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