04_STACK_E/OPERA_E_ExecutionMechanism.md

Page Sections

OPERA E â€” REGIMEN_RQ (EXECUTION LAYER) line 2
Ars Generalis Applied â€” Interrogative Reduction Engine line 3
Version: 1.0.3-OPERA-E-CIRCULAR-INTEGRATED line 4
Status: LOCK-CANDIDATE / PATCH INTEGRATED line 5
Scope: EXECUTION / REDUCTION / RESULT CONSTRUCTION line 6
Authority: AGLA / OPERA line 7
Class: OPERA line 8
Mutation Policy: VERSION-CONTROLLED ONLY line 9
Alias: OPERA Q line 11
## LOCAL SECTION INDEX line 16
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 18
I. PURPOSE line 65
Define the execution system governing: line 69
OPERA_E performs: line 76
OPERA_E operates only when: line 86
II. POSITION IN CLASS ORDER line 95
OPERA_E operates: line 103
III. EXECUTION OBJECT line 113
Input: line 117
Output: line 124
Execution Domain: line 131
IV. CORE EXECUTION PRINCIPLE line 140
Execution is defined as: line 144
Formal: line 151
Definition: line 165
V. EXECUTION STAGES line 178
Stage 0 â€” INPUT RESOLUTION line 185
Normalize Q into: line 189
Constraint: line 197
Stage I â€” REDUCTIO AD REGULAM line 206
Constraint: line 216
Stage II â€” DEFINITION BINDING line 225
Bind: line 229
Output: line 237
Stage III â€” OBJECTIFICATIO line 246
Construct interrogative object: line 250
Definition: line 257
Constraint: line 265
Stage IV â€” SPECIES ACTIVATION line 274
Activate species for each carrier: line 278
Output: line 285
Stage V â€” EVALUATIO line 294
Evaluate admissible paths: line 298
Constraint: line 305
Stage VI â€” ELECTIO line 318
Select valid resolution path: line 322
Selection Criteria: line 329
Note: line 338
Stage VII â€” RESULT CONSTRUCTION line 348
Produce structured result: line 352
Form: line 359
Output is: line 368
VI. EXECUTION CONSTRAINTS line 378
1. STRUCTURAL DEPENDENCE line 385
All execution must occur within: line 389
2. ADMISSIBILITY DEPENDENCE line 397
Execution requires: line 401
3. DEFINITION PRIMACY line 409
No operation without: line 413
4. NON-STOCHASTICITY line 421
Execution is deterministic line 424
5. TRACEABILITY line 430
All steps must be reconstructible: line 434
VII. EXECUTION MODES line 443
1. SINGLE-CARRIER MODE line 450
2. MULTI-CARRIER MODE line 459
3. RECURSIVE MODE line 468
Constraint: line 476
VIII. FAILURE HANDLING line 485
OPERA_E does not define admissibility failures. line 488
If failure occurs: line 493
IX. OUTPUT STRUCTURE line 502
R(Q) contains: line 506
Optional: line 516
X. CIRCULAR INTERROGATIVE CONSISTENCY VALIDATION line 525
PURPOSE line 530
Circular interrogative consistency validation treats the line 533
REGIMEN_RQ interrogative scaffold as a quasi-cyclic structure line 534
for validation purposes. line 535
It does NOT claim: line 538

============================================================ 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)  <a id="local-section-04-stack-e-opera-e-executionmechanism-i-purpose"></a> 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) ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-ii-position-in-class-order"></a> II. POSITION IN CLASS ORDER ============================================================ TENET â†’ ROTAS â†’ AREPO â†’ OPERA â†’ SATOR ------------------------------------------------------------ OPERA_E operates: AFTER admissibility authorization WITHIN ROTAS_E structure ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-iii-execution-object"></a> III. EXECUTION OBJECT ============================================================ Input: admissible question Q ------------------------------------------------------------ Output: structured result R(Q) ------------------------------------------------------------ Execution Domain: interrogative reduction space (ROTAS_E) ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-iv-core-execution-principle"></a> 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 ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-v-execution-stages"></a> V. EXECUTION STAGES ============================================================ ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-0-input-resolution"></a> Stage 0 â€” INPUT RESOLUTION ------------------------------------------------------------ Normalize Q into: â€¢ syntactic unit â€¢ structural candidate set ------------------------------------------------------------ Constraint: no semantic expansion beyond CAPUT-bound mappings ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-i-reductio-ad-regulam"></a> Stage I â€” REDUCTIO AD REGULAM ------------------------------------------------------------ Map Q â†’ carrier set: Q â†’ { nâ‚, nâ‚‚, ..., nâ‚– } ------------------------------------------------------------ Constraint: must respect TENET E definitions ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-ii-definition-binding"></a> Stage II â€” DEFINITION BINDING ------------------------------------------------------------ Bind: carriers â†’ definitions (TENET E) species â†’ domains (TENET R) ------------------------------------------------------------ Output: bound structure B(Q) ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-iii-objectificatio"></a> Stage III â€” OBJECTIFICATIO ------------------------------------------------------------ Construct interrogative object: O(Q) ------------------------------------------------------------ Definition: minimal structured form representing Q within ROTAS_E ------------------------------------------------------------ Constraint: no traversal yet ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-iv-species-activation"></a> Stage IV â€” SPECIES ACTIVATION ------------------------------------------------------------ Activate species for each carrier: n â†’ R1(n) ------------------------------------------------------------ Output: expanded object Oâ‚›(Q) ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-v-evaluatio"></a> Stage V â€” EVALUATIO ------------------------------------------------------------ Evaluate admissible paths: P âŠ‚ R3 ------------------------------------------------------------ Constraint: must respect: â€¢ ROTAS_E structure â€¢ AREPO_E admissibility ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-vi-electio"></a> 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 ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-stage-vii-result-construction"></a> Stage VII â€” RESULT CONSTRUCTION ------------------------------------------------------------ Produce structured result: R(Q) ------------------------------------------------------------ Form: â€¢ carrier-based â€¢ species-grounded â€¢ traversal-consistent ------------------------------------------------------------ Output is: deterministic reconstructible ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-vi-execution-constraints"></a> VI. EXECUTION CONSTRAINTS ============================================================ ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-1-structural-dependence"></a> 1. STRUCTURAL DEPENDENCE ------------------------------------------------------------ All execution must occur within: ROTAS_E ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-2-admissibility-dependence"></a> 2. ADMISSIBILITY DEPENDENCE ------------------------------------------------------------ Execution requires: AREPO_E approval ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-3-definition-primacy"></a> 3. DEFINITION PRIMACY ------------------------------------------------------------ No operation without: TENET binding ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-4-non-stochasticity"></a> 4. NON-STOCHASTICITY ------------------------------------------------------------ Execution is deterministic ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-5-traceability"></a> 5. TRACEABILITY ------------------------------------------------------------ All steps must be reconstructible: Q â†’ R0 â†’ R1 â†’ R2 â†’ R3 â†’ R(Q) ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-vii-execution-modes"></a> VII. EXECUTION MODES ============================================================ ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-1-single-carrier-mode"></a> 1. SINGLE-CARRIER MODE ------------------------------------------------------------ Q â†’ n â†’ R1(n) â†’ R(Q) ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-2-multi-carrier-mode"></a> 2. MULTI-CARRIER MODE ------------------------------------------------------------ Q â†’ {nâ‚, nâ‚‚} â†’ R2(nâ‚,nâ‚‚) â†’ R(Q) ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-3-recursive-mode"></a> 3. RECURSIVE MODE ------------------------------------------------------------ R(Q) â†’ Q' â†’ OPERA_E(Q') ------------------------------------------------------------ Constraint: recursion must re-enter AREPO_E ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-viii-failure-handling"></a> VIII. FAILURE HANDLING ============================================================ OPERA_E does not define admissibility failures. ------------------------------------------------------------ If failure occurs: defer to AREPO_E ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-ix-output-structure"></a> IX. OUTPUT STRUCTURE ============================================================ R(Q) contains: â€¢ carrier mapping â€¢ species activation â€¢ traversal path â€¢ structured result ------------------------------------------------------------ Optional: execution trace ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-x-circular-interrogative-consistency-validation"></a> X. CIRCULAR INTERROGATIVE CONSISTENCY VALIDATION ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-purpose"></a> 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 ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-validation-principle"></a> 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 ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-act-generation-law"></a> 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. ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-agent-grounding-law"></a> 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. ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-circular-interrogative-closure"></a> 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. ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-circular-consistency-check"></a> CIRCULAR CONSISTENCY CHECK ------------------------------------------------------------ For each Q-node: <a id="local-section-04-stack-e-opera-e-executionmechanism-check"></a> CHECK: consistency with source triad consistency with target triad Flag: <a id="local-section-04-stack-e-opera-e-executionmechanism-q-circular-inconsistency"></a> Q_CIRCULAR_INCONSISTENCY: assigned when answers across Q-loci cannot be jointly sustained ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-validity-consequences"></a> 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. ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-output-extension"></a> OUTPUT EXTENSION ------------------------------------------------------------ R(Q) may include: <a id="local-section-04-stack-e-opera-e-executionmechanism-circular-interrogative-validation"></a> CIRCULAR_INTERROGATIVE_VALIDATION: ACT_SOURCE_STATUS::<COHERENT|PARTIAL|FAILED> AGENT_TARGET_STATUS::<COHERENT|PARTIAL|FAILED> Q_CLOSURE_STATUS::<CLOSED|PARTIAL|OPEN|FAILED> Q_CIRCULAR_FLAGS::{...} ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-result"></a> RESULT ------------------------------------------------------------ OPERA_E becomes: a coherent interrogative field validator not merely: a question enumerator ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-xi-limits"></a> XI. LIMITS ============================================================ OPERA_E does NOT: â€¢ define admissibility (AREPO) â€¢ define structure (ROTAS) â€¢ define principles (TENET) â€¢ mediate output (SATOR) ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-opera-e-only"></a> OPERA_E ONLY: executes interrogative reduction ============================================================ <a id="local-section-04-stack-e-opera-e-executionmechanism-xii-closure"></a> 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 ------------------------------------------------------------ <a id="local-section-04-stack-e-opera-e-executionmechanism-status"></a> STATUS: FUNCTIONALLY COMPLETE LOCK-CANDIDATE CIRCULAR-VALIDATION-INTEGRATED ============================================================ END OF ARTIFACT ============================================================