-executionmechanism-core-assertion) - [SECTION II â€” INPUT CONTRACT](#local-section-06-stack-sk-opera-s-executionmechanism-section-ii-input-contract) - [PRECONDITION](#local-section-06-stack-sk-opera-s-executionmechanism-precondition) - [INTERPRETATION](#local-section-06-stack-sk-opera-s-executionmechanism-interpretation) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure) - [SECTION III â€” DOMAIN DEFINITION](#local-section-06-stack-sk-opera-s-executionmechanism-section-iii-domain-definition) - [FORMAL](#local-section-06-stack-sk-opera-s-executionmechanism-formal) - [MAPPING](#local-section-06-stack-sk-opera-s-executionmechanism-mapping) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-2) - [SECTION IV â€” GATE ORDER (OPERATIONAL)](#local-section-06-stack-sk-opera-s-executionmechanism-section-iv-gate-order-operational) - [PROPERTIES](#local-section-06-stack-sk-opera-s-executionmechanism-properties) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-2) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-2) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-3) - [SECTION V â€” HEURISTIC GATES](#local-section-06-stack-sk-opera-s-executionmechanism-section-v-heuristic-gates) - [K â€” Instrumentativum](#local-section-06-stack-sk-opera-s-executionmechanism-k-instrumentativum) - [I â€” Elementativum](#local-section-06-stack-sk-opera-s-executionmechanism-i-elementativum) - [H â€” Vegetativum](#local-section-06-stack-sk-opera-s-executionmechanism-h-vegetativum) - [G â€” Sensitivum](#local-section-06-stack-sk-opera-s-executionmechanism-g-sensitivum) - [F â€” Imaginatio](#local-section-06-stack-sk-opera-s-executionmechanism-f-imaginatio) - [E â€” Homo](#local-section-06-stack-sk-opera-s-executionmechanism-e-homo) - [D â€” Caelum](#local-section-06-stack-sk-opera-s-executionmechanism-d-caelum) - [C â€” Angelus](#local-section-06-stack-sk-opera-s-executionmechanism-c-angelus) - [B â€” Deus](#local-section-06-stack-sk-opera-s-executionmechanism-b-deus) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-3) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-4) - [SECTION VI â€” CLASSIFICATION RULE](#local-section-06-stack-sk-opera-s-executionmechanism-section-vi-classification-rule) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-4) - [SELECTION LOGIC](#local-section-06-stack-sk-opera-s-executionmechanism-selection-logic) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-3) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-5) - [SECTION VII â€” COMPOUND SUBSTRATES](#local-section-06-stack-sk-opera-s-executionmechanism-section-vii-compound-substrates) - [FORMAL](#local-section-06-stack-sk-opera-s-executionmechanism-formal-2) - [ROLE ASSIGNMENT](#local-section-06-stack-sk-opera-s-executionmechanism-role-assignment) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-5) - [SPECIAL CASE](#local-section-06-stack-sk-opera-s-executionmechanism-special-case) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-6) - [SECTION VIII â€” FAIL-SAFE CONDITION](#local-section-06-stack-sk-opera-s-executionmechanism-section-viii-fail-safe-condition) - [EMIT](#local-section-06-stack-sk-opera-s-executionmechanism-emit) - [INTERPRETATION](#local-section-06-stack-sk-opera-s-executionmechanism-interpretation-2) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-6) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-4) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-7) - [SECTION IX â€” OUTPUT STRUCTURE](#local-section-06-stack-sk-opera-s-executionmechanism-section-ix-output-structure) - [FIELDS](#local-section-06-stack-sk-opera-s-executionmechanism-fields) - [PRIMARY_SUBJECT:](#local-section-06-stack-sk-opera-s-executionmechanism-primary-subject) - [SECONDARY_SUBJECTS:](#local-section-06-stack-sk-opera-s-executionmechanism-secondary-subjects) - [RATIONALE:](#local-section-06-stack-sk-opera-s-executionmechanism-rationale) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-7) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-5) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-8) - [SECTION X â€” STRUCTURAL CHECK](#local-section-06-stack-sk-opera-s-executionmechanism-section-x-structural-check) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-8) - [INVALID CONDITION](#local-section-06-stack-sk-opera-s-executionmechanism-invalid-condition) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-6) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-9) - [SECTION XI â€” RELATION TO OTHER OPERAE](#local-section-06-stack-sk-opera-s-executionmechanism-section-xi-relation-to-other-operae) - [PIPELINE POSITION](#local-section-06-stack-sk-opera-s-executionmechanism-pipeline-position) - [ROLE](#local-section-06-stack-sk-opera-s-executionmechanism-role) - [OPERA S:](#local-section-06-stack-sk-opera-s-executionmechanism-opera-s) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-9) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-7) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-10) - [SECTION XII â€” CLASS BOUNDARY LAW](#local-section-06-stack-sk-opera-s-executionmechanism-section-xii-class-boundary-law) - [ALLOWED](#local-section-06-stack-sk-opera-s-executionmechanism-allowed) - [FORBIDDEN](#local-section-06-stack-sk-opera-s-executionmechanism-forbidden) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-10) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-11) - [SECTION XIII â€” PROHIBITIONS](#local-section-06-stack-sk-opera-s-executionmechanism-section-xiii-prohibitions) - [RULE](#local-section-06-stack-sk-opera-s-executionmechanism-rule-11) - [CONSTRAINT](#local-section-06-stack-sk-opera-s-executionmechanism-constraint-8) - [FAILURE](#local-section-06-stack-sk-opera-s-executionmechanism-failure-12) - [SECTION XIV â€” CIRCULAR SUBJECT CONSISTENCY VALIDATION](#local-section-06-stack-sk-opera-s-executionmechanism-section-xiv-circular-subject-consistency-validation) - [PURPOSE](#local-section-06-stack-sk-opera-s-executionmechanism-purpose) - [VALIDATION PRINCIPLE](#local-section-06-stack-sk-opera-s-executionmechanism-validation-principle) - [ACT GENERATION LAW](#local-section-06-stack-sk-opera-s-executionmechanism-act-generation-law) - [AGENT GROUNDING LAW](#local-section-06-stack-sk-opera-s-executionmechanism-agent-grounding-law) - [CIRCULAR ONTOLOGICAL CLOSURE](#local-section-06-stack-sk-opera-s-executionmechanism-circular-ontological-closure) - [CIRCULAR CONSISTENCY CHECK](#local-section-06-stack-sk-opera-s-executionmechanism-circular-consistency-check) - [CHECK:](#local-section-06-stack-sk-opera-s-executionmechanism-check) - [S_CIRCULAR_INCONSISTENCY:](#local-section-06-stack-sk-opera-s-executionmechanism-s-circular-inconsistency) - [VALIDITY CONSEQUENCES](#local-section-06-stack-sk-opera-s-executionmechanism-validity-consequences) - [OUTPUT EXTENSION](#local-section-06-stack-sk-opera-s-executionmechanism-output-extension) - [CIRCULAR_SUBJECT_VALIDATION:](#local-section-06-stack-sk-opera-s-executionmechanism-circular-subject-validation) - [RESULT](#local-section-06-stack-sk-opera-s-executionmechanism-result) - [SECTION XV â€” FINAL STATE](#local-section-06-stack-sk-opera-s-executionmechanism-section-xv-final-state) - [FINAL STATE:](#local-section-06-stack-sk-opera-s-executionmechanism-final-state) ============================================================ OPERA S â€” SUBSTRATE CLASSIFIER Aligned to TENET K / ROTA S (ROTAS-compliant) Version: 0.5.1-OPERA-S-CIRCULAR-INTEGRATED Status: OPERATIONAL PROCEDURE / PATCH INTEGRATED Authority: TENET Scope: Substrate classification Mutation Policy: VERSION-CONTROLLED ONLY Class: OPERA ============================================================ END SECTION 0 â€” HEADER ============================================================ ============================================================ SECTION I â€” PURPOSE ============================================================ OPERA S determines the substrate (Subject) to which a discourse belongs. ------------------------------------------------------------ OPERA S performs: â€¢ substrate classification â€¢ carrier selection within TENET K domain â€¢ mapping of discourse to subject space ------------------------------------------------------------ OPERA S does NOT: â€¢ answer the query â€¢ produce propositions â€¢ redefine subjects â€¢ mutate TENET K â€¢ alter ROTA S structure ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ Every discourse must be mapped to at least one subject within DOMINIUM_SUBIECTORUM. ============================================================ END SECTION I ============================================================ ============================================================ SECTION II â€” INPUT CONTRACT ============================================================ Given: q ------------------------------------------------------------ PRECONDITION ------------------------------------------------------------ Quaestio(q) must hold. ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ q is treated as: â€¢ a discourse fragment â€¢ a semantic unit requiring substrate grounding ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ OPERA S must not: â€¢ reinterpret q beyond classification needs â€¢ perform Q-resolution â€¢ inject missing information ------------------------------------------------------------ FAILURE ------------------------------------------------------------ invalid_input non_questio semantic_overreach ============================================================ END SECTION II ============================================================ ============================================================ SECTION III â€” DOMAIN DEFINITION ============================================================ DOMINIUM_SUBIECTORUM := SUBJECT_SET from TENET K ------------------------------------------------------------ FORMAL ------------------------------------------------------------ Ïƒ âˆˆ {B, C, D, E, F, G, H, I, K} ------------------------------------------------------------ MAPPING ------------------------------------------------------------ B â†’ Deus C â†’ Angelus D â†’ Caelum E â†’ Homo F â†’ Imaginatio G â†’ Sensitivum H â†’ Vegetativum I â†’ Elementativum K â†’ Instrumentativum ------------------------------------------------------------ RULE ------------------------------------------------------------ All classifications must resolve strictly within this domain. ------------------------------------------------------------ FAILURE ------------------------------------------------------------ out_of_domain invalid_subject_reference non_canonical_mapping ============================================================ END SECTION III ============================================================ ============================================================ SECTION IV â€” GATE ORDER (OPERATIONAL) ============================================================ Evaluation order: K â†’ I â†’ H â†’ G â†’ F â†’ E â†’ D â†’ C â†’ B ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ â€¢ procedural (not ontological) â€¢ optimized for classification efficiency â€¢ descending in concreteness ------------------------------------------------------------ RULE ------------------------------------------------------------ Evaluation must: â€¢ follow gate order strictly â€¢ terminate upon sufficient classification â€¢ avoid skipping gates without justification ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Gate order must not be: â€¢ inferred from ordinal ladder â€¢ altered dynamically â€¢ reversed ------------------------------------------------------------ FAILURE ------------------------------------------------------------ gate_violation order_inversion classification_skip ============================================================ END SECTION IV ============================================================ ============================================================ SECTION V â€” HEURISTIC GATES ============================================================ Each gate defines a classification condition. ------------------------------------------------------------ K â€” Instrumentativum ------------------------------------------------------------ Indicators: â€¢ tools â€¢ systems â€¢ artifacts â€¢ mediated operations ------------------------------------------------------------ I â€” Elementativum ------------------------------------------------------------ Indicators: â€¢ material composition â€¢ physical substrate â€¢ chemical or structural base ------------------------------------------------------------ H â€” Vegetativum ------------------------------------------------------------ Indicators: â€¢ growth processes â€¢ biological functions â€¢ organic systems ------------------------------------------------------------ G â€” Sensitivum ------------------------------------------------------------ Indicators: â€¢ perception â€¢ behavior â€¢ reactive systems ------------------------------------------------------------ F â€” Imaginatio ------------------------------------------------------------ Indicators: â€¢ representation â€¢ language â€¢ symbolic systems â€¢ mathematics ------------------------------------------------------------ E â€” Homo ------------------------------------------------------------ Indicators: â€¢ social structures â€¢ institutions â€¢ human decision-making ------------------------------------------------------------ D â€” Caelum ------------------------------------------------------------ Indicators: â€¢ physical universe â€¢ cosmological structures â€¢ natural laws ------------------------------------------------------------ C â€” Angelus ------------------------------------------------------------ Indicators: â€¢ pure intellect â€¢ knowledge-as-such â€¢ abstract intelligibility ------------------------------------------------------------ B â€” Deus ------------------------------------------------------------ Indicators: â€¢ first cause â€¢ absolute being â€¢ theological domain ------------------------------------------------------------ RULE ------------------------------------------------------------ Classification must be based on: dominant indicator set ------------------------------------------------------------ FAILURE ------------------------------------------------------------ misclassification ambiguous_gate indicator_conflict ============================================================ END SECTION V ============================================================ Continuing OPERA S â€” SUBSTRATE CLASSIFIER (Sections VIâ€“X). ============================================================ SECTION VI â€” CLASSIFICATION RULE ============================================================ Classification computes: Ïƒ := Substrate(q) ------------------------------------------------------------ RULE ------------------------------------------------------------ Ïƒ must satisfy: â€¢ Ïƒ âˆˆ DOMINIUM_SUBIECTORUM â€¢ Ïƒ matches dominant indicators of q â€¢ Ïƒ preserves TENET K distinctions ------------------------------------------------------------ SELECTION LOGIC ------------------------------------------------------------ Select first gate in evaluation order where: indicators(q) âŠ† indicators(Ïƒ) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Classification must be: â€¢ deterministic â€¢ reproducible â€¢ non-ambiguous ------------------------------------------------------------ FAILURE ------------------------------------------------------------ non_deterministic_classification ambiguous_assignment invalid_selection ============================================================ END SECTION VI ============================================================ ============================================================ SECTION VII â€” COMPOUND SUBSTRATES ============================================================ A discourse may involve multiple substrates. ------------------------------------------------------------ FORMAL ------------------------------------------------------------ Ïƒ := Ïƒâ‚ Ïƒâ‚‚ Ïƒâ‚ƒ Constraint: |Î£| â‰¤ 3 ------------------------------------------------------------ ROLE ASSIGNMENT ------------------------------------------------------------ Ïƒâ‚ := primary substrate Ïƒâ‚‚ := secondary substrate Ïƒâ‚ƒ := tertiary substrate ------------------------------------------------------------ RULE ------------------------------------------------------------ Compound assignment must: â€¢ preserve hierarchy â€¢ maintain subject distinction â€¢ avoid redundancy ------------------------------------------------------------ SPECIAL CASE ------------------------------------------------------------ F (Imaginatio) may act as: â€¢ mediator substrate â€¢ symbolic carrier ------------------------------------------------------------ FAILURE ------------------------------------------------------------ over_assignment redundant_substrates hierarchy_violation ============================================================ END SECTION VII ============================================================ ============================================================ SECTION VIII â€” FAIL-SAFE CONDITION ============================================================ If classification fails: Ïƒ := F (Imaginatio) ------------------------------------------------------------ EMIT ------------------------------------------------------------ SUBSTRATE_AMBIGUOUS ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Representation precedes ontological determination. ------------------------------------------------------------ RULE ------------------------------------------------------------ Fail-safe must: â€¢ preserve classification continuity â€¢ avoid null states â€¢ prevent invalid outputs ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Fail-safe must not: â€¢ mask systematic failure â€¢ override valid classification ------------------------------------------------------------ FAILURE ------------------------------------------------------------ fail_safe_misuse masked_error false_default ============================================================ END SECTION VIII ============================================================ ============================================================ SECTION IX â€” OUTPUT STRUCTURE ============================================================ OUTPUT := { PRIMARY_SUBJECT, SECONDARY_SUBJECTS, RATIONALE } ------------------------------------------------------------ FIELDS ------------------------------------------------------------ PRIMARY_SUBJECT: Ïƒâ‚ SECONDARY_SUBJECTS: {Ïƒâ‚‚, Ïƒâ‚ƒ} or âˆ… RATIONALE: explicit mapping from q to indicators ------------------------------------------------------------ RULE ------------------------------------------------------------ RATIONALE must: â€¢ reference heuristic gates â€¢ justify selection â€¢ be non-ambiguous ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Output must not: â€¢ include evaluation â€¢ include conclusions â€¢ include answers to q ------------------------------------------------------------ FAILURE ------------------------------------------------------------ missing_rationale ambiguous_output answer_leakage ============================================================ END SECTION IX ============================================================ ============================================================ SECTION X â€” STRUCTURAL CHECK ============================================================ Conform_S(q) := âˆƒ Ïƒ âˆˆ DOMINIUM_SUBIECTORUM ------------------------------------------------------------ RULE ------------------------------------------------------------ Classification is valid iff: Conform_S(q) = TRUE ------------------------------------------------------------ INVALID CONDITION ------------------------------------------------------------ If: Conform_S(q) = FALSE Then: classification_error ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All outputs must: â€¢ pass structural check â€¢ remain within domain ------------------------------------------------------------ FAILURE ------------------------------------------------------------ domain_violation classification_error invalid_output ============================================================ END SECTION X ============================================================ Continuing OPERA S â€” SUBSTRATE CLASSIFIER (Sections XIâ€“XIV, completion). ============================================================ SECTION XI â€” RELATION TO OTHER OPERAE ============================================================ OPERA S operates as substrate classifier within OPERA stack. ------------------------------------------------------------ PIPELINE POSITION ------------------------------------------------------------ Q â†’ S â†’ (A Ã— T) â†’ D â†’ H â†’ I ------------------------------------------------------------ ROLE ------------------------------------------------------------ OPERA S: â€¢ follows Q (question formulation) â€¢ precedes principial articulation (A Ã— T) â€¢ provides substrate grounding for all subsequent operations ------------------------------------------------------------ RULE ------------------------------------------------------------ No OPERA stage after S may: â€¢ operate without substrate grounding â€¢ override substrate classification â€¢ bypass S-stage ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ OPERA S must not: â€¢ anticipate A or T outcomes â€¢ interact with D/H/I logic â€¢ perform cross-stage inference ------------------------------------------------------------ FAILURE ------------------------------------------------------------ pipeline_bypass stage_interference premature_articulation ============================================================ END SECTION XI ============================================================ ============================================================ SECTION XII â€” CLASS BOUNDARY LAW ============================================================ OPERA S must remain strictly within OPERA domain. ------------------------------------------------------------ ALLOWED ------------------------------------------------------------ âœ“ classify substrate âœ“ assign carriers âœ“ emit structured output ------------------------------------------------------------ FORBIDDEN ------------------------------------------------------------ âœ— define subjects (TENET K) âœ— display structure (ROTA S) âœ— validate admissibility (AREPO) âœ— expose mediation (SATOR) âœ— evaluate convergence (OPERA MAGNA) ------------------------------------------------------------ RULE ------------------------------------------------------------ OPERA S must: not cross into any non-OPERA class function ------------------------------------------------------------ FAILURE ------------------------------------------------------------ class_boundary_violation execution_leak cross_class_intrusion ============================================================ END SECTION XII ============================================================ ============================================================ SECTION XIII â€” PROHIBITIONS ============================================================ The following actions are strictly prohibited: ------------------------------------------------------------ â€¢ answering the query â€¢ producing conclusions â€¢ redefining subjects â€¢ creating new substrates â€¢ bypassing gate order â€¢ altering TENET K mapping â€¢ inferring outside DOMINIUM_SUBIECTORUM ------------------------------------------------------------ RULE ------------------------------------------------------------ All classification must be: â€¢ strictly procedural â€¢ domain-bounded â€¢ TENET-compliant ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Violation of any prohibition: invalidates classification output ------------------------------------------------------------ FAILURE ------------------------------------------------------------ answer_leakage subject_mutation domain_expansion rule_violation ============================================================ END SECTION XIII ============================================================ ============================================================ SECTION XIV â€” CIRCULAR SUBJECT CONSISTENCY VALIDATION ============================================================ PURPOSE ------------------------------------------------------------ Circular subject consistency validation treats the subject ladder as a structured field capable of closure validation. It does NOT claim: â€¢ that the ladder is literally a Llullian ROTA â€¢ that subject classification is circular in ordinary terms It DOES establish: â€¢ a cyclic validation layer for subject hierarchy â€¢ bidirectional coherence between levels of being â€¢ improved substrate grounding discipline ------------------------------------------------------------ VALIDATION PRINCIPLE ------------------------------------------------------------ A subject classification is not fully valid merely because: â€¢ it fits a local category â€¢ it satisfies a substrate rule It must also cohere with: â€¢ the levels from which it emerges â€¢ the levels it grounds or governs Thus OPERA S validates: local classification validity + hierarchical coherence + circular ontological closure ------------------------------------------------------------ ACT GENERATION LAW ------------------------------------------------------------ Exploratory ACT mapping: S4 (HOMO) = ACT(S1, S2, S3) S5 (ANIMAL) = ACT(S2, S3, S4) S6 (PLANT) = ACT(S3, S4, S5) S7 (ELEMENTAL) = ACT(S4, S5, S6) Interpretation: Higher beings are read as structured compositions of lower principial levels. Example: â€¢ Homo emerges as structured integration of divine, intelligible, and cosmic orders Rule: No subject level may be asserted as stable if the levels from which it is generated are incoherent. ------------------------------------------------------------ AGENT GROUNDING LAW ------------------------------------------------------------ Exploratory AGENT mapping: S1 (DIVINE) = AGENT(S5, S6, S7) S2 (ANGELIC) = AGENT(S6, S7, S1) S3 (CELESTIAL) = AGENT(S7, S1, S2) Interpretation: Higher and foundational levels are mutually constrained by the lower-order structures they govern or ground. Rule: Foundational subject levels must not be asserted in ways that collapse the downstream hierarchy. ------------------------------------------------------------ CIRCULAR ONTOLOGICAL CLOSURE ------------------------------------------------------------ Closure: S1 â†’ S2 â†’ S3 â†’ S4 â†’ S5 â†’ S6 â†’ S7 â†’ S1 Rule: After OPERA S classification, the subject-field must be checked for cyclic coherence. Meaning: A subject classification may be: â€¢ locally valid â€¢ substrate-compatible â€¢ yet globally incoherent Constraint: This is a validation layer, not a metaphysical redefinition. ------------------------------------------------------------ CIRCULAR CONSISTENCY CHECK ------------------------------------------------------------ For each subject: CHECK: consistency with source levels consistency with governed levels Flag: S_CIRCULAR_INCONSISTENCY: assigned when subject classification fails to close coherently across levels ------------------------------------------------------------ VALIDITY CONSEQUENCES ------------------------------------------------------------ If inconsistency is: local: â†’ mark subject classification as PARTIAL hierarchical: â†’ mark SUBJECT_FIELD_INCOMPLETE severe: â†’ block substrate assignment Rule: Substrate classification must not be stabilized if circular subject coherence fails. ------------------------------------------------------------ OUTPUT EXTENSION ------------------------------------------------------------ OUTPUT may include: CIRCULAR_SUBJECT_VALIDATION: ACT_SOURCE_STATUS:: AGENT_TARGET_STATUS:: SUBJECT_CLOSURE_STATUS:: SUBJECT_CIRCULAR_FLAGS::{...} ------------------------------------------------------------ RESULT ------------------------------------------------------------ OPERA S becomes: a stable ontological field validator not merely: a ladder classifier ============================================================ END SECTION XIV ============================================================ ============================================================ SECTION XV â€” FINAL STATE ============================================================ OPERA S defines the canonical procedure for substrate classification. ------------------------------------------------------------ It guarantees: â€¢ deterministic substrate mapping â€¢ alignment with TENET K â€¢ compatibility with ROTA S â€¢ readiness for downstream OPERA stages â€¢ circular subject consistency validation ------------------------------------------------------------ It enforces: â€¢ zero ontological mutation â€¢ zero inference beyond classification â€¢ zero cross-layer contamination ------------------------------------------------------------ FINAL STATE: OPERA S â€” READY FOR CONTROL-PLANE VALIDATION / PATCH INTEGRATED ============================================================ END OPERA S ============================================================ END_VERBATIM_ARTIFACT: OPERA ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: SATOR Source_File: 06_STACK_SK/SATOR_S_OutputRequirements.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 21596 Source_SHA256: 6a9ef0471b63a0161ec7eeab9886a1271c01e48a8af27882c1fbc8953eda675c ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Class: SATOR](#local-section-06-stack-sk-sator-s-outputrequirements-class-sator) - [SECTION I — PURPOSE](#local-section-06-stack-sk-sator-s-outputrequirements-section-i-purpose) - [CORE ASSERTION](#local-section-06-stack-sk-sator-s-outputrequirements-core-assertion) - [SECTION II — INPUT CONTRACT](#local-section-06-stack-sk-sator-s-outputrequirements-section-ii-input-contract) - [PRECONDITION](#local-section-06-stack-sk-sator-s-outputrequirements-precondition) - [INTERPRETATION](#local-section-06-stack-sk-sator-s-outputrequirements-interpretation) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure) - [SECTION III — EXPOSURE MODEL](#local-section-06-stack-sk-sator-s-outputrequirements-section-iii-exposure-model) - [FORMAL](#local-section-06-stack-sk-sator-s-outputrequirements-formal) - [COMPONENTS](#local-section-06-stack-sk-sator-s-outputrequirements-components) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-2) - [SECTION IV — MEDIATION FUNCTION](#local-section-06-stack-sk-sator-s-outputrequirements-section-iv-mediation-function) - [FUNCTIONS](#local-section-06-stack-sk-sator-s-outputrequirements-functions) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-2) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint-2) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-3) - [SECTION V — STATUS EXPOSURE](#local-section-06-stack-sk-sator-s-outputrequirements-section-v-status-exposure) - [STATUS VALUES](#local-section-06-stack-sk-sator-s-outputrequirements-status-values) - [ADMISSIBLE:](#local-section-06-stack-sk-sator-s-outputrequirements-admissible) - [REJECTED:](#local-section-06-stack-sk-sator-s-outputrequirements-rejected) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-3) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint-3) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-4) - [SECTION VI — CONTEXTUALIZATION LAYER](#local-section-06-stack-sk-sator-s-outputrequirements-section-vi-contextualization-layer) - [CONTEXT ELEMENTS](#local-section-06-stack-sk-sator-s-outputrequirements-context-elements) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-4) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint-4) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-5) - [SECTION VII — TRACE PRESERVATION](#local-section-06-stack-sk-sator-s-outputrequirements-section-vii-trace-preservation) - [TRACE COMPONENTS](#local-section-06-stack-sk-sator-s-outputrequirements-trace-components) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-5) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint-5) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-6) - [SECTION VIII — EXPOSITION MODE](#local-section-06-stack-sk-sator-s-outputrequirements-section-viii-exposition-mode) - [MODES](#local-section-06-stack-sk-sator-s-outputrequirements-modes) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-6) - [CONSTRAINT](#local-section-06-stack-sk-sator-s-outputrequirements-constraint-6) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-7) - [SECTION IX — CLASS BOUNDARY LAW](#local-section-06-stack-sk-sator-s-outputrequirements-section-ix-class-boundary-law) - [ALLOWED](#local-section-06-stack-sk-sator-s-outputrequirements-allowed) - [FORBIDDEN](#local-section-06-stack-sk-sator-s-outputrequirements-forbidden) - [RULE](#local-section-06-stack-sk-sator-s-outputrequirements-rule-7) - [FAILURE](#local-section-06-stack-sk-sator-s-outputrequirements-failure-8) - [SECTION X — FINAL STATE](#local-section-06-stack-sk-sator-s-outputrequirements-section-x-final-state) - [FINAL STATE:](#local-section-06-stack-sk-sator-s-outputrequirements-final-state) ============================================================ SATOR S — SUBSTRATE MEDIATION LAYER Aligned to TENET K / ROTA S / OPERA S / AREPO S Version: 0.3.0-SATOR-S (normalized to MAGNUM mediation law) Status: MEDIATION INTERFACE Authority: SATOR Scope: exposure and mediation of substrate classification state Mutation Policy: VERSION-CONTROLLED ONLY Class: SATOR ============================================================ END SECTION 0 — HEADER ============================================================ ============================================================ SECTION I — PURPOSE ============================================================ SATOR S exposes and mediates the substrate classification state. ------------------------------------------------------------ SATOR S performs: • exposure of σ (classified substrates) • contextualization of classification output • framing of substrate state for interaction ------------------------------------------------------------ SATOR S does NOT: • classify substrates (OPERA S) • validate admissibility (AREPO S) • define subjects (TENET K) • display canonical ladder (ROTA S) • evaluate convergence (OPERA MAGNA) ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ All substrate classifications must be exposed through a controlled mediation layer. ============================================================ END SECTION I ============================================================ ============================================================ SECTION II — INPUT CONTRACT ============================================================ Given: OUTPUT_AREPO_S := { status, failure_reasons, validated_subjects } ------------------------------------------------------------ PRECONDITION ------------------------------------------------------------ AREPO S has been executed. ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ SATOR S treats input as: • validated or rejected classification state • interaction-ready representation ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SATOR S must not: • modify σ • reinterpret classification • re-evaluate admissibility ------------------------------------------------------------ FAILURE ------------------------------------------------------------ invalid_input missing_precondition state_inconsistency ============================================================ END SECTION II ============================================================ ============================================================ SECTION III — EXPOSURE MODEL ============================================================ SATOR S exposes: SUBSTRATE_STATE ------------------------------------------------------------ FORMAL ------------------------------------------------------------ SUBSTRATE_STATE := { status, σ, rationale, mediation_context } ------------------------------------------------------------ COMPONENTS ------------------------------------------------------------ status: ADMISSIBLE | REJECTED σ: subject assignment rationale: classification justification (non-evaluative) mediation_context: interaction framing layer ------------------------------------------------------------ RULE ------------------------------------------------------------ Exposure must: • preserve OPERA S output • preserve AREPO S validation result • add only contextual framing ------------------------------------------------------------ FAILURE ------------------------------------------------------------ state_mutation output_distortion context_overwrite ============================================================ END SECTION III ============================================================ ============================================================ SECTION IV — MEDIATION FUNCTION ============================================================ SATOR S mediates between: system state ↔ interaction layer ------------------------------------------------------------ FUNCTIONS ------------------------------------------------------------ • translate σ into readable form • preserve structural meaning • expose classification boundaries • highlight admissibility status ------------------------------------------------------------ RULE ------------------------------------------------------------ Mediation must: • not introduce new semantics • not suppress structural information • not interpret beyond classification scope ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Mediation must remain: • faithful • non-transformative • structurally aligned ------------------------------------------------------------ FAILURE ------------------------------------------------------------ semantic_injection information_loss interpretive_drift ============================================================ END SECTION IV ============================================================ ============================================================ SECTION V — STATUS EXPOSURE ============================================================ SATOR S must expose classification status explicitly. ------------------------------------------------------------ STATUS VALUES ------------------------------------------------------------ ADMISSIBLE: • valid substrate classification • compliant with TENET K REJECTED: • invalid classification • accompanied by failure reasons ------------------------------------------------------------ RULE ------------------------------------------------------------ Status must: • be visible • be unambiguous • not be inferred ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SATOR S must not: • suppress rejection • soften failure signals • reinterpret status ------------------------------------------------------------ FAILURE ------------------------------------------------------------ status_suppression ambiguous_exposure signal_loss ============================================================ END SECTION V ============================================================ Continuing SATOR S — SUBSTRATE MEDIATION LAYER (Sections VI–X, completion). ============================================================ SECTION VI — CONTEXTUALIZATION LAYER ============================================================ SATOR S may provide minimal contextual framing. ------------------------------------------------------------ CONTEXT ELEMENTS ------------------------------------------------------------ • subject domain description • scope indication of σ • interaction-ready phrasing ------------------------------------------------------------ RULE ------------------------------------------------------------ Context must: • be derived from TENET K definitions • not extend beyond subject scope • remain descriptive, not interpretive ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Context must not: • introduce new classifications • alter σ structure • imply conclusions ------------------------------------------------------------ FAILURE ------------------------------------------------------------ context_inflation semantic_extension classification_shift ============================================================ END SECTION VI ============================================================ ============================================================ SECTION VII — TRACE PRESERVATION ============================================================ SATOR S must preserve traceability of classification. ------------------------------------------------------------ TRACE COMPONENTS ------------------------------------------------------------ • σ (subject assignment) • rationale (from OPERA S) • validation status (AREPO S) ------------------------------------------------------------ RULE ------------------------------------------------------------ Trace must be: • explicit • intact • accessible ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SATOR S must not: • truncate rationale • omit validation signals • reorder structural components ------------------------------------------------------------ FAILURE ------------------------------------------------------------ trace_loss rationale_truncation signal_omission ============================================================ END SECTION VII ============================================================ ============================================================ SECTION VIII — EXPOSITION MODE ============================================================ SATOR S operates under controlled exposition modes. ------------------------------------------------------------ MODES ------------------------------------------------------------ • STRICT: raw structural exposure • CONTEXTUAL: minimal descriptive framing ------------------------------------------------------------ RULE ------------------------------------------------------------ Mode selection must: • preserve structural integrity • not alter σ or status ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Mode must not: • introduce interpretation • alter classification output ------------------------------------------------------------ FAILURE ------------------------------------------------------------ mode_violation interpretive_overlay output_mutation ============================================================ END SECTION VIII ============================================================ ============================================================ SECTION IX — CLASS BOUNDARY LAW ============================================================ SATOR S must remain strictly within SATOR domain. ------------------------------------------------------------ ALLOWED ------------------------------------------------------------ ✓ expose classification state ✓ mediate representation ✓ provide contextual framing ------------------------------------------------------------ FORBIDDEN ------------------------------------------------------------ ✗ classify (OPERA) ✗ validate (AREPO) ✗ define subjects (TENET) ✗ display canonical structure (ROTAS) ✗ evaluate convergence (OPERA MAGNA) ------------------------------------------------------------ RULE ------------------------------------------------------------ SATOR S must: not cross into any other class function ------------------------------------------------------------ FAILURE ------------------------------------------------------------ class_boundary_violation execution_leak evaluation_intrusion ============================================================ END SECTION IX ============================================================ ============================================================ SECTION X — FINAL STATE ============================================================ SATOR S defines the canonical mediation layer for substrate classification. ------------------------------------------------------------ It guarantees: • clear exposure of σ • preservation of validation state • traceable classification output • interaction-ready representation ------------------------------------------------------------ It enforces: • zero transformation • zero evaluation • zero reclassification ------------------------------------------------------------ FINAL STATE: SATOR S — READY FOR CONTROL-PLANE VALIDATION ============================================================ END SATOR S ============================================================ END_VERBATIM_ARTIFACT: SATOR ============================================================ ============================================================ END SIGMA_SATOR KERNEL BUNDLE: SIGMA_SATOR_SK ============================================================