============================================================ 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 ============================================================