============================================================ SIGMA_SATOR KERNEL BUNDLE AGLA / DEPLOYMENT LAYER Version: 1.0.3-SIGMA-SATOR-TENET-I-SUPPORT Status: VALID_SIGMA_SATOR_KERNEL_WITH_TENET_D_AND_TENET_I_SUPPORT Date: 2026-05-01 Authority: AGLA / CONTROL PLANE / HUMAN DEVELOPER DIRECTIVE Class: AGLA / MACROCLASS (SIGMA_SATOR) Kernel_ID: SIGMA_SATOR_G Regime: G Stack_Folder: 07_STACK_G Selected_OPERA: IDX-OPERA-G Selected_ROTAS: IDX-ROTA-G Support_Dependency: SUPPORT_TENET_D Support_Dependency_File: 08_STACK_D/TENET_D_DoctrinalInvariants.md Support_Dependency: SUPPORT_TENET_I Support_Dependency_File: 10_STACK_I/TENET_I_DoctrinalInvariants.md Support_Dependency_Role: TENET D articulates joint A/T principles; TENET I governs mixture of Stack E rules with A/T/D principles. Source_Class_Law: 00_ROOT_CLASS_LAWS/AGLA_SIGMA_SATOR_CLASS_LAW.md Mutation Policy: GENERATED FILE ONLY; SOURCE STACK ARTIFACTS NOT MUTATED BY THIS BUNDLE ASSEMBLY ============================================================ ## 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-g-sigma-sator-g-kernel-kernel-lifecycle) - [CLASS_MAPPING:](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-class-mapping) - [SUPPORT_BINDING:](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-support-binding) - [VALIDATION:](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-validation) - [SOURCE_ARTIFACT_MANIFEST:](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-source-artifact-manifest) - [SUPPORT_DEPENDENCY_MANIFEST:](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-support-dependency-manifest) - [EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-embedded-class-artifacts-full-verbatim-reproduction) - [SUPPORT DEPENDENCY ARTIFACTS -- FULL VERBATIM REPRODUCTION](#local-section-99-sigma-sator-output-sigma-sator-g-sigma-sator-g-kernel-support-dependency-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 SUPPORT_BINDING: TENET D is included as support dependency content for joint A/T articulation. TENET I is included as support dependency content for mixture of Stack E rules with Stack A, T, and D principles. Support dependencies do not authorize OPERA D or OPERA I execution. Support dependencies are inserted outside the five primary class slots. VALIDATION: all_five_classes_present: TRUE all_five_classes_non_empty: TRUE support_dependencies_non_empty: TRUE full_verbatim_embedding_attempted: TRUE kernel_valid: TRUE SOURCE_ARTIFACT_MANIFEST: - class: TENET file: 07_STACK_G/TENET_G_DoctrinalInvariants.md exists: TRUE non_empty: TRUE bytes: 37172 sha256: 51a3e2a673a3e0cd8e5651aca5ec290ad35fbc454fd28cde1e49e586f7ade086 - class: ROTAS file: 07_STACK_G/ROTAS_G_StructuralInstantiation.md exists: TRUE non_empty: TRUE bytes: 35237 sha256: 09beb52160df50b0545229241bcf376394ac407b918b8978f2603cbfda061fef - class: AREPO file: 07_STACK_G/AREPO_G_InputAdmissibility.md exists: TRUE non_empty: TRUE bytes: 33324 sha256: 8e1349ff72dfee4e0c14236483aa2a2430f4cb8673fd2dfce3c7cf8f6c615ff4 - class: OPERA file: 07_STACK_G/OPERA_G_ExecutionMechanism.md exists: TRUE non_empty: TRUE bytes: 36504 sha256: fbdba8cf765ab95365c91b200c5b03cd98bf449b2a3e46e021bd0815ae41eb7a - class: SATOR file: 07_STACK_G/SATOR_G_OutputRequirements.md exists: TRUE non_empty: TRUE bytes: 28140 sha256: 792835c05bd752c284c6578003c753c2e9d092362b633bb499b0d8899a2b2532 SUPPORT_DEPENDENCY_MANIFEST: - class: SUPPORT_TENET_D file: 08_STACK_D/TENET_D_DoctrinalInvariants.md exists: TRUE non_empty: TRUE bytes: 13216 sha256: 733995f5734c0a4d6d3930d8e63677ae70fd0842eab38168e1bc2a3e709e60c1 - class: SUPPORT_TENET_I file: 10_STACK_I/TENET_I_DoctrinalInvariants.md exists: TRUE non_empty: TRUE bytes: 26007 sha256: 64455905b49a91153cf73f6321f9f92693030f3573a64a1a6f338ce1008c98a4 ============================================================ EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: TENET Source_File: 07_STACK_G/TENET_G_DoctrinalInvariants.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 37172 Source_SHA256: 51a3e2a673a3e0cd8e5651aca5ec290ad35fbc454fd28cde1e49e586f7ade086 ------------------------------------------------------------ ============================================================ TENET G — EVACUATIO Ars Generalis Applied — Doctrine Layer Version: 1.0.0-TENET-G-MAGNUM-NORMALIZED Status: CANONICAL-CANDIDATE / STRUCTURAL REGIME Authority: TENET Mutation Policy: VERSION-CONTROLLED ONLY Class: TENET ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & SCOPE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-1-purpose-scope) - [CORE ASSERTION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-core-assertion) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint) - [SECTION 2 — EVACUATIO AS CLOSURE OPERATOR](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-2-evacuatio-as-closure-operator) - [DEFINITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-definition) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation) - [FORMAL PROPERTIES](#local-section-07-stack-g-tenet-g-doctrinalinvariants-formal-properties) - [TERMINATION LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-termination-law) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition) - [SECTION 3 — DOMAIN LAW (FIGURA TERTIA)](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-3-domain-law-figura-tertia) - [DOMAIN DEFINITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-domain-definition) - [CARDINALITY](#local-section-07-stack-g-tenet-g-doctrinalinvariants-cardinality) - [PROPERTIES](#local-section-07-stack-g-tenet-g-doctrinalinvariants-properties) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-2) - [PROHIBITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibitions) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-2) - [SECTION 4 — STRUCTURAL CARDINALITY LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-4-structural-cardinality-law) - [CARDINALITY INVARIANTS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-cardinality-invariants) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-2) - [STRUCTURAL RELATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-structural-relation) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-3) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-3) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-2) - [SECTION 5 — DEPENDENCY LAW (STRICT ORDER)](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-5-dependency-law-strict-order) - [DEPENDENCY CHAIN](#local-section-07-stack-g-tenet-g-doctrinalinvariants-dependency-chain) - [RULE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-rule) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-3) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-4) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-4) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-3) - [SECTION 6 — MEDIUM UNIQUENESS LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-6-medium-uniqueness-law) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle) - [FORMAL LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-formal-law) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-4) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-5) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-5) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-4) - [SECTION 7 — INTERROGATIVE DERIVATION LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-7-interrogative-derivation-law) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle-2) - [FORMAL LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-formal-law-2) - [STRUCTURE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-structure) - [CARDINALITY](#local-section-07-stack-g-tenet-g-doctrinalinvariants-cardinality-2) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-6) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-6) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-5) - [SECTION 8 — DETERMINISM LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-8-determinism-law) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle-3) - [PROPERTIES](#local-section-07-stack-g-tenet-g-doctrinalinvariants-properties-2) - [FORMAL CONDITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-formal-condition) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-5) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-7) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-7) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-6) - [SECTION 9 — PREPROCESSED EQUIVALENCE LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-9-preprocessed-equivalence-law) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle-4) - [DEFINITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-definition-2) - [EQUIVALENCE LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-equivalence-law) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-6) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-8) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-8) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-7) - [SECTION 10 — NON-COLLAPSE LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-10-non-collapse-law) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle-5) - [FORMAL DISTINCTIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-formal-distinctions) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-7) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-9) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-9) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-8) - [SECTION 11 — RELATION TO OTHER REGIMES](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-11-relation-to-other-regimes) - [PRINCIPLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-principle-6) - [RELATIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-relations) - [INTERPRETATION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-interpretation-8) - [CONSTRAINT](#local-section-07-stack-g-tenet-g-doctrinalinvariants-constraint-10) - [FAILURE CONDITIONS](#local-section-07-stack-g-tenet-g-doctrinalinvariants-failure-conditions-10) - [PROHIBITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-prohibition-9) - [SECTION 12 — FUNCTION & CLOSURE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-section-12-function-closure) - [FUNCTION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-function) - [SYSTEM ROLE](#local-section-07-stack-g-tenet-g-doctrinalinvariants-system-role) - [FINAL LAW](#local-section-07-stack-g-tenet-g-doctrinalinvariants-final-law) - [CLOSURE CONDITION](#local-section-07-stack-g-tenet-g-doctrinalinvariants-closure-condition) - [Status: CANONICAL-CANDIDATE / STRUCTURAL REGIME](#local-section-07-stack-g-tenet-g-doctrinalinvariants-status-canonical-candidate-structural-regime) END SECTION 0 — HEADER ============================================================ ============================================================ SECTION 1 — PURPOSE & SCOPE ============================================================ Define the principial laws governing Evacuatio as the closure operator of FIGURA TERTIA. ------------------------------------------------------------ This TENET establishes: • Evacuatio as deterministic closure • the finite domain of operation • invariant cardinalities • strict dependency structure • equivalence between generative and preprocessed forms ------------------------------------------------------------ This TENET governs: • all Evacuatio-related stacks (G) • all OPERA G execution constraints • all AREPO G admissibility validation • all ROTA G compatibility requirements • all SATOR G mediation invariants ------------------------------------------------------------ This TENET does NOT: • execute Evacuatio (OPERA domain) • validate requests or outputs (AREPO domain) • define traversal topology (ROTAS domain) • expose interpretation (SATOR domain) ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ Evacuatio is: a finite, deterministic, dependency-closed operator that transforms: a binary camera into: a complete inferential field ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Evacuatio must always: • terminate • preserve structure • maintain cardinality • satisfy dependency closure ============================================================ END SECTION 1 ============================================================ ============================================================ SECTION 2 — EVACUATIO AS CLOSURE OPERATOR ============================================================ DEFINITION ------------------------------------------------------------ EVACUATIO(c) := complete, finite, deterministic closure of all lawful inferential elements implied by camera c ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Closure implies: • no admissible element omitted • no inadmissible element introduced • no unresolved dependency • no partial expansion ------------------------------------------------------------ FORMAL PROPERTIES ------------------------------------------------------------ For any camera c: EVACUATIO(c) is: • total • bounded • deterministic • reproducible ------------------------------------------------------------ TERMINATION LAW ------------------------------------------------------------ Evacuatio must always reach: closed_state(c) ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ non_closed_expansion partial_closure open_dependency_chain unbounded_generation ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Evacuatio must not: ✗ generate infinite structures ✗ allow partial output ✗ defer closure to downstream layers ============================================================ END SECTION 2 ============================================================ ============================================================ SECTION 3 — DOMAIN LAW (FIGURA TERTIA) ============================================================ DOMAIN DEFINITION ------------------------------------------------------------ Σ_A := {B, C, D, E, F, G, H, I, K} CAMERA_SPACE := combinations(Σ_A, 2) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |CAMERA_SPACE| = 36 ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Each camera: • is binary (X, Y) • is unordered in domain • is unique • defines a closed inferential domain ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Evacuatio operates ONLY over: FIGURA TERTIA ------------------------------------------------------------ PROHIBITIONS ------------------------------------------------------------ No Evacuatio may be performed on: ✗ unary domains ✗ triadic domains ✗ external or extended alphabets ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ invalid_domain non_binary_camera external_extension alphabet_violation ============================================================ END SECTION 3 ============================================================ ============================================================ SECTION 4 — STRUCTURAL CARDINALITY LAW ============================================================ CARDINALITY INVARIANTS ------------------------------------------------------------ For any camera c: |STATEMENTS(c)| = 12 |MEDIA(c)| = 12 |QUESTIONS(c)| = 24 ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ These values are: • exact • invariant • non-negotiable ------------------------------------------------------------ STRUCTURAL RELATION ------------------------------------------------------------ 12 statements produce: 12 media (1:1 mapping) 12 statements produce: 24 questions (2:1 mapping) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Cardinality must be preserved: • across execution modes • across all layers • across all representations ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ cardinality_violation missing_elements excess_elements non_bijective_media invalid_question_derivation ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ No layer may: ✗ alter cardinality ✗ compress cardinality ✗ expand cardinality ============================================================ END SECTION 4 ============================================================ ============================================================ SECTION 5 — DEPENDENCY LAW (STRICT ORDER) ============================================================ DEPENDENCY CHAIN ------------------------------------------------------------ Evacuatio unfolds in the following order: camera → statements → media → questions → resolution ------------------------------------------------------------ RULE ------------------------------------------------------------ Each layer: • depends strictly on the previous • cannot be skipped • cannot be reordered • cannot be partially generated ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Dependency ensures: • structural coherence • traceability • deterministic reconstruction ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No element may exist without its antecedent. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ layer_skip dependency_break out_of_order_generation partial_layer_execution ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Evacuatio must not: ✗ derive questions directly from camera ✗ derive media without statements ✗ resolve without questions ============================================================ END SECTION 5 ============================================================ ============================================================ SECTION 6 — MEDIUM UNIQUENESS LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Every statement generates exactly one medium. ------------------------------------------------------------ FORMAL LAW ------------------------------------------------------------ ∀ S_i ∈ STATEMENTS(c): ∃! m_i such that: mediates(m_i, S_i) ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Media are: • uniquely bound to statements • non-shareable • non-optional • structurally required ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ |MEDIA(c)| = |STATEMENTS(c)| = 12 ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ missing_medium shared_medium ambiguous_mediation non_unique_mapping ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ No statement may: ✗ lack a medium ✗ share a medium ✗ produce multiple media ============================================================ END SECTION 6 ============================================================ ============================================================ SECTION 7 — INTERROGATIVE DERIVATION LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Questions are derived strictly from statements. ------------------------------------------------------------ FORMAL LAW ------------------------------------------------------------ ∀ q ∈ QUESTIONS(c): ∃ S_i such that: q = derive(S_i) ------------------------------------------------------------ STRUCTURE ------------------------------------------------------------ Each statement produces exactly: • QB(S_i) — polarity (whether) • QC(S_i) — identity (what) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ 12 statements × 2 questions = 24 ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No question may exist without a parent statement. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ question_without_statement direct_camera_question ancestry_break invalid_derivation ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Evacuatio must not: ✗ generate free-floating questions ✗ derive questions from media ✗ bypass statement layer ============================================================ END SECTION 7 ============================================================ ============================================================ SECTION 8 — DETERMINISM LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Evacuatio is fully deterministic. ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ • no randomness • no probabilistic branching • no sampling • no heuristic substitution ------------------------------------------------------------ FORMAL CONDITION ------------------------------------------------------------ ∀ c: EVACUATIO(c) produces: identical_output across all executions ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Given the same: • camera • TENET bindings Evacuatio must yield: identical: • statements • media • questions • structural relations ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Same input → same output ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ non_determinism random_generation inconsistent_output mode_divergence ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Evacuatio must not: ✗ vary outputs across runs ✗ depend on context outside TENET bindings ✗ introduce stochasticity ============================================================ END SECTION 8 ============================================================ ============================================================ SECTION 9 — PREPROCESSED EQUIVALENCE LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Precomputed Evacuatio is equivalent to generative Evacuatio. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ PREPROCESSED_EVACUATIO_3 := { EVACUATIO(c) | c ∈ CAMERA_SPACE } ------------------------------------------------------------ EQUIVALENCE LAW ------------------------------------------------------------ ∀ c: EVACUATIO(c) ≡ PREPROCESSED_EVACUATIO_3[c] ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Two execution modes: • GENERATIVE • PREPROCESSED must yield identical structures. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Preprocessed structures must preserve: • full cardinality • full dependency chain • full traceability • exact structural identity ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ non_equivalence partial_preprocessing structure_loss lookup_inconsistency ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ No preprocessed artifact may: ✗ compress structure ✗ omit layers ✗ alter ordering ============================================================ END SECTION 9 ============================================================ ============================================================ SECTION 10 — NON-COLLAPSE LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Evacuatio must preserve strict separation between layers. ------------------------------------------------------------ FORMAL DISTINCTIONS ------------------------------------------------------------ camera ≠ statement ≠ medium ≠ question ≠ solution ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Each layer retains: • identity • role • position in dependency chain ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No collapse between: • combinatory objects • inferential layers • interrogative outputs ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ layer_collapse identity_loss inferential_flattening cross_layer_merging ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Evacuatio must not: ✗ treat statements as media ✗ treat questions as statements ✗ collapse outputs into unified objects ============================================================ END SECTION 10 ============================================================ ============================================================ SECTION 11 — RELATION TO OTHER REGIMES ============================================================ PRINCIPLE ------------------------------------------------------------ Evacuatio operates as the closure layer within the Ars stack. ------------------------------------------------------------ RELATIONS ------------------------------------------------------------ FIGURA TERTIA → defines domain Evacuatio (TENET G) → performs closure TABULA (F) → reorganizes interrogative space MULTIPLICATIO (H) → amplifies stabilized structures ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Evacuatio: • stabilizes binary inference • produces complete inferential units • prepares downstream combinatory regimes ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No regime may bypass Evacuatio when closure is required. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ regime_bypass premature_expansion unstabilized_input invalid_cross_layer_execution ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Higher regimes must not: ✗ operate on non-evacuated input ✗ assume partial closure ✗ override Evacuatio outputs ============================================================ END SECTION 11 ============================================================ ============================================================ SECTION 12 — FUNCTION & CLOSURE ============================================================ FUNCTION ------------------------------------------------------------ TENET G governs: • Evacuatio as closure operator • domain restriction (FIGURA TERTIA) • structural cardinality invariants • strict dependency chain • deterministic execution law • preprocessed equivalence • non-collapse guarantees ------------------------------------------------------------ SYSTEM ROLE ------------------------------------------------------------ Evacuatio is: • the binary closure layer • the stabilizer of inferential structure • the prerequisite for higher combinatory operations ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ Evacuatio must always produce: a complete, deterministic, dependency-closed structure ------------------------------------------------------------ CLOSURE CONDITION ------------------------------------------------------------ A structure is Evacuatio-valid iff: • domain-valid • cardinality-valid • dependency-closed • deterministic • non-collapsed ------------------------------------------------------------ ANY violation implies: invalid Evacuatio ============================================================ END SECTION 12 ============================================================ ============================================================ END TENET G — EVACUATIO Version: 1.0.0-TENET-G-MAGNUM-NORMALIZED Status: CANONICAL-CANDIDATE / STRUCTURAL REGIME ============================================================ END_VERBATIM_ARTIFACT: TENET ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: ROTAS Source_File: 07_STACK_G/ROTAS_G_StructuralInstantiation.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 35237 Source_SHA256: 09beb52160df50b0545229241bcf376394ac407b918b8978f2603cbfda061fef ------------------------------------------------------------ ============================================================ ROTA G — EVACUATIO MACHINE (REWRITE) Ars Generalis Applied — ROTAS Layer Version: 1.0.0-ROTA-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET Authority: ROTAS (bound to TENET G) Scope: Structural topology for Evacuatio projection Mutation Policy: VERSION-CONTROLLED ONLY Class: ROTAS ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & CLASS ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-1-purpose-class-role) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle) - [ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-role) - [ROTA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g) - [NON-ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-non-role) - [LAYER POSITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-layer-position) - [SEPARATION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law) - [SECTION 2 — TOPOLOGICAL STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-2-topological-structure) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-2) - [STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-structure) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition) - [SECTION 3 — CHAMBER RING (36)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-3-chamber-ring-36) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-3) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-2) - [PROPERTIES](#local-section-07-stack-g-rotas-g-structuralinstantiation-properties) - [FUNCTION](#local-section-07-stack-g-rotas-g-structuralinstantiation-function) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-2) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note) - [SECTION 4 — STATEMENT RING (12)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-4-statement-ring-12) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-4) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-2) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-3) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-2) - [PROPERTIES](#local-section-07-stack-g-rotas-g-structuralinstantiation-properties-2) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-3) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note-2) - [SECTION 5 — QUESTION RING (24)](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-5-question-ring-24) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-5) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-3) - [CARDINALITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-cardinality-4) - [STRUCTURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-structure-2) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-3) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-4) - [NOTE](#local-section-07-stack-g-rotas-g-structuralinstantiation-note-3) - [SECTION 6 — CYCLIC ORDER & TRAVERSAL](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-6-cyclic-order-traversal) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-6) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-4) - [TRAVERSAL](#local-section-07-stack-g-rotas-g-structuralinstantiation-traversal) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-4) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-5) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-2) - [SECTION 7 — POSITIONAL MAPPING](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-7-positional-mapping) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-7) - [DEFINITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-definition-5) - [MAPPING](#local-section-07-stack-g-rotas-g-structuralinstantiation-mapping) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-5) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-6) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-3) - [SECTION 8 — NON-EXECUTION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-8-non-execution-law) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-8) - [FORMAL CONDITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-formal-condition) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-6) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-7) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-4) - [FAILURE CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions) - [SECTION 9 — INVARIANCE LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-9-invariance-law) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-9) - [PRESERVED INVARIANTS](#local-section-07-stack-g-rotas-g-structuralinstantiation-preserved-invariants) - [INTERPRETATION](#local-section-07-stack-g-rotas-g-structuralinstantiation-interpretation-7) - [CONSTRAINT](#local-section-07-stack-g-rotas-g-structuralinstantiation-constraint-8) - [PROHIBITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-prohibition-5) - [SECTION 10 — RELATION TO OTHER CLASSES](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-10-relation-to-other-classes) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-10) - [RELATIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-relations) - [TENET G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-tenet-g) - [ROTA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-rota-g-2) - [OPERA G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-opera-g) - [AREPO G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-arepo-g) - [SATOR G:](#local-section-07-stack-g-rotas-g-structuralinstantiation-sator-g) - [SEPARATION LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-separation-law-2) - [INTERFACE](#local-section-07-stack-g-rotas-g-structuralinstantiation-interface) - [SECTION 11 — VALIDITY CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-11-validity-conditions) - [PRINCIPLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-principle-11) - [VALIDITY FORMULA](#local-section-07-stack-g-rotas-g-structuralinstantiation-validity-formula) - [FAILURE CONDITIONS](#local-section-07-stack-g-rotas-g-structuralinstantiation-failure-conditions-2) - [SEVERITY](#local-section-07-stack-g-rotas-g-structuralinstantiation-severity) - [SECTION 12 — FUNCTION & CLOSURE](#local-section-07-stack-g-rotas-g-structuralinstantiation-section-12-function-closure) - [FUNCTION](#local-section-07-stack-g-rotas-g-structuralinstantiation-function-2) - [SYSTEM ROLE](#local-section-07-stack-g-rotas-g-structuralinstantiation-system-role) - [FINAL LAW](#local-section-07-stack-g-rotas-g-structuralinstantiation-final-law) - [CLOSURE CONDITION](#local-section-07-stack-g-rotas-g-structuralinstantiation-closure-condition) - [Status: PROPOSED / VALIDATION TARGET](#local-section-07-stack-g-rotas-g-structuralinstantiation-status-proposed-validation-target) ============================================================ SECTION 1 — PURPOSE & CLASS ROLE ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G defines the structural topology that supports Evacuatio projection. ------------------------------------------------------------ ROLE ------------------------------------------------------------ ROTA G: • exposes cyclic structure of Evacuatio • preserves cardinal mapping (36 / 12 / 24) • provides positional reference system • supports OPERA execution without executing it ------------------------------------------------------------ NON-ROLE ------------------------------------------------------------ ROTA G does NOT: • generate statements • derive questions • execute Evacuatio • validate admissibility • mediate interpretation ------------------------------------------------------------ LAYER POSITION ------------------------------------------------------------ TENET G → defines invariants ROTA G → exposes structure OPERA G → executes closure ------------------------------------------------------------ SEPARATION LAW ------------------------------------------------------------ ROTA G ≠ OPERA G ============================================================ END SECTION 1 ============================================================ ============================================================ SECTION 2 — TOPOLOGICAL STRUCTURE ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G is a multi-ring cyclic topology. ------------------------------------------------------------ STRUCTURE ------------------------------------------------------------ ROTA_G := topology( chamber_ring_36, statement_ring_12, question_ring_24 ) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |CHAMBERS| = 36 |STATEMENTS| = 12 |QUESTIONS| = 24 ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Each ring corresponds to a TENET G layer: • chamber ring → camera domain • statement ring → closure outputs • question ring → interrogative projections ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All rings must: • be cyclic • be closed • preserve cardinality ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ alter cardinality ✗ introduce additional nodes ✗ remove nodes ============================================================ END SECTION 2 ============================================================ ============================================================ SECTION 3 — CHAMBER RING (36) ============================================================ PRINCIPLE ------------------------------------------------------------ The inner ring represents FIGURA TERTIA. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ CHAMBER_RING := ordered set of all cameras: combinations({B..K}, 2) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |CHAMBER_RING| = 36 ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Each chamber: • is binary (X,Y) • is unique • corresponds to one Evacuatio domain ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ ROTA G exposes chamber space as: • complete • finite • cyclically indexable ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ generate chambers ✗ alter chamber identity ✗ reorder chambers arbitrarily ------------------------------------------------------------ NOTE ------------------------------------------------------------ Chamber selection belongs to OPERA G. ============================================================ END SECTION 3 ============================================================ ============================================================ SECTION 4 — STATEMENT RING (12) ============================================================ PRINCIPLE ------------------------------------------------------------ The statement ring represents the closure outputs. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ STATEMENT_RING := ordered cyclic positions: S₁ ... S₁₂ ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |STATEMENT_RING| = 12 ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Statements are: • positions in a cycle • not independent items • structurally ordered ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Cycle properties: • bidirectional pairing • relation symmetry (forward / inverse) • cyclic continuity ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ generate statements ✗ assign semantic content ✗ alter ordering rules ------------------------------------------------------------ NOTE ------------------------------------------------------------ Statement content belongs to OPERA G. ============================================================ END SECTION 4 ============================================================ ============================================================ SECTION 5 — QUESTION RING (24) ============================================================ PRINCIPLE ------------------------------------------------------------ The question ring represents interrogative projection. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ QUESTION_RING := ordered cyclic positions: Q₁ ... Q₂₄ ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |QUESTION_RING| = 24 ------------------------------------------------------------ STRUCTURE ------------------------------------------------------------ Each statement position corresponds to: • 2 question positions ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Questions are: • statement-anchored • cyclically distributed • structurally dependent ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ derive questions ✗ assign question meaning ✗ break statement-question mapping ------------------------------------------------------------ NOTE ------------------------------------------------------------ Question derivation belongs to OPERA G. ============================================================ END SECTION 5 ============================================================ ============================================================ SECTION 6 — CYCLIC ORDER & TRAVERSAL ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G defines cyclic order, not execution sequence. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ Each ring is a closed cycle: chamber_ring: 36-cycle statement_ring: 12-cycle question_ring: 24-cycle ------------------------------------------------------------ TRAVERSAL ------------------------------------------------------------ Traversal is: • circular • continuous • index-based ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Movement across the structure is: positional, not generative ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA G must not: ✗ enforce execution order ✗ simulate pipeline steps ✗ imply causation between positions ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ replace OPERA pipeline logic ✗ act as execution scheduler ============================================================ END SECTION 6 ============================================================ ============================================================ SECTION 7 — POSITIONAL MAPPING ============================================================ PRINCIPLE ------------------------------------------------------------ Each ring admits positional indexing. ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ Indices: chambers: 1..36 statements: 1..12 questions: 1..24 ------------------------------------------------------------ MAPPING ------------------------------------------------------------ Mapping relations: statement_position i → question_positions (2i−1, 2i) ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Position encodes: • structural location • adjacency • cyclic continuity ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Mapping must preserve: • cardinality • adjacency relations • statement-question pairing ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ assign semantic interpretation to positions ✗ alter mapping rules ============================================================ END SECTION 7 ============================================================ ============================================================ SECTION 8 — NON-EXECUTION LAW ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G is strictly non-executive. ------------------------------------------------------------ FORMAL CONDITION ------------------------------------------------------------ ROTA G does not: • generate • derive • resolve • validate ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ ROTA G is: • structural • representational • indexical ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All operations must occur outside ROTAS layer. ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ execute Evacuatio ✗ validate closure ✗ produce outputs ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ execution_leak topology_execution_confusion layer_collapse_ROTAS_OPERA ============================================================ END SECTION 8 ============================================================ ============================================================ SECTION 9 — INVARIANCE LAW ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G preserves TENET G invariants. ------------------------------------------------------------ PRESERVED INVARIANTS ------------------------------------------------------------ • 36 chambers • 12 statements • 24 questions • strict separation of layers • cyclic closure ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ ROTA G reflects: TENET G structure without modification ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ ROTA G must be: • invariant under traversal • invariant under indexing • invariant under projection ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ROTA G must not: ✗ distort structure ✗ introduce asymmetry ✗ permit partial mapping ============================================================ END SECTION 9 ============================================================ ============================================================ SECTION 10 — RELATION TO OTHER CLASSES ============================================================ PRINCIPLE ------------------------------------------------------------ ROTA G exists within class-separated architecture. ------------------------------------------------------------ RELATIONS ------------------------------------------------------------ TENET G: defines closure invariants ROTA G: exposes structural topology OPERA G: executes Evacuatio AREPO G: validates admissibility SATOR G: mediates outputs ------------------------------------------------------------ SEPARATION LAW ------------------------------------------------------------ ROTA G must not: ✗ perform TENET functions ✗ perform OPERA functions ✗ perform AREPO validation ✗ perform SATOR mediation ------------------------------------------------------------ INTERFACE ------------------------------------------------------------ ROTA G provides: positional structure consumed by: • OPERA G (for projection compatibility) • SATOR G (for positional explanation) ============================================================ END SECTION 10 ============================================================ ============================================================ SECTION 11 — VALIDITY CONDITIONS ============================================================ PRINCIPLE ------------------------------------------------------------ A valid ROTA G structure must satisfy all invariants. ------------------------------------------------------------ VALIDITY FORMULA ------------------------------------------------------------ valid(ROTA_G) ⇔ |CHAMBER_RING| = 36 ∧ |STATEMENT_RING| = 12 ∧ |QUESTION_RING| = 24 ∧ cyclic_integrity ∧ mapping_consistency ∧ layer_separation_preserved ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ cardinality_violation cycle_break mapping_inconsistency layer_collapse ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ All failures are: BLOCKING ============================================================ END SECTION 11 ============================================================ ============================================================ SECTION 12 — FUNCTION & CLOSURE ============================================================ FUNCTION ------------------------------------------------------------ ROTA G governs: • structural topology of Evacuatio • cyclic indexing of chambers • positional structure of statements • positional structure of questions • mapping relations between layers ------------------------------------------------------------ SYSTEM ROLE ------------------------------------------------------------ ROTA G is: • a topology carrier • a structural reference field • a non-executive projection layer ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ ROTA G must always remain: structurally invariant execution-independent cardinality-preserving ------------------------------------------------------------ CLOSURE CONDITION ------------------------------------------------------------ ROTA G is valid iff: it faithfully exposes TENET G structure without performing any operation ============================================================ END SECTION 12 ============================================================ ============================================================ END ROTA G — EVACUATIO MACHINE (REWRITE) Version: 1.0.0-ROTA-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET ============================================================ END_VERBATIM_ARTIFACT: ROTAS ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: AREPO Source_File: 07_STACK_G/AREPO_G_InputAdmissibility.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 33324 Source_SHA256: 8e1349ff72dfee4e0c14236483aa2a2430f4cb8673fd2dfce3c7cf8f6c615ff4 ------------------------------------------------------------ ============================================================ AREPO G — EVACUATIO ADMISSIBILITY & DIAGNOSTICS (REWRITE) Ars Generalis Applied — AREPO Layer Version: 1.0.0-AREPO-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET Authority: AREPO (bound to TENET G) Scope: Admissibility, validation, and diagnostics for Evacuatio Mutation Policy: VERSION-CONTROLLED ONLY Class: AREPO ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & CLASS ROLE](#local-section-07-stack-g-arepo-g-inputadmissibility-section-1-purpose-class-role) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle) - [ROLE](#local-section-07-stack-g-arepo-g-inputadmissibility-role) - [AREPO G:](#local-section-07-stack-g-arepo-g-inputadmissibility-arepo-g) - [NON-ROLE](#local-section-07-stack-g-arepo-g-inputadmissibility-non-role) - [CORE PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-core-principle) - [SEPARATION LAW](#local-section-07-stack-g-arepo-g-inputadmissibility-separation-law) - [SECTION 2 — ADMISSIBILITY PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-section-2-admissibility-principle) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-2) - [FORMAL THESIS](#local-section-07-stack-g-arepo-g-inputadmissibility-formal-thesis) - [INTERPRETATION](#local-section-07-stack-g-arepo-g-inputadmissibility-interpretation) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint) - [FAILURE CONDITIONS](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-conditions) - [SECTION 3 — PRE-EXECUTION GATE](#local-section-07-stack-g-arepo-g-inputadmissibility-section-3-pre-execution-gate) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-3) - [GATE CONDITIONS](#local-section-07-stack-g-arepo-g-inputadmissibility-gate-conditions) - [VALIDATION RULES](#local-section-07-stack-g-arepo-g-inputadmissibility-validation-rules) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-2) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity) - [SECTION 4 — TENET ENFORCEMENT](#local-section-07-stack-g-arepo-g-inputadmissibility-section-4-tenet-enforcement) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-4) - [VALIDATED INVARIANTS](#local-section-07-stack-g-arepo-g-inputadmissibility-validated-invariants) - [VALIDATION FUNCTION](#local-section-07-stack-g-arepo-g-inputadmissibility-validation-function) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-2) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-2) - [SECTION 5 — MODE VALIDATION & EQUIVALENCE](#local-section-07-stack-g-arepo-g-inputadmissibility-section-5-mode-validation-equivalence) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-5) - [MODES](#local-section-07-stack-g-arepo-g-inputadmissibility-modes) - [EQUIVALENCE LAW](#local-section-07-stack-g-arepo-g-inputadmissibility-equivalence-law) - [VALIDATION](#local-section-07-stack-g-arepo-g-inputadmissibility-validation) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-3) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-3) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-3) - [SECTION 6 — POST-EXECUTION VALIDATION](#local-section-07-stack-g-arepo-g-inputadmissibility-section-6-post-execution-validation) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-6) - [POSTCONDITION](#local-section-07-stack-g-arepo-g-inputadmissibility-postcondition) - [VALIDATION CHECKS](#local-section-07-stack-g-arepo-g-inputadmissibility-validation-checks) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-4) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-4) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-4) - [SECTION 7 — TRACEABILITY ENFORCEMENT](#local-section-07-stack-g-arepo-g-inputadmissibility-section-7-traceability-enforcement) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-7) - [REQUIRED TRACE](#local-section-07-stack-g-arepo-g-inputadmissibility-required-trace) - [VALIDATION](#local-section-07-stack-g-arepo-g-inputadmissibility-validation-2) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-5) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-5) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-5) - [SECTION 8 — FAILURE CLASSIFICATION](#local-section-07-stack-g-arepo-g-inputadmissibility-section-8-failure-classification) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-8) - [FAILURE TYPES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-types) - [BLOCKING:](#local-section-07-stack-g-arepo-g-inputadmissibility-blocking) - [NON_BLOCKING:](#local-section-07-stack-g-arepo-g-inputadmissibility-non-blocking) - [STRUCTURAL_WARNING:](#local-section-07-stack-g-arepo-g-inputadmissibility-structural-warning) - [DEFAULT POLICY](#local-section-07-stack-g-arepo-g-inputadmissibility-default-policy) - [DIAGNOSTIC STRUCTURE](#local-section-07-stack-g-arepo-g-inputadmissibility-diagnostic-structure) - [RULE](#local-section-07-stack-g-arepo-g-inputadmissibility-rule) - [SECTION 9 — FAILURE PROPAGATION](#local-section-07-stack-g-arepo-g-inputadmissibility-section-9-failure-propagation) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-9) - [PROPAGATION CHAIN](#local-section-07-stack-g-arepo-g-inputadmissibility-propagation-chain) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-6) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-6) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-6) - [SECTION 10 — EXECUTION ADMISSION CONTRACT](#local-section-07-stack-g-arepo-g-inputadmissibility-section-10-execution-admission-contract) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-10) - [FORMULA](#local-section-07-stack-g-arepo-g-inputadmissibility-formula) - [EFFECT](#local-section-07-stack-g-arepo-g-inputadmissibility-effect) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-7) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-7) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-7) - [SECTION 11 — OUTPUT ACCEPTANCE CONTRACT](#local-section-07-stack-g-arepo-g-inputadmissibility-section-11-output-acceptance-contract) - [PRINCIPLE](#local-section-07-stack-g-arepo-g-inputadmissibility-principle-11) - [FORMULA](#local-section-07-stack-g-arepo-g-inputadmissibility-formula-2) - [EFFECT](#local-section-07-stack-g-arepo-g-inputadmissibility-effect-2) - [CONSTRAINT](#local-section-07-stack-g-arepo-g-inputadmissibility-constraint-8) - [FAILURE CLASSES](#local-section-07-stack-g-arepo-g-inputadmissibility-failure-classes-8) - [SEVERITY](#local-section-07-stack-g-arepo-g-inputadmissibility-severity-8) - [SECTION 12 — FUNCTION & CLOSURE](#local-section-07-stack-g-arepo-g-inputadmissibility-section-12-function-closure) - [FUNCTION](#local-section-07-stack-g-arepo-g-inputadmissibility-function) - [SYSTEM ROLE](#local-section-07-stack-g-arepo-g-inputadmissibility-system-role) - [FINAL LAW](#local-section-07-stack-g-arepo-g-inputadmissibility-final-law) - [CLOSURE CONDITION](#local-section-07-stack-g-arepo-g-inputadmissibility-closure-condition) - [Status: PROPOSED / VALIDATION TARGET](#local-section-07-stack-g-arepo-g-inputadmissibility-status-proposed-validation-target) ============================================================ SECTION 1 — PURPOSE & CLASS ROLE ============================================================ PRINCIPLE ------------------------------------------------------------ AREPO G governs admissibility and diagnostics for all Evacuatio operations. ------------------------------------------------------------ ROLE ------------------------------------------------------------ AREPO G: • validates input requests • enforces TENET G invariants • controls OPERA execution permission • validates output structure • emits diagnostics ------------------------------------------------------------ NON-ROLE ------------------------------------------------------------ AREPO G does NOT: • execute Evacuatio (OPERA) • define doctrine (TENET) • define topology (ROTA) • mediate outputs (SATOR) ------------------------------------------------------------ CORE PRINCIPLE ------------------------------------------------------------ Only lawful Evacuatio may be executed or accepted. ------------------------------------------------------------ SEPARATION LAW ------------------------------------------------------------ AREPO G ≠ OPERA G ≠ TENET G ≠ ROTA G ≠ SATOR G ============================================================ END SECTION 1 ============================================================ ============================================================ SECTION 2 — ADMISSIBILITY PRINCIPLE ============================================================ PRINCIPLE ------------------------------------------------------------ A request is admissible only if fully lawful. ------------------------------------------------------------ FORMAL THESIS ------------------------------------------------------------ ADMIT(request) ⇔ lawful(camera) ∧ lawful(bindings) ∧ lawful(mode) ∧ no_regime_collapse ∧ dependencies_resolved ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ AREPO evaluates: structure, not usefulness ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All conditions must hold simultaneously. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ unlawful_request partial_binding inadmissible_structure ============================================================ END SECTION 2 ============================================================ ============================================================ SECTION 3 — PRE-EXECUTION GATE ============================================================ PRINCIPLE ------------------------------------------------------------ No execution may begin without AREPO admission. ------------------------------------------------------------ GATE CONDITIONS ------------------------------------------------------------ admissible(request) ⇔ valid_camera(request.camera) ∧ bound(TENET_A) ∧ bound(TENET_T) ∧ bound(TENET_E) ∧ valid_mode(request.mode) ∧ no_regime_collapse ∧ dependencies_resolved ------------------------------------------------------------ VALIDATION RULES ------------------------------------------------------------ valid_camera: camera ∈ FIGURA_TERTIA valid_mode: mode ∈ {GENERATIVE, PREPROCESSED} ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ If any condition fails: execution must not proceed ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ INVALID_CAMERA TENET_BINDING_MISSING INVALID_MODE REGIME_COLLAPSE UNRESOLVED_DEPENDENCY ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ All failures are: BLOCKING ============================================================ END SECTION 3 ============================================================ ============================================================ SECTION 4 — TENET ENFORCEMENT ============================================================ PRINCIPLE ------------------------------------------------------------ AREPO enforces TENET G invariants. ------------------------------------------------------------ VALIDATED INVARIANTS ------------------------------------------------------------ • domain restriction (FIGURA TERTIA) • cardinality (12–12–24) • dependency chain • medium uniqueness • determinism • preprocessed equivalence • non-collapse ------------------------------------------------------------ VALIDATION FUNCTION ------------------------------------------------------------ validate_tenet(output): assert camera ∈ FIGURA_TERTIA assert |statements| = 12 assert |media| = 12 assert |questions| = 24 assert dependency_chain_intact assert media_uniqueness assert deterministic_equivalence assert no_layer_collapse ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ TENET_DOMAIN_VIOLATION CARDINALITY_VIOLATION DEPENDENCY_BREAK MEDIUM_VIOLATION NON_DETERMINISM STRUCTURAL_COLLAPSE ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ All TENET violations are: BLOCKING ============================================================ END SECTION 4 ============================================================ ============================================================ SECTION 5 — MODE VALIDATION & EQUIVALENCE ============================================================ PRINCIPLE ------------------------------------------------------------ Execution modes must be lawful and equivalent. ------------------------------------------------------------ MODES ------------------------------------------------------------ GENERATIVE PREPROCESSED ------------------------------------------------------------ EQUIVALENCE LAW ------------------------------------------------------------ GENERATIVE(camera) ≡ PREPROCESSED(camera) ------------------------------------------------------------ VALIDATION ------------------------------------------------------------ Outputs must be identical in: • statements • media • questions • structure ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No divergence allowed between modes. ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ MODE_MISMATCH NON_EQUIVALENT_OUTPUT PREPROCESSED_DIVERGENCE ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 5 ============================================================ ============================================================ SECTION 6 — POST-EXECUTION VALIDATION ============================================================ PRINCIPLE ------------------------------------------------------------ All OPERA outputs must be validated after execution. ------------------------------------------------------------ POSTCONDITION ------------------------------------------------------------ valid(output) ⇔ structure_valid ∧ resolution_complete ∧ trace_complete ∧ no_missing_elements ------------------------------------------------------------ VALIDATION CHECKS ------------------------------------------------------------ • all statements present (12) • all media present (12) • all questions present (24) • all questions resolved • dependency chain preserved • no structural collapse ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Validation must be exhaustive. ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ INCOMPLETE_EXECUTION UNRESOLVED_QUERY MISSING_ELEMENT DEPENDENCY_BREAK STRUCTURAL_COLLAPSE ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 6 ============================================================ ============================================================ SECTION 7 — TRACEABILITY ENFORCEMENT ============================================================ PRINCIPLE ------------------------------------------------------------ No Evacuatio output may be opaque. ------------------------------------------------------------ REQUIRED TRACE ------------------------------------------------------------ trace := { camera_origin, derivation_chain, TENET_bindings, execution_mode, statement_question_ancestry } ------------------------------------------------------------ VALIDATION ------------------------------------------------------------ assert: • all fields present • chamber reconstructable • statement ancestry reconstructable • question ancestry reconstructable ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Trace must support: • full reconstruction • structural inspection ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ TRACE_MISSING TRACE_INCOMPLETE TRACE_NON_RECONSTRUCTIBLE OPAQUE_OUTPUT ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 7 ============================================================ ============================================================ SECTION 8 — FAILURE CLASSIFICATION ============================================================ PRINCIPLE ------------------------------------------------------------ All failures must be explicit and typed. ------------------------------------------------------------ FAILURE TYPES ------------------------------------------------------------ BLOCKING: execution denied or output invalid NON_BLOCKING: lawful output with warning STRUCTURAL_WARNING: potential drift risk ------------------------------------------------------------ DEFAULT POLICY ------------------------------------------------------------ For Evacuatio: almost all failures are BLOCKING ------------------------------------------------------------ DIAGNOSTIC STRUCTURE ------------------------------------------------------------ DIAGNOSTIC := { code, type, stage, violated_condition, affected_elements } ------------------------------------------------------------ RULE ------------------------------------------------------------ No silent failure. ============================================================ END SECTION 8 ============================================================ ============================================================ SECTION 9 — FAILURE PROPAGATION ============================================================ PRINCIPLE ------------------------------------------------------------ Failures must propagate without mutation. ------------------------------------------------------------ PROPAGATION CHAIN ------------------------------------------------------------ AREPO → OPERA → SATOR (if applicable) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Failures must not be: • masked • reinterpreted • downgraded implicitly ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ MASKED_FAILURE REINTERPRETED_FAILURE INVALID_RECOVERY ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 9 ============================================================ ============================================================ SECTION 10 — EXECUTION ADMISSION CONTRACT ============================================================ PRINCIPLE ------------------------------------------------------------ AREPO defines when OPERA may execute. ------------------------------------------------------------ FORMULA ------------------------------------------------------------ ADMIT_TO_OPERA(request) ⇔ admissible(request) ∧ tenet_bindings_lawful ∧ mode_equivalence_valid ------------------------------------------------------------ EFFECT ------------------------------------------------------------ If TRUE: OPERA execution allowed If FALSE: execution denied ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ OPERA must not self-authorize execution. ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ ADMISSION_DENIED PRE_EXECUTION_REJECTION ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 10 ============================================================ ============================================================ SECTION 11 — OUTPUT ACCEPTANCE CONTRACT ============================================================ PRINCIPLE ------------------------------------------------------------ AREPO defines when output is valid. ------------------------------------------------------------ FORMULA ------------------------------------------------------------ ACCEPT_OUTPUT(output) ⇔ tenet_valid(output) ∧ post_execution_valid(output) ∧ trace_valid(output) ------------------------------------------------------------ EFFECT ------------------------------------------------------------ If TRUE: output accepted If FALSE: output rejected ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Partial validity is not allowed. ------------------------------------------------------------ FAILURE CLASSES ------------------------------------------------------------ OUTPUT_REJECTED POST_EXECUTION_INVALID TRACE_FAILURE ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 11 ============================================================ ============================================================ SECTION 12 — FUNCTION & CLOSURE ============================================================ FUNCTION ------------------------------------------------------------ AREPO G governs: • admissibility of requests • enforcement of TENET G • validation of OPERA outputs • traceability enforcement • diagnostics emission ------------------------------------------------------------ SYSTEM ROLE ------------------------------------------------------------ AREPO G is: • control gate • validation authority • diagnostic interface ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ AREPO admits only that which is: structurally lawful fully closed fully traceable ------------------------------------------------------------ CLOSURE CONDITION ------------------------------------------------------------ A request/output is valid iff: it satisfies all TENET G invariants and passes all AREPO checks ------------------------------------------------------------ ANY violation implies: inadmissibility ============================================================ END SECTION 12 ============================================================ ============================================================ END AREPO G — EVACUATIO ADMISSIBILITY & DIAGNOSTICS (REWRITE) Version: 1.0.0-AREPO-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET ============================================================ END_VERBATIM_ARTIFACT: AREPO ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: OPERA Source_File: 07_STACK_G/OPERA_G_ExecutionMechanism.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 36504 Source_SHA256: fbdba8cf765ab95365c91b200c5b03cd98bf449b2a3e46e021bd0815ae41eb7a ------------------------------------------------------------ ============================================================ OPERA G — EVACUATIO EXECUTION KERNEL (REWRITE) Ars Generalis Applied — OPERA Layer Version: 1.0.1-OPERA-G-TENET-D-SUPPORT Status: PROPOSED / VALIDATION TARGET Authority: OPERA (bound to TENET G / AREPO G / ROTA G) Scope: Runtime execution of Evacuatio over FIGURA TERTIA Mutation Policy: VERSION-CONTROLLED ONLY Class: OPERA ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & CLASS ROLE](#local-section-07-stack-g-opera-g-executionmechanism-section-1-purpose-class-role) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle) - [ROLE](#local-section-07-stack-g-opera-g-executionmechanism-role) - [OPERA G:](#local-section-07-stack-g-opera-g-executionmechanism-opera-g) - [NON-ROLE](#local-section-07-stack-g-opera-g-executionmechanism-non-role) - [CORE FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-core-function) - [SEPARATION LAW](#local-section-07-stack-g-opera-g-executionmechanism-separation-law) - [SECTION 2 — RUNTIME ENTRY CONTRACT](#local-section-07-stack-g-opera-g-executionmechanism-section-2-runtime-entry-contract) - [INPUT](#local-section-07-stack-g-opera-g-executionmechanism-input) - [PRECONDITIONS (AREPO)](#local-section-07-stack-g-opera-g-executionmechanism-preconditions-arepo) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions) - [SECTION 3 — EXECUTION MODES](#local-section-07-stack-g-opera-g-executionmechanism-section-3-execution-modes) - [MODE A — GENERATIVE](#local-section-07-stack-g-opera-g-executionmechanism-mode-a-generative) - [MODE B — PREPROCESSED](#local-section-07-stack-g-opera-g-executionmechanism-mode-b-preprocessed) - [EQUIVALENCE LAW](#local-section-07-stack-g-opera-g-executionmechanism-equivalence-law) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-2) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-2) - [PROHIBITION](#local-section-07-stack-g-opera-g-executionmechanism-prohibition) - [SECTION 4 — CORE EXECUTION PIPELINE](#local-section-07-stack-g-opera-g-executionmechanism-section-4-core-execution-pipeline) - [PIPELINE (STRICT ORDER)](#local-section-07-stack-g-opera-g-executionmechanism-pipeline-strict-order) - [INVARIANT](#local-section-07-stack-g-opera-g-executionmechanism-invariant) - [DEPENDENCY LAW](#local-section-07-stack-g-opera-g-executionmechanism-dependency-law) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-3) - [SECTION 5 — STATEMENT GENERATION](#local-section-07-stack-g-opera-g-executionmechanism-section-5-statement-generation) - [FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-function) - [RULE](#local-section-07-stack-g-opera-g-executionmechanism-rule) - [CARDINALITY](#local-section-07-stack-g-opera-g-executionmechanism-cardinality) - [PROPERTIES](#local-section-07-stack-g-opera-g-executionmechanism-properties) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-3) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-4) - [SECTION 6 — MEDIUM DERIVATION](#local-section-07-stack-g-opera-g-executionmechanism-section-6-medium-derivation) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle-2) - [FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-function-2) - [CARDINALITY](#local-section-07-stack-g-opera-g-executionmechanism-cardinality-2) - [INVARIANT](#local-section-07-stack-g-opera-g-executionmechanism-invariant-2) - [PROPERTIES](#local-section-07-stack-g-opera-g-executionmechanism-properties-2) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-4) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-5) - [SECTION 7 — QUESTION DERIVATION](#local-section-07-stack-g-opera-g-executionmechanism-section-7-question-derivation) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle-3) - [FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-function-3) - [CARDINALITY](#local-section-07-stack-g-opera-g-executionmechanism-cardinality-3) - [INVARIANT](#local-section-07-stack-g-opera-g-executionmechanism-invariant-3) - [PROPERTIES](#local-section-07-stack-g-opera-g-executionmechanism-properties-3) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-5) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-6) - [SECTION 8 — RULE BINDING (TENET E)](#local-section-07-stack-g-opera-g-executionmechanism-section-8-rule-binding-tenet-e) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle-4) - [APPLICATION](#local-section-07-stack-g-opera-g-executionmechanism-application) - [EFFECT](#local-section-07-stack-g-opera-g-executionmechanism-effect) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-6) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-7) - [PROHIBITION](#local-section-07-stack-g-opera-g-executionmechanism-prohibition-2) - [SECTION 9 — RESOLUTION ENGINE](#local-section-07-stack-g-opera-g-executionmechanism-section-9-resolution-engine) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle-5) - [FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-function-4) - [OUTPUT](#local-section-07-stack-g-opera-g-executionmechanism-output) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-7) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-8) - [NOTE](#local-section-07-stack-g-opera-g-executionmechanism-note) - [SECTION 10 — OUTPUT STRUCTURE](#local-section-07-stack-g-opera-g-executionmechanism-section-10-output-structure) - [OUTPUT OBJECT](#local-section-07-stack-g-opera-g-executionmechanism-output-object) - [TRACE STRUCTURE](#local-section-07-stack-g-opera-g-executionmechanism-trace-structure) - [PROPERTIES](#local-section-07-stack-g-opera-g-executionmechanism-properties-4) - [POSTCONDITION](#local-section-07-stack-g-opera-g-executionmechanism-postcondition) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-9) - [SECTION 11 — NON-TOPOLOGY LAW](#local-section-07-stack-g-opera-g-executionmechanism-section-11-non-topology-law) - [PRINCIPLE](#local-section-07-stack-g-opera-g-executionmechanism-principle-6) - [INTERPRETATION](#local-section-07-stack-g-opera-g-executionmechanism-interpretation) - [ROTA G:](#local-section-07-stack-g-opera-g-executionmechanism-rota-g) - [OPERA G:](#local-section-07-stack-g-opera-g-executionmechanism-opera-g-2) - [CONSTRAINT](#local-section-07-stack-g-opera-g-executionmechanism-constraint-8) - [PROHIBITION](#local-section-07-stack-g-opera-g-executionmechanism-prohibition-3) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-10) - [SECTION 12 — TENET I CARRIER CONSISTENCY REFERENCE](#local-section-07-stack-g-opera-g-executionmechanism-section-12-tenet-i-carrier-consistency-reference) - [REFERENCE SCOPE](#local-section-07-stack-g-opera-g-executionmechanism-reference-scope) - [CONSISTENCY CHECK](#local-section-07-stack-g-opera-g-executionmechanism-consistency-check) - [NON-NORMALIZATION RULE](#local-section-07-stack-g-opera-g-executionmechanism-non-normalization-rule) - [FAILURE CONDITIONS](#local-section-07-stack-g-opera-g-executionmechanism-failure-conditions-11) - [SECTION 13 — FUNCTION & CLOSURE](#local-section-07-stack-g-opera-g-executionmechanism-section-13-function-closure) - [FUNCTION](#local-section-07-stack-g-opera-g-executionmechanism-function-5) - [SYSTEM ROLE](#local-section-07-stack-g-opera-g-executionmechanism-system-role) - [FINAL LAW](#local-section-07-stack-g-opera-g-executionmechanism-final-law) - [VALIDITY CONDITION](#local-section-07-stack-g-opera-g-executionmechanism-validity-condition) - [Status: PROPOSED / VALIDATION TARGET](#local-section-07-stack-g-opera-g-executionmechanism-status-proposed-validation-target) ============================================================ SECTION 1 — PURPOSE & CLASS ROLE ============================================================ PRINCIPLE ------------------------------------------------------------ OPERA G executes Evacuatio as a deterministic closure. ------------------------------------------------------------ ROLE ------------------------------------------------------------ OPERA G: • performs closure over a camera • generates statements (12) • derives media (12) • derives questions (24) • resolves interrogatives • emits fully closed structure ------------------------------------------------------------ NON-ROLE ------------------------------------------------------------ OPERA G does NOT: • define invariants (TENET) • validate admissibility (AREPO) • define topology (ROTA) • mediate output (SATOR) ------------------------------------------------------------ CORE FUNCTION ------------------------------------------------------------ execute: camera → EvacuatedStructure under: deterministic closure strict dependency order ------------------------------------------------------------ SEPARATION LAW ------------------------------------------------------------ OPERA G ≠ TENET G ≠ AREPO G ≠ ROTA G ≠ SATOR G ============================================================ END SECTION 1 ============================================================ ============================================================ SECTION 2 — RUNTIME ENTRY CONTRACT ============================================================ INPUT ------------------------------------------------------------ EVACUATIO_REQUEST := { camera: (l_i, l_j), bindings: { TENET_A: required, TENET_T: required, TENET_D: required as articulation support when absolute and relative principles are used together, TENET_E: required, TENET_I: required when execution surface carries mixed A/T/E carrier identity }, mode: GENERATIVE OR PREPROCESSED } ------------------------------------------------------------ PRECONDITIONS (AREPO) ------------------------------------------------------------ Execution requires: • valid(camera ∈ FIGURA_TERTIA) • TENET bindings resolved - TENET D articulation resolved when TENET A and TENET T are jointly operative • TENET I carrier discipline resolved where A/T/E mixture is present • no regime collapse • dependencies resolved ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ OPERA G must not execute without: AREPO admission ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ INVALID_CAMERA TENET_BINDING_MISSING TENET_D_ARTICULATION_MISSING REGIME_COLLAPSE UNRESOLVED_DEPENDENCY ============================================================ END SECTION 2 ============================================================ ============================================================ SECTION 3 — EXECUTION MODES ============================================================ MODE A — GENERATIVE ------------------------------------------------------------ compute: EVACUATIO(camera) ------------------------------------------------------------ MODE B — PREPROCESSED ------------------------------------------------------------ retrieve: PREPROCESSED_EVACUATIO_3[camera] ------------------------------------------------------------ EQUIVALENCE LAW ------------------------------------------------------------ GENERATIVE(camera) ≡ PREPROCESSED(camera) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All modes must produce identical: • statements • media • questions • structure ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ MODE_MISMATCH NON_EQUIVALENT_OUTPUT ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ OPERA G must not: ✗ introduce mode-dependent variation ============================================================ END SECTION 3 ============================================================ ============================================================ SECTION 4 — CORE EXECUTION PIPELINE ============================================================ PIPELINE (STRICT ORDER) ------------------------------------------------------------ 1. validate(camera) 2. bind(TENET_A, TENET_T) 2a. bind(TENET_I) when mixed A/T/E carrier identity is present 3. generate_statements(camera) 4. derive_media(statements) 5. derive_questions(statements) 6. apply_rules(TENET_E) 7. resolve(questions) 8. assemble(output) ------------------------------------------------------------ INVARIANT ------------------------------------------------------------ No step may be: • skipped • reordered • partially executed ------------------------------------------------------------ DEPENDENCY LAW ------------------------------------------------------------ camera → statements → media → questions → resolution ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ PIPELINE_VIOLATION PARTIAL_EXECUTION DEPENDENCY_BREAK ============================================================ END SECTION 4 ============================================================ ============================================================ SECTION 5 — STATEMENT GENERATION ============================================================ FUNCTION ------------------------------------------------------------ generate_statements(camera): input: (X, Y) + T_pair output: statements[12] ------------------------------------------------------------ RULE ------------------------------------------------------------ statements := closure_under_exchange( {X, Y, T₁, T₂} ) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |statements| = 12 ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Statements must: • be complete • be ordered • preserve bidirectional relations ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Statement set must be: • closed • deterministic ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ STATEMENT_CARDINALITY_ERROR INVALID_RELATION_SET INCOMPLETE_CLOSURE ============================================================ END SECTION 5 ============================================================ ============================================================ SECTION 6 — MEDIUM DERIVATION ============================================================ PRINCIPLE ------------------------------------------------------------ Each statement yields exactly one medium. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ derive_media(statements): for each S_i: m_i := extract_medium(S_i) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |media| = 12 ------------------------------------------------------------ INVARIANT ------------------------------------------------------------ ∀ S_i: ∃! m_i ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Media must be: • unique per statement • structurally derived • non-optional ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No statement may: • lack a medium • share a medium • produce multiple media ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ MEDIUM_EXTRACTION_ERROR NON_UNIQUE_MEDIUM MISSING_MEDIUM ============================================================ END SECTION 6 ============================================================ ============================================================ SECTION 7 — QUESTION DERIVATION ============================================================ PRINCIPLE ------------------------------------------------------------ Questions are derived from statements only. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ derive_questions(statements): for each S_i: yield QB(S_i) yield QC(S_i) ------------------------------------------------------------ CARDINALITY ------------------------------------------------------------ |questions| = 24 ------------------------------------------------------------ INVARIANT ------------------------------------------------------------ 2 questions per statement ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Questions must: • preserve ancestry (S_i → Q) • remain statement-anchored • be structurally derivable ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No question may: • exist without parent statement • be derived from media • bypass derivation chain ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ QUESTION_CARDINALITY_ERROR ANCESTRY_BREAK INVALID_DERIVATION ============================================================ END SECTION 7 ============================================================ ============================================================ SECTION 8 — RULE BINDING (TENET E) ============================================================ PRINCIPLE ------------------------------------------------------------ Evacuatio requires rule binding for interrogative structure. ------------------------------------------------------------ APPLICATION ------------------------------------------------------------ apply: Rule_B Rule_C to: statements and questions ------------------------------------------------------------ EFFECT ------------------------------------------------------------ Rules: • structure interrogative domain • define polarity (QB) • define identity (QC) ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Both rules must be applied. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ RULE_BINDING_MISSING PARTIAL_RULE_APPLICATION ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ OPERA G must not: ✗ execute without TENET E ✗ partially apply rules ============================================================ END SECTION 8 ============================================================ ============================================================ SECTION 9 — RESOLUTION ENGINE ============================================================ PRINCIPLE ------------------------------------------------------------ All derived questions must be resolved. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ resolve(questions): for each q: assign: affirmative OR negative ------------------------------------------------------------ OUTPUT ------------------------------------------------------------ solutions := resolved questions ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All questions must be: • evaluated • resolved • included in output ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ UNRESOLVED_QUERY NON_TERMINAL_EXECUTION ------------------------------------------------------------ NOTE ------------------------------------------------------------ Resolution is: part of closure ============================================================ END SECTION 9 ============================================================ ============================================================ SECTION 10 — OUTPUT STRUCTURE ============================================================ OUTPUT OBJECT ------------------------------------------------------------ EvacuatedStructure := { camera, T_pair, statements[12], media[12], questions[24], solutions, trace } ------------------------------------------------------------ TRACE STRUCTURE ------------------------------------------------------------ trace := { derivation_chain, TENET_bindings, execution_mode, statement_question_ancestry } ------------------------------------------------------------ PROPERTIES ------------------------------------------------------------ Output must be: • deterministic • complete • traceable • reproducible ------------------------------------------------------------ POSTCONDITION ------------------------------------------------------------ valid(EvacuatedStructure) ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ INCOMPLETE_OUTPUT TRACE_BREAK INVALID_STRUCTURE ============================================================ END SECTION 10 ============================================================ ============================================================ SECTION 11 — NON-TOPOLOGY LAW ============================================================ PRINCIPLE ------------------------------------------------------------ OPERA G executes independently of topology. ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ ROTA G: provides structure OPERA G: performs closure ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ OPERA G must not: • depend on cyclic traversal • require positional indexing • require angular mapping ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ OPERA G must not: ✗ embed topology logic ✗ simulate rotation ✗ rely on positional state ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ TOPOLOGY_DEPENDENCY ROTA_EXECUTION_LEAK ============================================================ END SECTION 11 ============================================================ ============================================================ SECTION 12 — TENET I CARRIER CONSISTENCY REFERENCE ============================================================ OPERA G must respect TENET I when Evacuatio execution produces or consumes structures where A, T, and E carriers coexist. ------------------------------------------------------------ REFERENCE SCOPE ------------------------------------------------------------ TENET I is referenced only for: • full token presence • carrier identity • ordinal integrity • regime distinction across A / T / E carriers • prohibition of identity by numeric value alone ------------------------------------------------------------ CONSISTENCY CHECK ------------------------------------------------------------ Evacuatio execution must not: • infer carrier identity from partial token • collapse A / T / E carrier ranges • treat symbolic or numeric coincidence as identity • lose TENET binding traceability in output • replace K with K1 or K2 in combinatory operations ------------------------------------------------------------ NON-NORMALIZATION RULE ------------------------------------------------------------ This reference does not normalize OPERA G into TENET I and does not convert Evacuatio closure into MIXTURA execution. It binds OPERA G only to TENET I carrier discipline where mixed-carrier identity is present. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ TENET_I_REFERENCE_MISSING MIXTURA_TOKEN_INCOMPLETE MIXTURA_ORDINAL_DRIFT MIXTURA_REGIME_COLLAPSE MIXTURA_NUMERIC_IDENTITY_ERROR ============================================================ END SECTION 12 ============================================================ ============================================================ SECTION 13 — FUNCTION & CLOSURE ============================================================ FUNCTION ------------------------------------------------------------ OPERA G governs: • Evacuatio execution • deterministic closure • statement generation • media derivation • question derivation • interrogative resolution • traceable output ------------------------------------------------------------ SYSTEM ROLE ------------------------------------------------------------ OPERA G is: • the execution kernel • the closure engine • the inferential stabilizer ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ OPERA G must always produce: a complete, deterministic, dependency-closed structure ------------------------------------------------------------ VALIDITY CONDITION ------------------------------------------------------------ valid_execute(request) ⇔ admitted_by_AREPO ∧ valid(camera) ∧ exact12(statements) ∧ exact12(media) ∧ exact24(questions) ∧ resolved(questions) ∧ trace_complete ------------------------------------------------------------ ANY violation implies: invalid execution ============================================================ END SECTION 13 ============================================================ ============================================================ END OPERA G — EVACUATIO EXECUTION KERNEL (REWRITE) Version: 1.0.0-OPERA-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET ============================================================ END_VERBATIM_ARTIFACT: OPERA ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: SATOR Source_File: 07_STACK_G/SATOR_G_OutputRequirements.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 28140 Source_SHA256: 792835c05bd752c284c6578003c753c2e9d092362b633bb499b0d8899a2b2532 ------------------------------------------------------------ ============================================================ SATOR G — EVACUATIO MEDIATION LAYER (REWRITE) Ars Generalis Applied — SATOR Layer Version: 1.0.0-SATOR-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET Authority: SATOR (bound to TENET G / AREPO G / OPERA G) Scope: Mediation of Evacuatio outputs Mutation Policy: VERSION-CONTROLLED ONLY Class: SATOR ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [SECTION 1 — PURPOSE & CLASS ROLE](#local-section-07-stack-g-sator-g-outputrequirements-section-1-purpose-class-role) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle) - [ROLE](#local-section-07-stack-g-sator-g-outputrequirements-role) - [SATOR G:](#local-section-07-stack-g-sator-g-outputrequirements-sator-g) - [NON-ROLE](#local-section-07-stack-g-sator-g-outputrequirements-non-role) - [CORE PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-core-principle) - [SEPARATION LAW](#local-section-07-stack-g-sator-g-outputrequirements-separation-law) - [SECTION 2 — MEDIATION OBJECT](#local-section-07-stack-g-sator-g-outputrequirements-section-2-mediation-object) - [INPUT](#local-section-07-stack-g-sator-g-outputrequirements-input) - [OUTPUT](#local-section-07-stack-g-sator-g-outputrequirements-output) - [RULE](#local-section-07-stack-g-sator-g-outputrequirements-rule) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions) - [SECTION 3 — CANONICAL PRESERVATION LAW](#local-section-07-stack-g-sator-g-outputrequirements-section-3-canonical-preservation-law) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-2) - [PRESERVED ELEMENTS](#local-section-07-stack-g-sator-g-outputrequirements-preserved-elements) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-2) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-2) - [SECTION 4 — DUAL-LAYER OUTPUT](#local-section-07-stack-g-sator-g-outputrequirements-section-4-dual-layer-output) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-3) - [LAYER A — CANONICAL](#local-section-07-stack-g-sator-g-outputrequirements-layer-a-canonical) - [LAYER B — CONTEXTUAL](#local-section-07-stack-g-sator-g-outputrequirements-layer-b-contextual) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-3) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-3) - [SECTION 5 — MAPPING LAW](#local-section-07-stack-g-sator-g-outputrequirements-section-5-mapping-law) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-4) - [FUNCTION](#local-section-07-stack-g-sator-g-outputrequirements-function) - [REQUIREMENTS](#local-section-07-stack-g-sator-g-outputrequirements-requirements) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-4) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-4) - [SECTION 6 — QUESTION MEDIATION LAW](#local-section-07-stack-g-sator-g-outputrequirements-section-6-question-mediation-law) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-5) - [STRUCTURE](#local-section-07-stack-g-sator-g-outputrequirements-structure) - [MEDIATION RULE](#local-section-07-stack-g-sator-g-outputrequirements-mediation-rule) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-5) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-5) - [SECTION 7 — CONTEXTUAL PROJECTION](#local-section-07-stack-g-sator-g-outputrequirements-section-7-contextual-projection) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-6) - [FUNCTION](#local-section-07-stack-g-sator-g-outputrequirements-function-2) - [REQUIREMENTS](#local-section-07-stack-g-sator-g-outputrequirements-requirements-2) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-6) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-6) - [SECTION 8 — TRACE SUMMARY](#local-section-07-stack-g-sator-g-outputrequirements-section-8-trace-summary) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-7) - [TRACE SUMMARY](#local-section-07-stack-g-sator-g-outputrequirements-trace-summary) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-7) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-7) - [SECTION 9 — NON-GENERATION LAW](#local-section-07-stack-g-sator-g-outputrequirements-section-9-non-generation-law) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-8) - [FORMAL CONDITION](#local-section-07-stack-g-sator-g-outputrequirements-formal-condition) - [INTERPRETATION](#local-section-07-stack-g-sator-g-outputrequirements-interpretation) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-8) - [SECTION 10 — USER INTERACTION GATE](#local-section-07-stack-g-sator-g-outputrequirements-section-10-user-interaction-gate) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-9) - [PATTERN](#local-section-07-stack-g-sator-g-outputrequirements-pattern) - [CONSTRAINT](#local-section-07-stack-g-sator-g-outputrequirements-constraint-8) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-9) - [SECTION 11 — VALIDITY CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-section-11-validity-conditions) - [PRINCIPLE](#local-section-07-stack-g-sator-g-outputrequirements-principle-10) - [VALIDITY FORMULA](#local-section-07-stack-g-sator-g-outputrequirements-validity-formula) - [FAILURE CONDITIONS](#local-section-07-stack-g-sator-g-outputrequirements-failure-conditions-10) - [SEVERITY](#local-section-07-stack-g-sator-g-outputrequirements-severity) - [SECTION 12 — FUNCTION & CLOSURE](#local-section-07-stack-g-sator-g-outputrequirements-section-12-function-closure) - [FUNCTION](#local-section-07-stack-g-sator-g-outputrequirements-function-3) - [SYSTEM ROLE](#local-section-07-stack-g-sator-g-outputrequirements-system-role) - [FINAL LAW](#local-section-07-stack-g-sator-g-outputrequirements-final-law) - [CLOSURE CONDITION](#local-section-07-stack-g-sator-g-outputrequirements-closure-condition) - [Status: PROPOSED / VALIDATION TARGET](#local-section-07-stack-g-sator-g-outputrequirements-status-proposed-validation-target) ============================================================ SECTION 1 — PURPOSE & CLASS ROLE ============================================================ PRINCIPLE ------------------------------------------------------------ SATOR G governs the mediation of Evacuatio outputs. ------------------------------------------------------------ ROLE ------------------------------------------------------------ SATOR G: • exposes Evacuatio results • preserves canonical structure • renders outputs interpretable • maintains traceability ------------------------------------------------------------ NON-ROLE ------------------------------------------------------------ SATOR G does NOT: • execute Evacuatio (OPERA) • validate admissibility (AREPO) • define doctrine (TENET) • define topology (ROTA) ------------------------------------------------------------ CORE PRINCIPLE ------------------------------------------------------------ Mediation must preserve structure. ------------------------------------------------------------ SEPARATION LAW ------------------------------------------------------------ SATOR G ≠ OPERA G ≠ AREPO G ≠ TENET G ≠ ROTA G ============================================================ END SECTION 1 ============================================================ ============================================================ SECTION 2 — MEDIATION OBJECT ============================================================ INPUT ------------------------------------------------------------ EvacuatedStructure := { camera, T_pair, statements[12], media[12], questions[24], solutions, trace } ------------------------------------------------------------ OUTPUT ------------------------------------------------------------ SATOR_OUTPUT := { canonical_layer, contextual_layer, mapping_layer, trace_summary } ------------------------------------------------------------ RULE ------------------------------------------------------------ No mediation without canonical input. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Canonical structure must be preserved. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ missing_canonical_input invalid_structure ============================================================ END SECTION 2 ============================================================ ============================================================ SECTION 3 — CANONICAL PRESERVATION LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Canonical structure must remain intact. ------------------------------------------------------------ PRESERVED ELEMENTS ------------------------------------------------------------ • camera • T_pair • statement identity • question ancestry • trace anchor ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SATOR G may transform: • wording SATOR G must not transform: • structure ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ canonical_erasure structure_mutation trace_loss ============================================================ END SECTION 3 ============================================================ ============================================================ SECTION 4 — DUAL-LAYER OUTPUT ============================================================ PRINCIPLE ------------------------------------------------------------ Mediation produces two layers. ------------------------------------------------------------ LAYER A — CANONICAL ------------------------------------------------------------ Contains: • original structure • chamber identity • statements • questions (optional display) ------------------------------------------------------------ LAYER B — CONTEXTUAL ------------------------------------------------------------ Contains: • interpretative representation • user-legible content ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Contextual layer must be derivable from canonical. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ context_only_output non_derivable_projection ============================================================ END SECTION 4 ============================================================ ============================================================ SECTION 5 — MAPPING LAW ============================================================ PRINCIPLE ------------------------------------------------------------ All contextual output must map to canonical structure. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ map(statement, context) → representation ------------------------------------------------------------ REQUIREMENTS ------------------------------------------------------------ Mapping must preserve: • relation identity • directionality • chamber membership ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ No mapping without traceable origin. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ mapping_without_anchor relation_inversion structure_detachment ============================================================ END SECTION 5 ============================================================ ============================================================ SECTION 6 — QUESTION MEDIATION LAW ============================================================ PRINCIPLE ------------------------------------------------------------ Questions must remain anchored to their originating statements. ------------------------------------------------------------ STRUCTURE ------------------------------------------------------------ For each statement S_i: S_i → QB(S_i) → QC(S_i) ------------------------------------------------------------ MEDIATION RULE ------------------------------------------------------------ SATOR G may: • expose questions • interpret questions • contextualize questions ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Questions must not: • exist without parent statement • be presented independently • lose ancestry trace ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ orphan_question free_floating_interrogative ancestry_loss ============================================================ END SECTION 6 ============================================================ ============================================================ SECTION 7 — CONTEXTUAL PROJECTION ============================================================ PRINCIPLE ------------------------------------------------------------ Canonical statements may be projected into context. ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ map(statement, context) → contextual_output ------------------------------------------------------------ REQUIREMENTS ------------------------------------------------------------ Projection must preserve: • structural relation • directionality (when applicable) • derivation origin ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Projection must be: • reversible • derivable • traceable ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ projection_without_mapping non_reversible_projection structure_loss ============================================================ END SECTION 7 ============================================================ ============================================================ SECTION 8 — TRACE SUMMARY ============================================================ PRINCIPLE ------------------------------------------------------------ Trace may be compressed but not erased. ------------------------------------------------------------ TRACE SUMMARY ------------------------------------------------------------ trace_summary := { camera_id, active_statement_reference, question_ancestry (if used), mapping_note } ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Full trace must remain recoverable. ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ trace_erasure unrecoverable_summary opaque_output ============================================================ END SECTION 8 ============================================================ ============================================================ SECTION 9 — NON-GENERATION LAW ============================================================ PRINCIPLE ------------------------------------------------------------ SATOR G does not generate Evacuatio content. ------------------------------------------------------------ FORMAL CONDITION ------------------------------------------------------------ SATOR G must not: • create new statements • derive new questions • alter media • modify solutions ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ SATOR G is: • a projection layer • not a generator ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ generation_leak unauthorized_derivation content_mutation ============================================================ END SECTION 9 ============================================================ ============================================================ SECTION 10 — USER INTERACTION GATE ============================================================ PRINCIPLE ------------------------------------------------------------ User input must be grounded in canonical structure. ------------------------------------------------------------ PATTERN ------------------------------------------------------------ user_input → identify canonical structure → map to EvacuatedStructure → project output ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SATOR G must not: • infer structure arbitrarily • generate chambers without grounding • rely on thematic similarity alone ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ ungrounded_mapping arbitrary_structure_selection theme_only_projection ============================================================ END SECTION 10 ============================================================ ============================================================ SECTION 11 — VALIDITY CONDITIONS ============================================================ PRINCIPLE ------------------------------------------------------------ A SATOR G output is valid iff structure is preserved. ------------------------------------------------------------ VALIDITY FORMULA ------------------------------------------------------------ valid(SATOR_output) ⇔ canonical_layer_present ∧ structure_preserved ∧ mapping_derivable ∧ trace_recoverable ∧ no_generation ------------------------------------------------------------ FAILURE CONDITIONS ------------------------------------------------------------ canonical_loss non_derivable_output trace_loss generation_violation ------------------------------------------------------------ SEVERITY ------------------------------------------------------------ BLOCKING ============================================================ END SECTION 11 ============================================================ ============================================================ SECTION 12 — FUNCTION & CLOSURE ============================================================ FUNCTION ------------------------------------------------------------ SATOR G governs: • mediation of Evacuatio outputs • canonical preservation • contextual projection • trace summarization • user-facing interpretation ------------------------------------------------------------ SYSTEM ROLE ------------------------------------------------------------ SATOR G is: • mediation interface • projection layer • structure-preserving interpreter ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ SATOR G must always: preserve canonical structure while enabling contextual interpretation ------------------------------------------------------------ CLOSURE CONDITION ------------------------------------------------------------ A mediated output is valid iff: it preserves Evacuatio structure and allows full reconstruction ------------------------------------------------------------ ANY violation implies: invalid mediation ============================================================ END SECTION 12 ============================================================ ============================================================ END SATOR G — EVACUATIO MEDIATION LAYER (REWRITE) Version: 1.0.0-SATOR-G-MAGNUM-NORMALIZED Status: PROPOSED / VALIDATION TARGET ============================================================ END_VERBATIM_ARTIFACT: SATOR ============================================================ ============================================================ SUPPORT DEPENDENCY ARTIFACTS -- FULL VERBATIM REPRODUCTION ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: SUPPORT_TENET_D Source_File: 08_STACK_D/TENET_D_DoctrinalInvariants.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 13216 Source_SHA256: 733995f5734c0a4d6d3930d8e63677ae70fd0842eab38168e1bc2a3e709e60c1 ------------------------------------------------------------ ============================================================ TENET D — PRINCIPIA DUPLEX (ABSOLUTA + RELATIVA) Ars Generalis Applied — Unified Principial Regime (18 Dignities) Version: 0.1.1-TENET-D-PRINCIPIA-DUPLEX-PHOENICIAN Status: PROPOSED / STRUCTURAL FOUNDATION (EXTENDED) Scope: unified principial field combining TENET A and TENET T Authority: TENET Mutation Policy: VERSION-CONTROLLED ONLY Class: TENET Regime: D (COMPRESSED PRINCIPIAL REGIME — A+T) ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [I. PURPOSE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-i-purpose) - [II. STRUCTURAL COMPOSITION (FULL CARRIER TABLE)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-ii-structural-composition-full-carrier-table) - [ABSOLUTE DIGNITIES (A-LAYER)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-absolute-dignities-a-layer) - [RELATIVE DIGNITIES (T-LAYER)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-relative-dignities-t-layer) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule) - [CRITICAL CONSTRAINT](#local-section-08-stack-d-tenet-d-doctrinalinvariants-critical-constraint) - [FAILURE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-failure) - [III. ORDERING LAW (HIERARCHICAL CAUSALITY)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-iii-ordering-law-hierarchical-causality) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-2) - [IV. DUAL NUMERIC DISCIPLINE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-iv-dual-numeric-discipline) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-3) - [V. AUXILIARY SCRIPT LAW (PHOENICIAN)](#local-section-08-stack-d-tenet-d-doctrinalinvariants-v-auxiliary-script-law-phoenician) - [FUNCTION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-function) - [PROHIBITION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-prohibition) - [INTERPRETATION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-interpretation) - [LATIN:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-latin) - [PHOENICIAN:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-phoenician) - [VI. NON-COLLAPSE LAW](#local-section-08-stack-d-tenet-d-doctrinalinvariants-vi-non-collapse-law) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-4) - [VII. COMPRESSED REGIME STATUS](#local-section-08-stack-d-tenet-d-doctrinalinvariants-vii-compressed-regime-status) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-5) - [VIII. HISTORICAL CONSISTENCY](#local-section-08-stack-d-tenet-d-doctrinalinvariants-viii-historical-consistency) - [IX. FUNCTION](#local-section-08-stack-d-tenet-d-doctrinalinvariants-ix-function) - [RULE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-rule-6) - [X. CLOSURE](#local-section-08-stack-d-tenet-d-doctrinalinvariants-x-closure) - [FINAL STATE:](#local-section-08-stack-d-tenet-d-doctrinalinvariants-final-state) ============================================================ I. PURPOSE ============================================================ Define REGIMEN_D as the unified principial field composed of: • absolute dignities (TENET A) • relative dignities (TENET T) REGIMEN_D := TENET A + TENET T with preserved: • hierarchy • projection • carrier integrity ============================================================ END SECTION I ============================================================ ============================================================ II. STRUCTURAL COMPOSITION (FULL CARRIER TABLE) ============================================================ Each dignity includes: • ORDINAL • LATIN (canonical) • PHOENICIAN (structural) • CARDINAL VALUE ------------------------------------------------------------ ABSOLUTE DIGNITIES (A-LAYER) ------------------------------------------------------------ Ⅰ B — Bonitas — 𐤁 — 2 Ⅱ C — Magnitudo — 𐤂 — 3 Ⅲ D — Duratio — 𐤃 — 4 Ⅳ E — Potentia — 𐤄 — 5 Ⅴ F — Sapientia — 𐤅 — 6 Ⅵ G — Voluntas — 𐤆 — 7 Ⅶ H — Virtus — 𐤇 — 8 Ⅷ I — Veritas — 𐤈 — 9 Ⅸ K — Gloria — 𐤉 — 10 ------------------------------------------------------------ RELATIVE DIGNITIES (T-LAYER) ------------------------------------------------------------ Ⅹ L — Diferentia — 𐤊 — 20 = T(B) Ⅺ M — Concordantia — 𐤋 — 30 = T(C) Ⅻ N — Contrarietas — 𐤌 — 40 = T(D) ⅩⅢ O — Initium — 𐤍 — 50 = T(E) ⅩⅣ P — Medium — 𐤎 — 60 = T(F) ⅩⅤ Q — Finis — 𐤏 — 70 = T(G) ⅩⅥ R — Majoritas — 𐤐 — 80 = T(H) ⅩⅦ S — Aequalitas — 𐤑 — 90 = T(I) ⅩⅧ T — Minoritas — 𐤒 — 100 = T(K) ------------------------------------------------------------ RULE ------------------------------------------------------------ Each relative dignity is a projection: X_rel = T(X_abs) ------------------------------------------------------------ CRITICAL CONSTRAINT ------------------------------------------------------------ PHOENICIAN glyphs are: • explicitly embedded • fixed per ordinal slot • non-inferable ------------------------------------------------------------ FAILURE ------------------------------------------------------------ missing_glyph glyph_inference carrier_ambiguity ============================================================ END SECTION II ============================================================ ============================================================ III. ORDERING LAW (HIERARCHICAL CAUSALITY) ============================================================ Order is strictly: A → T Absolute dignities: define principial being Relative dignities: define relations between beings ------------------------------------------------------------ RULE ------------------------------------------------------------ No inversion allowed. ============================================================ END SECTION III ============================================================ ============================================================ IV. DUAL NUMERIC DISCIPLINE ============================================================ Each dignity preserves: • ORDINAL (Ⅰ–ⅩⅧ) • GEMATRIC (Phoenician) • CARDINAL (registry-derived) ------------------------------------------------------------ RULE ------------------------------------------------------------ No collapse between: ordinal gematric cardinal ============================================================ END SECTION IV ============================================================ ============================================================ V. AUXILIARY SCRIPT LAW (PHOENICIAN) ============================================================ Phoenician is: structural-only carrier layer ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ • disambiguation • numeric anchoring • ordinal stabilization ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ ✗ no user input in Phoenician ✗ no substitution of Latin carriers ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ LATIN: operational PHOENICIAN: structural ============================================================ END SECTION V ============================================================ ============================================================ VI. NON-COLLAPSE LAW ============================================================ A and T remain distinct within D. Example: B ≠ L but: L = T(B) ------------------------------------------------------------ RULE ------------------------------------------------------------ Projection ≠ identity ============================================================ END SECTION VI ============================================================ ============================================================ VII. COMPRESSED REGIME STATUS ============================================================ D is compressed but: NOT reduced ------------------------------------------------------------ RULE ------------------------------------------------------------ All 18 dignities must remain explicit or recoverable. ============================================================ END SECTION VII ============================================================ ============================================================ VIII. HISTORICAL CONSISTENCY ============================================================ Llull lists: A + T sequentially Letter omission in some texts: pedagogical not structural ============================================================ END SECTION VIII ============================================================ ============================================================ IX. FUNCTION ============================================================ REGIMEN_D enables: unified principial expressions Example: BCN where: N = T(D) ------------------------------------------------------------ RULE ------------------------------------------------------------ All compressed expressions must be reversible. ============================================================ END SECTION IX ============================================================ ============================================================ X. CLOSURE ============================================================ REGIMEN_D is valid iff: • 18 dignities present • projections preserved • carriers explicit • no collapse occurs ------------------------------------------------------------ FINAL STATE: READY FOR ROTAS D ============================================================ END TENET D — PRINCIPIA DUPLEX ============================================================ END_VERBATIM_ARTIFACT: SUPPORT_TENET_D ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: SUPPORT_TENET_I Source_File: 10_STACK_I/TENET_I_DoctrinalInvariants.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 26007 Source_SHA256: 64455905b49a91153cf73f6321f9f92693030f3573a64a1a6f338ce1008c98a4 ------------------------------------------------------------ ============================================================ TENET I — MIXTURA (CARRIER LAYER) Ars Generalis Applied — Unified Carrier System for Principia and Regimen_RQ Version: 0.1.0-TENET-I-MIXTURA Status: PROPOSED / CONTROL-PLANE DRAFT Scope: CARRIER ORDER / MIXTURE DISCIPLINE / NUMERIC STRUCTURE Authority: AGLA / TENET (LOCAL CONTROL PLANE — STACK I) Mutation Policy: VERSION-CONTROLLED ONLY Class: TENET ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [I. PURPOSE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-i-purpose) - [CORE ASSERTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-core-assertion) - [II. DOCTRINAL POSITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-ii-doctrinal-position) - [INTERPRETATION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation) - [DISTINCTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-distinction) - [III. CARRIER ORDER (ABJAD-BASED)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-iii-carrier-order-abjad-based) - [STRUCTURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-structure) - [PRIMARY SEQUENCE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-primary-sequence) - [ABSOLUTE PRINCIPLES (A)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-absolute-principles-a) - [RELATIVE PRINCIPLES (T)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-relative-principles-t) - [INTERROGATIVE / RULE REGIME ROOT (E)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interrogative-rule-regime-root-e) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule) - [IV. REGIMEN INDEXING (A / T / E)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-iv-regimen-indexing-a-t-e) - [A REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-a-regimen) - [T REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-t-regimen) - [E REGIMEN](#local-section-10-stack-i-tenet-i-doctrinalinvariants-e-regimen) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-2) - [V. E REGIMEN STRUCTURE (Q / R)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-v-e-regimen-structure-q-r) - [FORM](#local-section-10-stack-i-tenet-i-doctrinalinvariants-form) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-3) - [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint) - [VI. TOKEN IDENTITY LAW](#local-section-10-stack-i-tenet-i-doctrinalinvariants-vi-token-identity-law) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-4) - [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-2) - [VII. K-SPLIT LAW (EMBEDDED)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-vii-k-split-law-embedded) - [NUMERIC STRUCTURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-structure) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-5) - [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition) - [VIII. MIXTURE LAW](#local-section-10-stack-i-tenet-i-doctrinalinvariants-viii-mixture-law) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-6) - [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-2) - [INTERPRETATION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-interpretation-2) - [NOT:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-not) - [IX. NUMERIC DISCIPLINE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-ix-numeric-discipline) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-7) - [CONSTRAINT](#local-section-10-stack-i-tenet-i-doctrinalinvariants-constraint-3) - [X. DERIVED NUMERIC PROJECTION (APPENDIX — NON-ΣΑΤΟΡ)](#local-section-10-stack-i-tenet-i-doctrinalinvariants-x-derived-numeric-projection-appendix-non) - [FUNCTION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-function) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-8) - [PROHIBITION](#local-section-10-stack-i-tenet-i-doctrinalinvariants-prohibition-3) - [XI. RELATION TO OTHER LAYERS](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xi-relation-to-other-layers) - [TENET A:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-a) - [TENET T:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-t) - [TENET E:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-e) - [TENET I:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-tenet-i) - [ROTAS:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rotas) - [AREPO:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-arepo) - [OPERA:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-opera) - [SATOR:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-sator) - [XII. FAILURE CONDITIONS](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xii-failure-conditions) - [CARRIER FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-carrier-failures) - [REGIME FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-regime-failures) - [TOKEN FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-token-failures) - [NUMERIC FAILURES](#local-section-10-stack-i-tenet-i-doctrinalinvariants-numeric-failures) - [RULE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-rule-9) - [XIII. CLOSURE](#local-section-10-stack-i-tenet-i-doctrinalinvariants-xiii-closure) - [FINAL STATE:](#local-section-10-stack-i-tenet-i-doctrinalinvariants-final-state) END SECTION 0 — HEADER ============================================================ ============================================================ I. PURPOSE ============================================================ Define the carrier system governing: STACK I — MIXTURA ------------------------------------------------------------ TENET_I establishes: • unified carrier order for A, T, and E regimens • explicit ordinal-slot mapping • gematric and cardinal correspondence • Phoenician carrier stabilization • mixture-safe indexing discipline • token-based identity for combinatorics ------------------------------------------------------------ TENET_I does NOT: • define execution (OPERA) • define admissibility (AREPO) • define topology (ROTAS) • define mediation (SATOR) ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ Identity in MIXTURA is determined by: FULL TOKEN PRESENCE ------------------------------------------------------------ NOT by: • single symbol • numeric value alone • partial encoding ============================================================ END SECTION I ============================================================ ============================================================ II. DOCTRINAL POSITION ============================================================ MIXTURA is: the carrier-level integration layer for: • principia absoluta (A) • principia relativa (T) • interrogative and rule system (E) ------------------------------------------------------------ Function: provide a unified indexing system such that: all three regimens may coexist without ambiguity or collision ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ TENET_I operates at: carrier level ------------------------------------------------------------ It does NOT: redefine doctrinal content ------------------------------------------------------------ DISTINCTION ------------------------------------------------------------ TENET A → defines absolute principles TENET T → defines relative principles TENET E → defines interrogative doctrine TENET I → defines how they coexist structurally ============================================================ END SECTION II ============================================================ ============================================================ III. CARRIER ORDER (ABJAD-BASED) ============================================================ MIXTURA adopts: ABJAD ORDER (PHOENICIAN-ALIGNED) ------------------------------------------------------------ STRUCTURE ------------------------------------------------------------ Each carrier defines: • ORDINAL_SLOT • SYMBOL (Latin) • PHOENICIAN CHARACTER • GEMATRIC VALUE • CARDINAL VALUE ------------------------------------------------------------ PRIMARY SEQUENCE ------------------------------------------------------------ PRE/A ORDINAL_SLOT = PRE SYMBOL = A PHOENICIAN = 𐤀 GEMATRIC = 1 CARDINAL = 1 ------------------------------------------------------------ ABSOLUTE PRINCIPLES (A) ------------------------------------------------------------ Ⅰ B 𐤁 2 2 Ⅱ C 𐤂 3 3 Ⅲ D 𐤃 4 4 Ⅳ E 𐤄 5 5 Ⅴ F 𐤅 6 6 Ⅵ G 𐤆 7 7 Ⅶ H 𐤇 8 8 Ⅷ I 𐤈 9 9 Ⅸ K 𐤉 10 10 ------------------------------------------------------------ RELATIVE PRINCIPLES (T) ------------------------------------------------------------ Ⅹ L 𐤊 20 11 Ⅺ M 𐤋 30 12 Ⅻ N 𐤌 40 13 ⅩⅢ O 𐤍 50 14 ⅩⅣ P 𐤎 60 15 ⅩⅤ Q 𐤏 70 16 ⅩⅥ R 𐤐 80 17 ⅩⅦ S 𐤑 90 18 ⅩⅧ T 𐤒 100 19 ------------------------------------------------------------ INTERROGATIVE / RULE REGIME ROOT (E) ------------------------------------------------------------ Uses extended range: 200 → 1000 ------------------------------------------------------------ RULE ------------------------------------------------------------ No carrier may change: • ordinal position • gematric value • Phoenician mapping ============================================================ END SECTION III ============================================================ ============================================================ IV. REGIMEN INDEXING (A / T / E) ============================================================ ------------------------------------------------------------ A REGIMEN ------------------------------------------------------------ Uses: slots Ⅰ–Ⅸ ------------------------------------------------------------ T REGIMEN ------------------------------------------------------------ Uses: slots Ⅹ–ⅩⅧ ------------------------------------------------------------ E REGIMEN ------------------------------------------------------------ Uses: extended numeric carriers ------------------------------------------------------------ RULE ------------------------------------------------------------ Regimen identity is determined by: carrier range ------------------------------------------------------------ NOT by: symbol reuse alone ============================================================ END SECTION IV ============================================================ ============================================================ V. E REGIMEN STRUCTURE (Q / R) ============================================================ E is a ROOT CARRIER DOMAIN ------------------------------------------------------------ E splits into: Q → interrogatives R → rules ------------------------------------------------------------ FORM ------------------------------------------------------------ E ├── Q └── R ------------------------------------------------------------ RULE ------------------------------------------------------------ Q and R are: sub-regimens within: E ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ TENET E defines: doctrinal structure TENET I defines: carrier indexing ============================================================ END SECTION V ============================================================ ============================================================ VI. TOKEN IDENTITY LAW ============================================================ Identity is defined as: FULL TOKEN CHAIN ------------------------------------------------------------ Example: ERB ≠ EQB ------------------------------------------------------------ RULE ------------------------------------------------------------ No identity may be inferred from: • partial token • numeric subset • symbolic coincidence ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ All tokens must be: • explicit • ordered • complete ============================================================ END SECTION VI ============================================================ ============================================================ VII. K-SPLIT LAW (EMBEDDED) ============================================================ K is: a unified interrogative carrier ------------------------------------------------------------ K contains: • modality (K1) • instrumentality (K2) ------------------------------------------------------------ NUMERIC STRUCTURE ------------------------------------------------------------ 1000 → K (general) 1200 → K1 (modality) 1300 → K2 (instrumentality) ------------------------------------------------------------ RULE ------------------------------------------------------------ K must be used in: • combinatorics • TABULA • multiplication • evacuation ------------------------------------------------------------ K1 / K2 may be used in: • analytical decomposition • explanatory expansion ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ K must not be replaced by K1 or K2 in combinatorial operations ============================================================ END SECTION VII ============================================================ ============================================================ VIII. MIXTURE LAW ============================================================ MIXTURA allows: coexistence of A, T, and E carriers ------------------------------------------------------------ RULE ------------------------------------------------------------ All mixture operations must preserve: • carrier identity • ordinal integrity • regime distinction ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ No collapse between: • A and T • T and E • Q and R ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ Mixture is: structural coexistence NOT: doctrinal fusion ============================================================ END SECTION VIII ============================================================ ============================================================ IX. NUMERIC DISCIPLINE ============================================================ Three numeric layers exist: ------------------------------------------------------------ 1. ORDINAL position in sequence ------------------------------------------------------------ 2. GEMATRIC native abjad value ------------------------------------------------------------ 3. CARDINAL normalized sequence ------------------------------------------------------------ RULE ------------------------------------------------------------ These layers must NOT be: • collapsed • substituted • inferred ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Numeric value does NOT define identity ============================================================ END SECTION IX ============================================================ ============================================================ X. DERIVED NUMERIC PROJECTION (APPENDIX — NON-ΣΑΤΟΡ) ============================================================ Derived projection may be defined as: f := gematric + cardinal g := f × ordinal ------------------------------------------------------------ FUNCTION ------------------------------------------------------------ Supports: • external preprocessing • combinatorial indexing • mapping to external systems ------------------------------------------------------------ RULE ------------------------------------------------------------ This projection: • is OPTIONAL • is NON-CANONICAL • must be IGNORED in ΣΑΤΟΡ I ------------------------------------------------------------ PROHIBITION ------------------------------------------------------------ Derived values must NOT: • replace canonical carriers • influence identity • affect mixture logic ============================================================ END SECTION X ============================================================ ============================================================ XI. RELATION TO OTHER LAYERS ============================================================ TENET A: defines absolute principles TENET T: defines relative principles TENET E: defines interrogative doctrine ------------------------------------------------------------ TENET I: defines unified carrier system ------------------------------------------------------------ ROTAS: structures carriers spatially AREPO: gates admissibility OPERA: executes combinations SATOR: exposes structure ============================================================ END SECTION XI ============================================================ ============================================================ XII. FAILURE CONDITIONS ============================================================ CARRIER FAILURES ------------------------------------------------------------ • ordinal drift • symbol collision • Phoenician mismatch ------------------------------------------------------------ REGIME FAILURES ------------------------------------------------------------ • A/T collapse • E ambiguity • Q/R confusion ------------------------------------------------------------ TOKEN FAILURES ------------------------------------------------------------ • partial identity • missing token • implicit inference ------------------------------------------------------------ NUMERIC FAILURES ------------------------------------------------------------ • gematric/cardinal collapse • derived substitution ------------------------------------------------------------ RULE ------------------------------------------------------------ Any failure: → invalidates mixture ============================================================ END SECTION XII ============================================================ ============================================================ XIII. CLOSURE ============================================================ TENET I establishes: • unified carrier order • regime coexistence • token-based identity • numeric discipline ------------------------------------------------------------ With this artifact: ✓ A, T, E may coexist without ambiguity ✓ combinatorics becomes stable ✓ carrier identity becomes explicit ✓ expansion and compression coexist lawfully ------------------------------------------------------------ FINAL STATE: READY FOR INTEGRATION ============================================================ END TENET I — MIXTURA ============================================================ END_VERBATIM_ARTIFACT: SUPPORT_TENET_I ============================================================ ============================================================ END SIGMA_SATOR KERNEL BUNDLE: SIGMA_SATOR_G ============================================================