============================================================ SIGMA_SATOR KERNEL BUNDLE AGLA / DEPLOYMENT LAYER Version: 1.0.0-SIGMA-SATOR-GENERATED-2026-04-30 Status: VALID_SIGMA_SATOR_KERNEL Date: 2026-04-30 Authority: AGLA / CONTROL PLANE / HUMAN DEVELOPER DIRECTIVE Class: AGLA / MACROCLASS (SIGMA_SATOR) Kernel_ID: SIGMA_SATOR_E Regime: E Stack_Folder: 04_STACK_E Selected_OPERA: IDX-E-OPERA-ENGINE Source_Class_Law: 00_ROOT_CLASS_LAWS/AGLA_SIGMA_SATOR_CLASS_LAW.md Mutation Policy: GENERATED FILE ONLY; SOURCE STACK ARTIFACTS NOT MUTATED ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [KERNEL_LIFECYCLE:](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-kernel-lifecycle) - [CLASS_MAPPING:](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-class-mapping) - [VALIDATION:](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-validation) - [NON_COMPRESSION_ASSERTION:](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-non-compression-assertion) - [SOURCE_ARTIFACT_MANIFEST:](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-source-artifact-manifest) - [EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION](#local-section-99-sigma-sator-output-sigma-sator-e-sigma-sator-e-kernel-embedded-class-artifacts-full-verbatim-reproduction) KERNEL_LIFECYCLE: LOAD -> RESOLVE -> BIND -> ADMIT -> EXECUTE -> RETURN CLASS_MAPPING: LOAD / RESOLVE / BIND: TENET + ROTAS ADMIT: AREPO EXECUTE: OPERA RETURN: SATOR VALIDATION: all_five_classes_present: TRUE all_five_classes_non_empty: TRUE full_verbatim_embedding_attempted: TRUE kernel_valid: TRUE NON_COMPRESSION_ASSERTION: EMBEDDED ARTIFACT CONTENT BELOW IS INSERTED VERBATIM FROM SOURCE FILES. NO SOURCE STACK ARTIFACT WAS REWRITTEN BY THIS ASSEMBLY. IF A REQUIRED CLASS IS MISSING OR EMPTY, THIS KERNEL IS INVALID UNTIL PATCHED BY HUMAN DEVELOPER AUTHORITY. SOURCE_ARTIFACT_MANIFEST: - class: TENET file: 04_STACK_E/TENET_E_DoctrinalInvariants.md exists: TRUE non_empty: TRUE bytes: 15003 sha256: fa0b68c65fad8760275659a3e90e242d4760e6505f720897127c43452c70176a - class: ROTAS file: 04_STACK_E/ROTAS_E_StructuralInstantiation.md exists: TRUE non_empty: TRUE bytes: 12859 sha256: 7b9f0e6bbcb35c33c295c37796459a4866a5201d85de92a02f7a46a303c47100 - class: AREPO file: 04_STACK_E/AREPO_E_InputAdmissibility.md exists: TRUE non_empty: TRUE bytes: 14118 sha256: cb480d033f2316a4b58530aa494cdfa1836f493a8333af407b6e48cbc504acc9 - class: OPERA file: 04_STACK_E/OPERA_E_ExecutionMechanism.md exists: TRUE non_empty: TRUE bytes: 23208 sha256: 165f1d353670cb6acbae8b564de0c9e98a51c0241853d4b75f4026283bb406e8 - class: SATOR file: 04_STACK_E/SATOR_E_OutputRequirements.md exists: TRUE non_empty: TRUE bytes: 14049 sha256: c6a8ca39d657488b382f41a04ed924123820d7223f8f4d5dc053003e9689f898 ============================================================ EMBEDDED CLASS ARTIFACTS -- FULL VERBATIM REPRODUCTION ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: TENET Source_File: 04_STACK_E/TENET_E_DoctrinalInvariants.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 15003 Source_SHA256: fa0b68c65fad8760275659a3e90e242d4760e6505f720897127c43452c70176a ------------------------------------------------------------ ============================================================ TENET E — REGIMEN_RQ (DOCTRINAL LAYER) Ars Generalis Applied — Interrogative Law Version: 1.0.2-TENET-E-PATCHED Status: LOCK-CANDIDATE Scope: DOCTRINE / DEFINITIONS / PRINCIPIAL ORDER Authority: AGLA / TENET Class: TENET Mutation Policy: VERSION-CONTROLLED ONLY Aliases: TENET Q TENET RQ Equivalence: TENET E = TENET Q = TENET RQ ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [I. PURPOSE](#local-section-04-stack-e-tenet-e-doctrinalinvariants-i-purpose) - [II. DOCTRINAL POSITION](#local-section-04-stack-e-tenet-e-doctrinalinvariants-ii-doctrinal-position) - [III. CORE PRINCIPLE (REFINED)](#local-section-04-stack-e-tenet-e-doctrinalinvariants-iii-core-principle-refined) - [IV. INTERROGATIVE CARRIER SYSTEM](#local-section-04-stack-e-tenet-e-doctrinalinvariants-iv-interrogative-carrier-system) - [V. RULE NATURE](#local-section-04-stack-e-tenet-e-doctrinalinvariants-v-rule-nature) - [VI. REDUCTION PRINCIPLE](#local-section-04-stack-e-tenet-e-doctrinalinvariants-vi-reduction-principle) - [VII. MULTI-CARRIER COMPOSITION](#local-section-04-stack-e-tenet-e-doctrinalinvariants-vii-multi-carrier-composition) - [VIII. SPECIES GENERATION](#local-section-04-stack-e-tenet-e-doctrinalinvariants-viii-species-generation) - [IX. INTERROGATIVE SCOPE](#local-section-04-stack-e-tenet-e-doctrinalinvariants-ix-interrogative-scope) - [X. DOCTRINAL CONSTRAINTS](#local-section-04-stack-e-tenet-e-doctrinalinvariants-x-doctrinal-constraints) - [1. UNIVERSALITY (REFINED)](#local-section-04-stack-e-tenet-e-doctrinalinvariants-1-universality-refined) - [2. FINITENESS](#local-section-04-stack-e-tenet-e-doctrinalinvariants-2-finiteness) - [3. NON-REDUCTION OF CARRIERS](#local-section-04-stack-e-tenet-e-doctrinalinvariants-3-non-reduction-of-carriers) - [4. DOMAIN STABILITY](#local-section-04-stack-e-tenet-e-doctrinalinvariants-4-domain-stability) - [5. NON-EXECUTION](#local-section-04-stack-e-tenet-e-doctrinalinvariants-5-non-execution) - [XI. RELATION TO OTHER LAYERS](#local-section-04-stack-e-tenet-e-doctrinalinvariants-xi-relation-to-other-layers) - [TENET R](#local-section-04-stack-e-tenet-e-doctrinalinvariants-tenet-r) - [ROTAS_E](#local-section-04-stack-e-tenet-e-doctrinalinvariants-rotas-e) - [AREPO_E](#local-section-04-stack-e-tenet-e-doctrinalinvariants-arepo-e) - [OPERA_E](#local-section-04-stack-e-tenet-e-doctrinalinvariants-opera-e) - [SATOR_E](#local-section-04-stack-e-tenet-e-doctrinalinvariants-sator-e) - [XII. LIMITS](#local-section-04-stack-e-tenet-e-doctrinalinvariants-xii-limits) - [TENET_E ONLY:](#local-section-04-stack-e-tenet-e-doctrinalinvariants-tenet-e-only) - [XIII. CLOSURE](#local-section-04-stack-e-tenet-e-doctrinalinvariants-xiii-closure) - [STATUS:](#local-section-04-stack-e-tenet-e-doctrinalinvariants-status) I. PURPOSE ------------------------------------------------------------ Define the doctrinal foundation governing: STACK E — REGIMEN_RQ ------------------------------------------------------------ TENET_E establishes: • interrogative carriers (Ⅰ–Ⅹ) • rule definitions (Regulae) • reduction principle • interrogative scope ------------------------------------------------------------ TENET_E does NOT: • define structure (ROTAS) • define admissibility (AREPO) • define execution (OPERA) • define mediation (SATOR) ============================================================ II. DOCTRINAL POSITION ============================================================ REGIMEN_RQ is: the interrogative regime of the Ars ------------------------------------------------------------ Function: reduce intelligible questions to a finite, ordered set of universal interrogative forms ============================================================ III. CORE PRINCIPLE (REFINED) ============================================================ All intelligible questions, once definition-bound and structurally grounded, are reducible to: ten universal interrogative carriers ------------------------------------------------------------ Formal: ∀Q: intelligible(Q) ∧ definition_bound(Q) ⇒ reducible_to(Q, {Ⅰ–Ⅹ}) ------------------------------------------------------------ Clarification: Reduction applies to: • interrogatively well-formed questions • definition-bound domains • structurally admissible inputs ------------------------------------------------------------ Non-claim: TENET_E does not assert that: all raw expressions are immediately reducible Reduction requires: prior binding (AREPO / CAPUT) ============================================================ IV. INTERROGATIVE CARRIER SYSTEM ============================================================ The canonical carriers are: ------------------------------------------------------------ [Ⅰ] B — Whether (Utrum) domain: existence / possibility ------------------------------------------------------------ [Ⅱ] C — What (Quid) domain: essence / definition ------------------------------------------------------------ [Ⅲ] D — Of what (De quo) domain: composition / material reference ------------------------------------------------------------ [Ⅳ] E — Why (Quare) domain: cause / reason ------------------------------------------------------------ [Ⅴ] F — How much (Quantum) domain: quantity / magnitude ------------------------------------------------------------ [Ⅵ] G — What quality (Quale) domain: quality / nature ------------------------------------------------------------ [Ⅶ] H — When (Quando) domain: temporality ------------------------------------------------------------ [Ⅷ] I — Where (Ubi) domain: spatiality ------------------------------------------------------------ [Ⅸ] K1 — How (Quomodo) domain: mode / process ------------------------------------------------------------ [Ⅹ] K2 — With what (Quibus auxiliis) domain: instrument / means ============================================================ V. RULE NATURE ============================================================ Each carrier is: • a universal rule (Regula) • a domain of interrogation • a generator of species (TENET R) ------------------------------------------------------------ Each rule: does not produce answers defines interrogative form and domain of articulation ============================================================ VI. REDUCTION PRINCIPLE ============================================================ Reduction is defined as: mapping a particular question into one or more universal carriers ------------------------------------------------------------ Formal: Q → {n₁, n₂, ..., nₖ} ------------------------------------------------------------ Constraint: reduction must preserve: • interrogative intent • domain alignment ============================================================ VII. MULTI-CARRIER COMPOSITION ============================================================ A question may require: multiple carriers simultaneously ------------------------------------------------------------ Example structure: Q → {C, E, K1} ------------------------------------------------------------ Constraint: carriers remain: • distinct • non-collapsed ============================================================ VIII. SPECIES GENERATION ============================================================ Each carrier generates: a set of species (TENET R) ------------------------------------------------------------ Definition: species = differentiated interrogative forms within a carrier domain ------------------------------------------------------------ Example: B → {affirmation, negation, doubt} ------------------------------------------------------------ Constraint: species are: • dependent on carriers • non-autonomous ============================================================ IX. INTERROGATIVE SCOPE ============================================================ TENET_E applies to: all intelligible and definition-bound domains of inquiry ------------------------------------------------------------ Includes: • metaphysical • physical • logical • practical ------------------------------------------------------------ Excludes: non-intelligible or unbound inputs ============================================================ X. DOCTRINAL CONSTRAINTS ============================================================ ------------------------------------------------------------ 1. UNIVERSALITY (REFINED) ------------------------------------------------------------ No intelligible and definition-bound question falls outside the system ------------------------------------------------------------ 2. FINITENESS ------------------------------------------------------------ Carrier set is fixed: exactly 10 ------------------------------------------------------------ 3. NON-REDUCTION OF CARRIERS ------------------------------------------------------------ Carriers cannot be: • merged • eliminated • substituted ------------------------------------------------------------ 4. DOMAIN STABILITY ------------------------------------------------------------ Each carrier retains: its interrogative domain ------------------------------------------------------------ 5. NON-EXECUTION ------------------------------------------------------------ TENET_E does not: • perform reduction • select carriers • evaluate results ============================================================ XI. RELATION TO OTHER LAYERS ============================================================ ------------------------------------------------------------ TENET R ------------------------------------------------------------ expands carriers into species ------------------------------------------------------------ ROTAS_E ------------------------------------------------------------ structures carriers spatially ------------------------------------------------------------ AREPO_E ------------------------------------------------------------ gates admissibility of reduction ------------------------------------------------------------ OPERA_E ------------------------------------------------------------ executes reduction and traversal ------------------------------------------------------------ SATOR_E ------------------------------------------------------------ exposes resulting configuration ============================================================ XII. LIMITS ============================================================ TENET_E does NOT: • define truth • define structure • define admissibility • define execution • define mediation ------------------------------------------------------------ TENET_E ONLY: defines interrogative law ============================================================ XIII. CLOSURE ============================================================ TENET_E establishes: the principial interrogative framework of REGIMEN_RQ ------------------------------------------------------------ With this artifact: ✓ intelligible questions become reducible ✓ interrogative domains become fixed ✓ rule system becomes finite and complete ------------------------------------------------------------ STATUS: FUNCTIONALLY COMPLETE LOCK-CANDIDATE ============================================================ END OF ARTIFACT ============================================================ END_VERBATIM_ARTIFACT: TENET ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: ROTAS Source_File: 04_STACK_E/ROTAS_E_StructuralInstantiation.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 12859 Source_SHA256: 7b9f0e6bbcb35c33c295c37796459a4866a5201d85de92a02f7a46a303c47100 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Shorthands: ROTA Q; ROTA R;](#local-section-04-stack-e-rotas-e-structuralinstantiation-shorthands-rota-q-rota-r) - [I. PURPOSE](#local-section-04-stack-e-rotas-e-structuralinstantiation-i-purpose) - [II. GEOMETRIC FORM](#local-section-04-stack-e-rotas-e-structuralinstantiation-ii-geometric-form) - [III. CORE RING (R0)](#local-section-04-stack-e-rotas-e-structuralinstantiation-iii-core-ring-r0) - [IV. SPECIES RING (R1)](#local-section-04-stack-e-rotas-e-structuralinstantiation-iv-species-ring-r1) - [V. COMBINATORY RING (R2)](#local-section-04-stack-e-rotas-e-structuralinstantiation-v-combinatory-ring-r2) - [BUT:](#local-section-04-stack-e-rotas-e-structuralinstantiation-but) - [VI. TRAVERSAL FIELD (R3)](#local-section-04-stack-e-rotas-e-structuralinstantiation-vi-traversal-field-r3) - [VII. ADJACENCY RULES](#local-section-04-stack-e-rotas-e-structuralinstantiation-vii-adjacency-rules) - [VIII. COMPATIBILITY CONSTRAINTS](#local-section-04-stack-e-rotas-e-structuralinstantiation-viii-compatibility-constraints) - [IX. STRUCTURAL INVARIANTS](#local-section-04-stack-e-rotas-e-structuralinstantiation-ix-structural-invariants) - [X. OUTPUT FUNCTION](#local-section-04-stack-e-rotas-e-structuralinstantiation-x-output-function) - [XI. LIMITS](#local-section-04-stack-e-rotas-e-structuralinstantiation-xi-limits) - [ROTAS_E ONLY:](#local-section-04-stack-e-rotas-e-structuralinstantiation-rotas-e-only) - [XII. CLOSURE](#local-section-04-stack-e-rotas-e-structuralinstantiation-xii-closure) - [STATUS:](#local-section-04-stack-e-rotas-e-structuralinstantiation-status) --- ============================================================ ROTA E — REGIMEN_RQ (CANONICAL STRUCTURE) Ars Generalis Applied — Interrogative Traversal Geometry Version: 1.0.1-ROTA-E-PATCHED Status: LOCK-CANDIDATE Scope: STRUCTURAL / EXECUTION SUPPORT Authority: AGLA / ROTAS Class: ROTAS Mutation Policy: VERSION-CONTROLLED ONLY Shorthands: ROTA Q; ROTA R; ============================================================ I. PURPOSE ------------------------------------------------------------ Define the canonical structural system (ROTAS_E) that enables: • ordered traversal of interrogative carriers (Ⅰ–Ⅹ) • embedding of species domains (TENET R) • lawful execution support for OPERA Q ------------------------------------------------------------ This artifact provides: • geometric carrier structure • traversal rules • adjacency logic • combinatory affordances ------------------------------------------------------------ ROTAS_E is: • prerequisite for OPERA Q execution • non-executive • non-admissive • structure-only ============================================================ II. GEOMETRIC FORM ============================================================ ROTAS_E is defined as: CYCLIC MULTI-RING COMBINATORY STRUCTURE ------------------------------------------------------------ Structure Layers: R0 — Core Ring (Ordinal Carriers) R1 — Species Ring (Rule Expansion) R2 — Combinatory Ring (Inter-rule Pairs) R3 — Traversal Field (Execution Path Space) ------------------------------------------------------------ All rings are: • cyclic • directionally traversable • ordinally anchored ============================================================ III. CORE RING (R0) ============================================================ R0 defines the primary interrogative carriers: [Ⅰ] B — Whether [Ⅱ] C — What [Ⅲ] D — Of what [Ⅳ] E — Why [Ⅴ] F — How much [Ⅵ] G — What quality [Ⅶ] H — When [Ⅷ] I — Where [Ⅸ] K1 — How [Ⅹ] K2 — With what ------------------------------------------------------------ Properties: • strict ordinal positioning • cyclic closure: Ⅹ → Ⅰ • non-skippable under full traversal ============================================================ IV. SPECIES RING (R1) ============================================================ Each node in R0 expands into a species domain: R1(n) = { s₁, s₂, ..., sₖ } ------------------------------------------------------------ Example: B → { doubt, affirmation, negation } ------------------------------------------------------------ Properties: • non-uniform cardinality • rule-dependent structure • must map to TENET R ------------------------------------------------------------ Constraint: species cannot exist without carrier anchor ------------------------------------------------------------ Note: BREVIS species (TENET E) and ULTIMA species (TENET R) are both embeddable within R1 without structural change. ============================================================ V. COMBINATORY RING (R2) ============================================================ R2 defines pairwise carrier combinations: (nᵢ, nⱼ), where i ≠ j ------------------------------------------------------------ Total combinations: C(10,2) = 45 pairs ------------------------------------------------------------ Each pair defines a combinatory camera: e.g.: BC BD CE IK ------------------------------------------------------------ Properties: • structurally symmetric pairing • no self-combination • order-preserving (ordinal identity retained) ------------------------------------------------------------ Clarification: R2 combinations are: • structurally symmetric BUT: execution traversal (OPERA Q) is directional ------------------------------------------------------------ Function: enables: • cross-rule positioning • compound interrogation space • multi-axis traversal potential ============================================================ VI. TRAVERSAL FIELD (R3) ============================================================ R3 defines valid movement across structure. ------------------------------------------------------------ Traversal Types: 1. Sequential Traversal nᵢ → nᵢ₊₁ 2. Cyclic Traversal n₁₀ → n₁ 3. Radial Traversal R0 → R1 4. Combinatory Traversal R0 → R2 → R1 5. Recursive Traversal species → carrier → species ------------------------------------------------------------ Constraints: • traversal must preserve carrier identity • traversal must maintain definition binding • traversal cannot skip binding stage ------------------------------------------------------------ Invalid Traversals: ✗ random jumps without carrier binding ✗ species-to-species without anchor ✗ combinatory collapse into single rule ============================================================ VII. ADJACENCY RULES ============================================================ Adjacency is defined at three levels: ------------------------------------------------------------ 1. Ordinal Adjacency nᵢ adjacent to nᵢ₊₁ ------------------------------------------------------------ 2. Logical Adjacency based on interrogative dependency structure ------------------------------------------------------------ 3. Combinatory Adjacency via R2: nᵢ adjacent to all nⱼ where j ≠ i ------------------------------------------------------------ Rule: Adjacency types are co-present. Traversal selection is external to ROTAS and determined by OPERA / AREPO. ============================================================ VIII. COMPATIBILITY CONSTRAINTS ============================================================ ROTAS_E must remain compatible with: ------------------------------------------------------------ 1. TENET CYCLIC INDEXING LAW • closure required • no terminal node ------------------------------------------------------------ 2. FIGURE III LOGIC (PAIR CAMERAS) • all pair combinations must be representable ------------------------------------------------------------ 3. OPERA Q • ROTAS defines space • OPERA executes traversal within space ------------------------------------------------------------ 4. NON-CONTRADICTION incompatible species must not co-occupy same traversal path ============================================================ IX. STRUCTURAL INVARIANTS ============================================================ The following must always hold: ------------------------------------------------------------ 1. Carrier Primacy carriers precede species ------------------------------------------------------------ 2. Ordinal Stability positions cannot shift ------------------------------------------------------------ 3. Cyclic Closure structure must loop ------------------------------------------------------------ 4. Combinatory Completeness all valid pairs must exist ------------------------------------------------------------ 5. Traversal Legibility every path must be reconstructible ============================================================ X. OUTPUT FUNCTION ============================================================ ROTAS_E produces: traversal-ready structural space for OPERA Q ------------------------------------------------------------ It does NOT produce: • conclusions • admissibility decisions • semantic validation ============================================================ XI. LIMITS ============================================================ ROTAS_E does NOT: • define truth • define ontology • execute reasoning • authorize execution ------------------------------------------------------------ ROTAS_E ONLY: structures interrogative possibility space ============================================================ XII. CLOSURE ============================================================ ROTAS_E establishes: the geometric and combinatory substrate required for interrogative reduction ------------------------------------------------------------ With this artifact: ✓ combinatorics becomes structurally grounded ✓ OPERA Q becomes spatially defined ------------------------------------------------------------ Remaining dependency: AREPO E (admissibility layer) ------------------------------------------------------------ STATUS: STRUCTURALLY COMPLETE LOCK-CANDIDATE ============================================================ END OF ARTIFACT ============================================================ END_VERBATIM_ARTIFACT: ROTAS ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: AREPO Source_File: 04_STACK_E/AREPO_E_InputAdmissibility.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 14118 Source_SHA256: cb480d033f2316a4b58530aa494cdfa1836f493a8333af407b6e48cbc504acc9 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Mutation Policy: VERSION-CONTROLLED ONLY](#local-section-04-stack-e-arepo-e-inputadmissibility-mutation-policy-version-controlled-only) - [I. PURPOSE](#local-section-04-stack-e-arepo-e-inputadmissibility-i-purpose) - [II. POSITION IN CLASS ORDER](#local-section-04-stack-e-arepo-e-inputadmissibility-ii-position-in-class-order) - [III. ADMISSIBILITY OBJECTS](#local-section-04-stack-e-arepo-e-inputadmissibility-iii-admissibility-objects) - [IV. CORE ADMISSIBILITY PRINCIPLE](#local-section-04-stack-e-arepo-e-inputadmissibility-iv-core-admissibility-principle) - [V. ADMISSIBILITY CONDITIONS](#local-section-04-stack-e-arepo-e-inputadmissibility-v-admissibility-conditions) - [1. REDUCTIBILITY CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-1-reductibility-condition) - [2. DEFINITION BINDING CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-2-definition-binding-condition) - [3. NON-CONTRADICTION CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-3-non-contradiction-condition) - [4. STRUCTURAL GROUNDING CONDITION](#local-section-04-stack-e-arepo-e-inputadmissibility-4-structural-grounding-condition) - [VI. CARRIER ADMISSIBILITY (R0)](#local-section-04-stack-e-arepo-e-inputadmissibility-vi-carrier-admissibility-r0) - [VII. SPECIES ADMISSIBILITY (R1)](#local-section-04-stack-e-arepo-e-inputadmissibility-vii-species-admissibility-r1) - [VIII. COMBINATORY ADMISSIBILITY (R2)](#local-section-04-stack-e-arepo-e-inputadmissibility-viii-combinatory-admissibility-r2) - [IX. TRAVERSAL ADMISSIBILITY (R3)](#local-section-04-stack-e-arepo-e-inputadmissibility-ix-traversal-admissibility-r3) - [X. FAILURE MODES](#local-section-04-stack-e-arepo-e-inputadmissibility-x-failure-modes) - [XI. ADMISSIBILITY OUTPUT](#local-section-04-stack-e-arepo-e-inputadmissibility-xi-admissibility-output) - [XII. RELATION TO OPERA Q](#local-section-04-stack-e-arepo-e-inputadmissibility-xii-relation-to-opera-q) - [XIII. LIMITS](#local-section-04-stack-e-arepo-e-inputadmissibility-xiii-limits) - [AREPO_E ONLY:](#local-section-04-stack-e-arepo-e-inputadmissibility-arepo-e-only) - [XIV. CLOSURE](#local-section-04-stack-e-arepo-e-inputadmissibility-xiv-closure) - [STATUS:](#local-section-04-stack-e-arepo-e-inputadmissibility-status) --- ============================================================ AREPO E — REGIMEN_RQ (ADMISSIBILITY LAYER) Ars Generalis Applied — Interrogative Execution Authorization Version: 1.0.1-AREPO-E-PATCHED Status: LOCK-CANDIDATE Scope: ADMISSIBILITY / EXECUTION GATE Authority: AGLA / AREPO Class: AREPO Mutation Policy: VERSION-CONTROLLED ONLY ============================================================ I. PURPOSE ------------------------------------------------------------ Define the admissibility conditions governing execution within: STACK E — REGIMEN_RQ ------------------------------------------------------------ AREPO_E determines: • when a question (Q) is admissible • when a carrier (R0) may be activated • when species (R1) may be invoked • when combinatory space (R2) may be accessed • when traversal (R3) is authorized ------------------------------------------------------------ AREPO_E does NOT: • define doctrine (TENET) • define structure (ROTAS) • execute (OPERA) • mediate (SATOR) ============================================================ II. POSITION IN CLASS ORDER ============================================================ TENET → ROTAS → AREPO → OPERA → SATOR ------------------------------------------------------------ AREPO_E operates: AFTER structural binding BEFORE execution ============================================================ III. ADMISSIBILITY OBJECTS ============================================================ AREPO_E evaluates admissibility for: ------------------------------------------------------------ 1. Question Input (Q) raw interrogative expression ------------------------------------------------------------ 2. Carrier Activation (R0) mapping Q → {B–K2} ------------------------------------------------------------ 3. Species Invocation (R1) selection of rule-specific species ------------------------------------------------------------ 4. Combinatory Access (R2) activation of pair cameras ------------------------------------------------------------ 5. Traversal Authorization (R3) permission to traverse structure ============================================================ IV. CORE ADMISSIBILITY PRINCIPLE ============================================================ A query is admissible iff: Q_admissible ⇔ reducible_to_carrier(Q) ∧ definition_bound(Q) ∧ non-contradictory(Q) ∧ structurally_grounded(Q) ------------------------------------------------------------ All four conditions are mandatory. ============================================================ V. ADMISSIBILITY CONDITIONS ============================================================ ------------------------------------------------------------ 1. REDUCTIBILITY CONDITION ------------------------------------------------------------ Q must be reducible to at least one carrier: ∃ n ∈ R0 such that: Q → n ------------------------------------------------------------ Failure: → reject execution ------------------------------------------------------------ 2. DEFINITION BINDING CONDITION ------------------------------------------------------------ Q must be expressible in terms of: TENET E definitions TENET R species ------------------------------------------------------------ Constraint: no unbound external semantics all external terms must be: • mapped via CAPUT / AEGIS • definition-bound before admissibility ------------------------------------------------------------ Failure: → block species invocation ------------------------------------------------------------ 3. NON-CONTRADICTION CONDITION ------------------------------------------------------------ Q must not contain: mutually exclusive predicates incompatible species bindings ------------------------------------------------------------ Applies to: R1 (species) R2 (combinations) ------------------------------------------------------------ Failure: → reject traversal ------------------------------------------------------------ 4. STRUCTURAL GROUNDING CONDITION ------------------------------------------------------------ Q must map onto ROTAS_E: R0 → R1 → (optional R2) → R3 ------------------------------------------------------------ Constraint: no floating species no direct R1 → R1 transitions no bypass of carrier layer ------------------------------------------------------------ Failure: → reject execution ============================================================ VI. CARRIER ADMISSIBILITY (R0) ============================================================ A carrier n is admissible iff: Q reduces to n AND n participates in valid ROTAS position ------------------------------------------------------------ Multiple carriers: allowed Constraint: must remain distinguishable (no implicit collapse) ============================================================ VII. SPECIES ADMISSIBILITY (R1) ============================================================ A species s is admissible iff: s ∈ R1(n) AND s is definition-compatible with Q ------------------------------------------------------------ Constraint: Cross-carrier species interaction is allowed only when: • explicitly mediated through R2 (combinatory binding) • traceable to carrier pair (nᵢ, nⱼ) Unmediated cross-carrier species interaction is forbidden. ============================================================ VIII. COMBINATORY ADMISSIBILITY (R2) ============================================================ A pair (nᵢ, nⱼ) is admissible iff: both carriers are individually admissible AND combination does not violate: • non-contradiction • definition binding ------------------------------------------------------------ Constraint: symmetry allowed structurally directionality determined by OPERA ============================================================ IX. TRAVERSAL ADMISSIBILITY (R3) ============================================================ A traversal path P is admissible iff: all nodes in P are admissible AND transitions respect: • carrier anchoring • species constraints • combinatory validity ------------------------------------------------------------ Invalid paths: ✗ species-only chains ✗ carrier skipping ✗ undefined transitions ============================================================ X. FAILURE MODES ============================================================ AREPO_E defines four rejection modes: ------------------------------------------------------------ 1. NON-REDUCIBLE Q cannot map to any carrier ------------------------------------------------------------ 2. UNBOUND Q contains unbound semantics ------------------------------------------------------------ 3. CONTRADICTORY incompatible predicates or species ------------------------------------------------------------ 4. STRUCTURALLY INVALID violates ROTAS_E constraints ============================================================ XI. ADMISSIBILITY OUTPUT ============================================================ AREPO_E produces: admissible / non-admissible decision ------------------------------------------------------------ Optional output: admissibility trace: Q → carrier(s) → species → structure ============================================================ XII. RELATION TO OPERA Q ============================================================ AREPO_E does not execute. ------------------------------------------------------------ AREPO_E provides: authorization boundary ------------------------------------------------------------ OPERA Q executes only if: admissibility = TRUE ============================================================ XIII. LIMITS ============================================================ AREPO_E does NOT: • determine truth • rank alternatives • perform synthesis • resolve ambiguity ------------------------------------------------------------ AREPO_E ONLY: permits or blocks execution ============================================================ XIV. CLOSURE ============================================================ AREPO_E establishes: the admissibility layer required to: • safely activate ROTAS_E • lawfully invoke OPERA Q ------------------------------------------------------------ With this artifact: ✓ execution becomes gated ✓ invalid queries are blocked ✓ structure is preserved during execution ------------------------------------------------------------ STATUS: FUNCTIONALLY COMPLETE LOCK-CANDIDATE ============================================================ END OF ARTIFACT ============================================================ END_VERBATIM_ARTIFACT: AREPO ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: OPERA Source_File: 04_STACK_E/OPERA_E_ExecutionMechanism.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 23208 Source_SHA256: 165f1d353670cb6acbae8b564de0c9e98a51c0241853d4b75f4026283bb406e8 ------------------------------------------------------------ ============================================================ OPERA E â€” REGIMEN_RQ (EXECUTION LAYER) Ars Generalis Applied â€” Interrogative Reduction Engine Version: 1.0.3-OPERA-E-CIRCULAR-INTEGRATED Status: LOCK-CANDIDATE / PATCH INTEGRATED Scope: EXECUTION / REDUCTION / RESULT CONSTRUCTION Authority: AGLA / OPERA Class: OPERA Mutation Policy: VERSION-CONTROLLED ONLY Alias: OPERA Q ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [I. PURPOSE](#local-section-04-stack-e-opera-e-executionmechanism-i-purpose) - [II. POSITION IN CLASS ORDER](#local-section-04-stack-e-opera-e-executionmechanism-ii-position-in-class-order) - [III. EXECUTION OBJECT](#local-section-04-stack-e-opera-e-executionmechanism-iii-execution-object) - [IV. CORE EXECUTION PRINCIPLE](#local-section-04-stack-e-opera-e-executionmechanism-iv-core-execution-principle) - [V. EXECUTION STAGES](#local-section-04-stack-e-opera-e-executionmechanism-v-execution-stages) - [Stage 0 â€” INPUT RESOLUTION](#local-section-04-stack-e-opera-e-executionmechanism-stage-0-input-resolution) - [Stage I â€” REDUCTIO AD REGULAM](#local-section-04-stack-e-opera-e-executionmechanism-stage-i-reductio-ad-regulam) - [Stage II â€” DEFINITION BINDING](#local-section-04-stack-e-opera-e-executionmechanism-stage-ii-definition-binding) - [Stage III â€” OBJECTIFICATIO](#local-section-04-stack-e-opera-e-executionmechanism-stage-iii-objectificatio) - [Stage IV â€” SPECIES ACTIVATION](#local-section-04-stack-e-opera-e-executionmechanism-stage-iv-species-activation) - [Stage V â€” EVALUATIO](#local-section-04-stack-e-opera-e-executionmechanism-stage-v-evaluatio) - [Stage VI â€” ELECTIO](#local-section-04-stack-e-opera-e-executionmechanism-stage-vi-electio) - [Stage VII â€” RESULT CONSTRUCTION](#local-section-04-stack-e-opera-e-executionmechanism-stage-vii-result-construction) - [VI. EXECUTION CONSTRAINTS](#local-section-04-stack-e-opera-e-executionmechanism-vi-execution-constraints) - [1. STRUCTURAL DEPENDENCE](#local-section-04-stack-e-opera-e-executionmechanism-1-structural-dependence) - [2. ADMISSIBILITY DEPENDENCE](#local-section-04-stack-e-opera-e-executionmechanism-2-admissibility-dependence) - [3. DEFINITION PRIMACY](#local-section-04-stack-e-opera-e-executionmechanism-3-definition-primacy) - [4. NON-STOCHASTICITY](#local-section-04-stack-e-opera-e-executionmechanism-4-non-stochasticity) - [5. TRACEABILITY](#local-section-04-stack-e-opera-e-executionmechanism-5-traceability) - [VII. EXECUTION MODES](#local-section-04-stack-e-opera-e-executionmechanism-vii-execution-modes) - [1. SINGLE-CARRIER MODE](#local-section-04-stack-e-opera-e-executionmechanism-1-single-carrier-mode) - [2. MULTI-CARRIER MODE](#local-section-04-stack-e-opera-e-executionmechanism-2-multi-carrier-mode) - [3. RECURSIVE MODE](#local-section-04-stack-e-opera-e-executionmechanism-3-recursive-mode) - [VIII. FAILURE HANDLING](#local-section-04-stack-e-opera-e-executionmechanism-viii-failure-handling) - [IX. OUTPUT STRUCTURE](#local-section-04-stack-e-opera-e-executionmechanism-ix-output-structure) - [X. CIRCULAR INTERROGATIVE CONSISTENCY VALIDATION](#local-section-04-stack-e-opera-e-executionmechanism-x-circular-interrogative-consistency-validation) - [PURPOSE](#local-section-04-stack-e-opera-e-executionmechanism-purpose) - [VALIDATION PRINCIPLE](#local-section-04-stack-e-opera-e-executionmechanism-validation-principle) - [ACT GENERATION LAW](#local-section-04-stack-e-opera-e-executionmechanism-act-generation-law) - [AGENT GROUNDING LAW](#local-section-04-stack-e-opera-e-executionmechanism-agent-grounding-law) - [CIRCULAR INTERROGATIVE CLOSURE](#local-section-04-stack-e-opera-e-executionmechanism-circular-interrogative-closure) - [CIRCULAR CONSISTENCY CHECK](#local-section-04-stack-e-opera-e-executionmechanism-circular-consistency-check) - [CHECK:](#local-section-04-stack-e-opera-e-executionmechanism-check) - [Q_CIRCULAR_INCONSISTENCY:](#local-section-04-stack-e-opera-e-executionmechanism-q-circular-inconsistency) - [VALIDITY CONSEQUENCES](#local-section-04-stack-e-opera-e-executionmechanism-validity-consequences) - [OUTPUT EXTENSION](#local-section-04-stack-e-opera-e-executionmechanism-output-extension) - [CIRCULAR_INTERROGATIVE_VALIDATION:](#local-section-04-stack-e-opera-e-executionmechanism-circular-interrogative-validation) - [RESULT](#local-section-04-stack-e-opera-e-executionmechanism-result) - [XI. LIMITS](#local-section-04-stack-e-opera-e-executionmechanism-xi-limits) - [OPERA_E ONLY:](#local-section-04-stack-e-opera-e-executionmechanism-opera-e-only) - [XII. CLOSURE](#local-section-04-stack-e-opera-e-executionmechanism-xii-closure) - [STATUS:](#local-section-04-stack-e-opera-e-executionmechanism-status) I. PURPOSE ------------------------------------------------------------ Define the execution system governing: STACK E â€” REGIMEN_RQ ------------------------------------------------------------ OPERA_E performs: â€¢ interrogative reduction â€¢ carrier-driven traversal â€¢ species activation â€¢ structured result construction ------------------------------------------------------------ OPERA_E operates only when: admissibility = TRUE (AREPO_E) ============================================================ II. POSITION IN CLASS ORDER ============================================================ TENET â†’ ROTAS â†’ AREPO â†’ OPERA â†’ SATOR ------------------------------------------------------------ OPERA_E operates: AFTER admissibility authorization WITHIN ROTAS_E structure ============================================================ III. EXECUTION OBJECT ============================================================ Input: admissible question Q ------------------------------------------------------------ Output: structured result R(Q) ------------------------------------------------------------ Execution Domain: interrogative reduction space (ROTAS_E) ============================================================ IV. CORE EXECUTION PRINCIPLE ============================================================ Execution is defined as: reduction + traversal + construction ------------------------------------------------------------ Formal: OPERA_E(Q) = construct( traverse( activate( reduce(Q) ) ) ) ------------------------------------------------------------ Definition: structured result = â€¢ carrier-grounded â€¢ species-bound â€¢ traversal-consistent configuration ============================================================ V. EXECUTION STAGES ============================================================ ------------------------------------------------------------ Stage 0 â€” INPUT RESOLUTION ------------------------------------------------------------ Normalize Q into: â€¢ syntactic unit â€¢ structural candidate set ------------------------------------------------------------ Constraint: no semantic expansion beyond CAPUT-bound mappings ------------------------------------------------------------ Stage I â€” REDUCTIO AD REGULAM ------------------------------------------------------------ Map Q â†’ carrier set: Q â†’ { nâ‚, nâ‚‚, ..., nâ‚– } ------------------------------------------------------------ Constraint: must respect TENET E definitions ------------------------------------------------------------ Stage II â€” DEFINITION BINDING ------------------------------------------------------------ Bind: carriers â†’ definitions (TENET E) species â†’ domains (TENET R) ------------------------------------------------------------ Output: bound structure B(Q) ------------------------------------------------------------ Stage III â€” OBJECTIFICATIO ------------------------------------------------------------ Construct interrogative object: O(Q) ------------------------------------------------------------ Definition: minimal structured form representing Q within ROTAS_E ------------------------------------------------------------ Constraint: no traversal yet ------------------------------------------------------------ Stage IV â€” SPECIES ACTIVATION ------------------------------------------------------------ Activate species for each carrier: n â†’ R1(n) ------------------------------------------------------------ Output: expanded object Oâ‚›(Q) ------------------------------------------------------------ Stage V â€” EVALUATIO ------------------------------------------------------------ Evaluate admissible paths: P âŠ‚ R3 ------------------------------------------------------------ Constraint: must respect: â€¢ ROTAS_E structure â€¢ AREPO_E admissibility ------------------------------------------------------------ Stage VI â€” ELECTIO ------------------------------------------------------------ Select valid resolution path: P* ------------------------------------------------------------ Selection Criteria: â€¢ structural completeness â€¢ definition consistency â€¢ admissibility compliance ------------------------------------------------------------ Note: selection is deterministic no optimization or ranking implied ------------------------------------------------------------ Stage VII â€” RESULT CONSTRUCTION ------------------------------------------------------------ Produce structured result: R(Q) ------------------------------------------------------------ Form: â€¢ carrier-based â€¢ species-grounded â€¢ traversal-consistent ------------------------------------------------------------ Output is: deterministic reconstructible ============================================================ VI. EXECUTION CONSTRAINTS ============================================================ ------------------------------------------------------------ 1. STRUCTURAL DEPENDENCE ------------------------------------------------------------ All execution must occur within: ROTAS_E ------------------------------------------------------------ 2. ADMISSIBILITY DEPENDENCE ------------------------------------------------------------ Execution requires: AREPO_E approval ------------------------------------------------------------ 3. DEFINITION PRIMACY ------------------------------------------------------------ No operation without: TENET binding ------------------------------------------------------------ 4. NON-STOCHASTICITY ------------------------------------------------------------ Execution is deterministic ------------------------------------------------------------ 5. TRACEABILITY ------------------------------------------------------------ All steps must be reconstructible: Q â†’ R0 â†’ R1 â†’ R2 â†’ R3 â†’ R(Q) ============================================================ VII. EXECUTION MODES ============================================================ ------------------------------------------------------------ 1. SINGLE-CARRIER MODE ------------------------------------------------------------ Q â†’ n â†’ R1(n) â†’ R(Q) ------------------------------------------------------------ 2. MULTI-CARRIER MODE ------------------------------------------------------------ Q â†’ {nâ‚, nâ‚‚} â†’ R2(nâ‚,nâ‚‚) â†’ R(Q) ------------------------------------------------------------ 3. RECURSIVE MODE ------------------------------------------------------------ R(Q) â†’ Q' â†’ OPERA_E(Q') ------------------------------------------------------------ Constraint: recursion must re-enter AREPO_E ============================================================ VIII. FAILURE HANDLING ============================================================ OPERA_E does not define admissibility failures. ------------------------------------------------------------ If failure occurs: defer to AREPO_E ============================================================ IX. OUTPUT STRUCTURE ============================================================ R(Q) contains: â€¢ carrier mapping â€¢ species activation â€¢ traversal path â€¢ structured result ------------------------------------------------------------ Optional: execution trace ============================================================ X. CIRCULAR INTERROGATIVE CONSISTENCY VALIDATION ============================================================ PURPOSE ------------------------------------------------------------ Circular interrogative consistency validation treats the REGIMEN_RQ interrogative scaffold as a quasi-cyclic structure for validation purposes. It does NOT claim: â€¢ that Q is a literal ROTA â€¢ that Llull defined Q as a wheel It DOES establish: â€¢ a lawful isomorphic projection for validation â€¢ cyclic coherence checking across interrogative loci â€¢ improved anti-drift control in OPERA_E execution ------------------------------------------------------------ VALIDATION PRINCIPLE ------------------------------------------------------------ A question structure is not fully validated merely because: â€¢ individual questions are answered â€¢ local coherence is present It must also be coherent with: â€¢ the generative triad from which a question arises â€¢ the downstream questions it must sustain Thus OPERA_E validates: local interrogative validity + scaffold completeness + circular interrogative coherence ------------------------------------------------------------ ACT GENERATION LAW ------------------------------------------------------------ Exploratory ACT mapping: E (CAUSE) = ACT(B, C, D) F (QUANTITY) = ACT(C, D, E) G (QUALITY) = ACT(D, E, F) H (WHEN) = ACT(E, F, G) I (WHERE) = ACT(F, G, H) K (HOW / WITH WHAT) = ACT(G, H, I) Where: B = POSSIBILITY (AN SIT) C = QUIDDITY (QUID SIT) D = MATERIALITY (DE QUO EST) Interpretation: Higher-order questions emerge from foundational ones. Example: â€¢ Cause cannot be stable if possibility, quiddity, and material grounding are weak Rule: No higher-order question may be treated as resolved if its source triad is unresolved or inconsistent. ------------------------------------------------------------ AGENT GROUNDING LAW ------------------------------------------------------------ Exploratory AGENT mapping: B (POSSIBILITY) = AGENT(H, I, K) C (QUIDDITY) = AGENT(I, K, B) D (MATERIALITY) = AGENT(K, B, C) Interpretation: Foundational questions are retro-validated by applied ones. Example: â€¢ a claimed possibility must remain compatible with when/where/how it is instantiated Rule: Foundational Q-answers must not contradict their applied manifestation. ------------------------------------------------------------ CIRCULAR INTERROGATIVE CLOSURE ------------------------------------------------------------ Closure: B â†’ C â†’ D â†’ E â†’ F â†’ G â†’ H â†’ I â†’ K â†’ B Rule: After OPERA_E execution, the question-field must be checked for cyclic coherence. Meaning: A Q-structure may be: â€¢ locally answered â€¢ partially coherent â€¢ yet globally inconsistent Constraint: This is a validation overlay, not a replacement of Q-sequence. ------------------------------------------------------------ CIRCULAR CONSISTENCY CHECK ------------------------------------------------------------ For each Q-node: CHECK: consistency with source triad consistency with target triad Flag: Q_CIRCULAR_INCONSISTENCY: assigned when answers across Q-loci cannot be jointly sustained ------------------------------------------------------------ VALIDITY CONSEQUENCES ------------------------------------------------------------ If circular inconsistency is: minor: â†’ mark as PARTIAL structural: â†’ mark as INCOMPLETE_Q_FIELD severe: â†’ force re-interrogation at B/C/D level Rule: Q must not proceed to A/T/D if circular inconsistency is load-bearing. ------------------------------------------------------------ OUTPUT EXTENSION ------------------------------------------------------------ R(Q) may include: CIRCULAR_INTERROGATIVE_VALIDATION: ACT_SOURCE_STATUS:: AGENT_TARGET_STATUS:: Q_CLOSURE_STATUS:: Q_CIRCULAR_FLAGS::{...} ------------------------------------------------------------ RESULT ------------------------------------------------------------ OPERA_E becomes: a coherent interrogative field validator not merely: a question enumerator ============================================================ XI. LIMITS ============================================================ OPERA_E does NOT: â€¢ define admissibility (AREPO) â€¢ define structure (ROTAS) â€¢ define principles (TENET) â€¢ mediate output (SATOR) ------------------------------------------------------------ OPERA_E ONLY: executes interrogative reduction ============================================================ XII. CLOSURE ============================================================ OPERA_E establishes: the execution engine for: REGIMEN_RQ ------------------------------------------------------------ With this artifact: âœ“ questions become reducible âœ“ structure becomes traversable âœ“ results become constructible ------------------------------------------------------------ STATUS: FUNCTIONALLY COMPLETE LOCK-CANDIDATE CIRCULAR-VALIDATION-INTEGRATED ============================================================ END OF ARTIFACT ============================================================ END_VERBATIM_ARTIFACT: OPERA ============================================================ ============================================================ BEGIN_VERBATIM_ARTIFACT: SATOR Source_File: 04_STACK_E/SATOR_E_OutputRequirements.md Source_Exists: TRUE Source_Non_Empty: TRUE Source_Length_Bytes: 14049 Source_SHA256: c6a8ca39d657488b382f41a04ed924123820d7223f8f4d5dc053003e9689f898 ------------------------------------------------------------ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [Mutation Policy: VERSION-CONTROLLED ONLY](#local-section-04-stack-e-sator-e-outputrequirements-mutation-policy-version-controlled-only) - [I. PURPOSE](#local-section-04-stack-e-sator-e-outputrequirements-i-purpose) - [II. POSITION IN CLASS ORDER](#local-section-04-stack-e-sator-e-outputrequirements-ii-position-in-class-order) - [III. MEDIATION OBJECT](#local-section-04-stack-e-sator-e-outputrequirements-iii-mediation-object) - [IV. CORE MEDIATION PRINCIPLE](#local-section-04-stack-e-sator-e-outputrequirements-iv-core-mediation-principle) - [V. MEDIATION FUNCTIONS](#local-section-04-stack-e-sator-e-outputrequirements-v-mediation-functions) - [1. STATE EXPOSURE](#local-section-04-stack-e-sator-e-outputrequirements-1-state-exposure) - [2. STRUCTURAL ARTICULATION](#local-section-04-stack-e-sator-e-outputrequirements-2-structural-articulation) - [3. CONFIGURATION RENDERING](#local-section-04-stack-e-sator-e-outputrequirements-3-configuration-rendering) - [4. TRACE EXPOSURE](#local-section-04-stack-e-sator-e-outputrequirements-4-trace-exposure) - [5. INTERACTION SUPPORT](#local-section-04-stack-e-sator-e-outputrequirements-5-interaction-support) - [VI. MEDIATION CONSTRAINTS](#local-section-04-stack-e-sator-e-outputrequirements-vi-mediation-constraints) - [1. NON-EXECUTION](#local-section-04-stack-e-sator-e-outputrequirements-1-non-execution) - [2. NON-ADMISSIBILITY](#local-section-04-stack-e-sator-e-outputrequirements-2-non-admissibility) - [3. NON-SEMANTIC EXPANSION](#local-section-04-stack-e-sator-e-outputrequirements-3-non-semantic-expansion) - [4. STRUCTURAL FIDELITY](#local-section-04-stack-e-sator-e-outputrequirements-4-structural-fidelity) - [VII. OUTPUT STRUCTURE](#local-section-04-stack-e-sator-e-outputrequirements-vii-output-structure) - [VIII. FAILURE EXPOSURE](#local-section-04-stack-e-sator-e-outputrequirements-viii-failure-exposure) - [IX. INTERACTION MODES](#local-section-04-stack-e-sator-e-outputrequirements-ix-interaction-modes) - [1. PASSIVE MODE](#local-section-04-stack-e-sator-e-outputrequirements-1-passive-mode) - [2. INSPECTIVE MODE](#local-section-04-stack-e-sator-e-outputrequirements-2-inspective-mode) - [3. TRACE MODE](#local-section-04-stack-e-sator-e-outputrequirements-3-trace-mode) - [X. LIMITS](#local-section-04-stack-e-sator-e-outputrequirements-x-limits) - [SATOR_E ONLY:](#local-section-04-stack-e-sator-e-outputrequirements-sator-e-only) - [XI. CLOSURE](#local-section-04-stack-e-sator-e-outputrequirements-xi-closure) - [STATUS:](#local-section-04-stack-e-sator-e-outputrequirements-status) ============================================================ SATOR E — REGIMEN_RQ (MEDIATION LAYER) Ars Generalis Applied — Interrogative Exposure Interface Version: 1.0.1-SATOR-E-PATCHED Status: LOCK-CANDIDATE Scope: MEDIATION / EXPOSURE / INTERACTION Authority: AGLA / SATOR Class: SATOR Mutation Policy: VERSION-CONTROLLED ONLY ============================================================ I. PURPOSE ------------------------------------------------------------ Define the mediation layer governing: STACK E — REGIMEN_RQ ------------------------------------------------------------ SATOR_E exposes: • admissibility states (AREPO_E) • execution states (OPERA_E) • structural positions (ROTAS_E) • carrier and species articulation (TENET E / R) ------------------------------------------------------------ SATOR_E does NOT: • define doctrine (TENET) • define structure (ROTAS) • authorize execution (AREPO) • execute (OPERA) ============================================================ II. POSITION IN CLASS ORDER ============================================================ TENET → ROTAS → AREPO → OPERA → SATOR ------------------------------------------------------------ SATOR_E operates: AFTER execution AS exposure layer for interaction ============================================================ III. MEDIATION OBJECT ============================================================ Input: structured result R(Q) ------------------------------------------------------------ Output: exposed interrogative configuration E(Q) ------------------------------------------------------------ Domain: user-facing or system-facing exposure interface ============================================================ IV. CORE MEDIATION PRINCIPLE ============================================================ SATOR_E performs: exposure + articulation ------------------------------------------------------------ Formal: SATOR_E(R(Q)) = expose( articulate( R(Q) ) ) ------------------------------------------------------------ Definition: structurally legible configuration = • carrier-visible • species-readable • traversal-explicit • structurally faithful representation where: legible = directly readable from structure without semantic enrichment ============================================================ V. MEDIATION FUNCTIONS ============================================================ ------------------------------------------------------------ 1. STATE EXPOSURE ------------------------------------------------------------ Expose execution state: • admissible / non-admissible (AREPO_E) • execution trace (OPERA_E) • structural path (ROTAS_E) ------------------------------------------------------------ Constraint: no transformation of state ------------------------------------------------------------ 2. STRUCTURAL ARTICULATION ------------------------------------------------------------ Articulate: • carrier set {n} • species set R1(n) • combinatory pairs R2 • traversal path P* ------------------------------------------------------------ Constraint: must preserve traceability ------------------------------------------------------------ 3. CONFIGURATION RENDERING ------------------------------------------------------------ Render R(Q) into: structurally legible configuration ------------------------------------------------------------ Forms may include: • symbolic (carrier notation) • structural (path representation) • descriptive (controlled structural language) ------------------------------------------------------------ Constraint: no semantic enrichment beyond structure ------------------------------------------------------------ 4. TRACE EXPOSURE ------------------------------------------------------------ Expose full trace: Q → R0 → R1 → R2 → R3 → R(Q) ------------------------------------------------------------ Constraint: must remain reconstructible ------------------------------------------------------------ 5. INTERACTION SUPPORT ------------------------------------------------------------ Enable: • inspection of structure • inspection of admissibility • inspection of execution path ------------------------------------------------------------ Constraint: no modification of execution ============================================================ VI. MEDIATION CONSTRAINTS ============================================================ ------------------------------------------------------------ 1. NON-EXECUTION ------------------------------------------------------------ SATOR_E cannot: • perform reduction • activate species • traverse structure ------------------------------------------------------------ 2. NON-ADMISSIBILITY ------------------------------------------------------------ SATOR_E cannot: • authorize or reject Q ------------------------------------------------------------ 3. NON-SEMANTIC EXPANSION ------------------------------------------------------------ SATOR_E cannot: • introduce new meanings • reinterpret results ------------------------------------------------------------ Allowed: • structural articulation only ------------------------------------------------------------ 4. STRUCTURAL FIDELITY ------------------------------------------------------------ All outputs must: preserve exact structure of R(Q) ============================================================ VII. OUTPUT STRUCTURE ============================================================ E(Q) contains: • carrier mapping • species activation • combinatory relations • traversal path • admissibility state • execution trace ------------------------------------------------------------ Optional: • multiple representation formats ============================================================ VIII. FAILURE EXPOSURE ============================================================ If execution fails (AREPO_E): expose failure mode: • NON-REDUCIBLE • UNBOUND • CONTRADICTORY • STRUCTURALLY INVALID ------------------------------------------------------------ Constraint: no reinterpretation of failure ============================================================ IX. INTERACTION MODES ============================================================ ------------------------------------------------------------ 1. PASSIVE MODE ------------------------------------------------------------ Display E(Q) without transformation ------------------------------------------------------------ 2. INSPECTIVE MODE ------------------------------------------------------------ Allow step-by-step inspection of: • carriers • species • traversal ------------------------------------------------------------ 3. TRACE MODE ------------------------------------------------------------ Expose full execution trace ------------------------------------------------------------ Constraint: all modes are read-only ============================================================ X. LIMITS ============================================================ SATOR_E does NOT: • define truth • define admissibility • execute logic • modify structure ------------------------------------------------------------ SATOR_E ONLY: exposes and articulates results ============================================================ XI. CLOSURE ============================================================ SATOR_E establishes: the mediation interface for: REGIMEN_RQ ------------------------------------------------------------ With this artifact: ✓ execution becomes observable ✓ structure becomes inspectable ✓ results become structurally legible ------------------------------------------------------------ STATUS: FUNCTIONALLY COMPLETE LOCK-CANDIDATE ============================================================ END OF ARTIFACT ============================================================ END_VERBATIM_ARTIFACT: SATOR ============================================================ ============================================================ END SIGMA_SATOR KERNEL BUNDLE: SIGMA_SATOR_E ============================================================