09_STACK_H/AREPO_H_InputAdmissibility.md

Page Sections

Version: 0.1.0-AREPO-H-MULTIPLICATIO line 4
Status: DRAFT / LOCAL CONTROL PLANE line 5
Scope: admissibility gating for OPERA H execution under TENET dispatch line 6
Authority: AGLA / AREPO (LOCAL CONTROL PLANE) line 7
Class: AREPO line 8
Regime: H (MULTIPLICATIO) line 9
Depends-On: line 10
## LOCAL SECTION INDEX line 21
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 23
I. PURPOSE line 71
Define admissibility conditions for: line 75
AREPO H establishes: line 82
CORE ASSERTION line 94
No multiplicatio may execute unless: line 98
AREPO H is: line 108
AREPO H is NOT: line 115
END SECTION I line 123
II. ADMISSIBILITY CONDITIONS line 130
Execution of OPERA H is admissible iff: line 134
1. TENET RESOLUTION line 140
2. ELEMENT SET CONSISTENCY line 161
3. CHAMBER VALIDITY line 183
4. CONFIGURATION VALIDITY line 198
5. MODE ADMISSIBILITY line 212
RULE line 226
All conditions must be satisfied simultaneously. line 229
FAILURE line 235
tenet_unresolved line 238
element_set_invalid line 239
chamber_invalid line 240
configuration_invalid line 241
mode_invalid line 242
END SECTION II line 245
III. TENET-BOUND ADMISSIBILITY line 252
Admissibility is constrained by: line 256
TENET A line 264
Admits: line 268
Rejects: line 274
TENET T line 282
Admits: line 286
Rejects: line 292
TENET D line 300
Admits: line 304
Rejects: line 310
TENET I line 318
Admits: line 322
RULE line 331
Presence of E-elements: line 335
CONSTRAINT line 343
No configuration may: line 347
FAILURE line 357
tenet_domain_violation line 360
operator_misclassification line 361
dispatch_conflict line 362
END SECTION III line 365
IV. CONFIGURATION & TABULA GATING line 372
Configuration admissibility depends on: line 376
MODEL-GUIDED CONFIGURATION line 384
Admissible iff: line 388
EXPLICIT ROTA CONFIGURATION line 398
Admissible iff: line 402
TABULA PRESET CONFIGURATION line 412
Admissible iff: line 416
PROHIBITION line 426
OPERA H must NOT: line 430
RULE line 439
TABULA context must be: line 443
FAILURE line 451
tabula_missing line 454
preset_ambiguous line 455
implicit_tabula_derivation line 456
rota_unregistered line 457
END SECTION IV line 460
V. BLOCKING & FAILURE LAW line 467
If any admissibility condition fails: line 471
BLOCK RESPONSE FORMAT line 479
FAILURE TYPES line 495
TENET FAILURES: line 500
INPUT FAILURES: line 510
CONFIGURATION FAILURES: line 520

============================================================ AREPO H — ADMISSIBILITAS MULTIPLICATIONIS Ars Generalis Applied — Admissibility Law for Figura Quarta Version: 0.1.0-AREPO-H-MULTIPLICATIO Status: DRAFT / LOCAL CONTROL PLANE Scope: admissibility gating for OPERA H execution under TENET dispatch Authority: AGLA / AREPO (LOCAL CONTROL PLANE) Class: AREPO Regime: H (MULTIPLICATIO) Depends-On: • TENET — REGIMEN DISPATCH LAW • TENET A / T / D / I • ROTAS D — OCTO ROTAE FIGURAE QUARTAE • OPERA H — MULTIPLICATIO FIGURAE QUARTAE ============================================================  ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [I. PURPOSE](#local-section-09-stack-h-arepo-h-inputadmissibility-i-purpose) - [CORE ASSERTION](#local-section-09-stack-h-arepo-h-inputadmissibility-core-assertion) - [II. ADMISSIBILITY CONDITIONS](#local-section-09-stack-h-arepo-h-inputadmissibility-ii-admissibility-conditions) - [1. TENET RESOLUTION](#local-section-09-stack-h-arepo-h-inputadmissibility-1-tenet-resolution) - [AND:](#local-section-09-stack-h-arepo-h-inputadmissibility-and) - [2. ELEMENT SET CONSISTENCY](#local-section-09-stack-h-arepo-h-inputadmissibility-2-element-set-consistency) - [DOMAIN MATCH:](#local-section-09-stack-h-arepo-h-inputadmissibility-domain-match) - [3. CHAMBER VALIDITY](#local-section-09-stack-h-arepo-h-inputadmissibility-3-chamber-validity) - [4. CONFIGURATION VALIDITY](#local-section-09-stack-h-arepo-h-inputadmissibility-4-configuration-validity) - [5. MODE ADMISSIBILITY](#local-section-09-stack-h-arepo-h-inputadmissibility-5-mode-admissibility) - [RULE](#local-section-09-stack-h-arepo-h-inputadmissibility-rule) - [FAILURE](#local-section-09-stack-h-arepo-h-inputadmissibility-failure) - [III. TENET-BOUND ADMISSIBILITY](#local-section-09-stack-h-arepo-h-inputadmissibility-iii-tenet-bound-admissibility) - [TENET A](#local-section-09-stack-h-arepo-h-inputadmissibility-tenet-a) - [TENET T](#local-section-09-stack-h-arepo-h-inputadmissibility-tenet-t) - [TENET D](#local-section-09-stack-h-arepo-h-inputadmissibility-tenet-d) - [TENET I](#local-section-09-stack-h-arepo-h-inputadmissibility-tenet-i) - [RULE](#local-section-09-stack-h-arepo-h-inputadmissibility-rule-2) - [CONSTRAINT](#local-section-09-stack-h-arepo-h-inputadmissibility-constraint) - [FAILURE](#local-section-09-stack-h-arepo-h-inputadmissibility-failure-2) - [IV. CONFIGURATION & TABULA GATING](#local-section-09-stack-h-arepo-h-inputadmissibility-iv-configuration-tabula-gating) - [MODEL-GUIDED CONFIGURATION](#local-section-09-stack-h-arepo-h-inputadmissibility-model-guided-configuration) - [EXPLICIT ROTA CONFIGURATION](#local-section-09-stack-h-arepo-h-inputadmissibility-explicit-rota-configuration) - [TABULA PRESET CONFIGURATION](#local-section-09-stack-h-arepo-h-inputadmissibility-tabula-preset-configuration) - [PROHIBITION](#local-section-09-stack-h-arepo-h-inputadmissibility-prohibition) - [RULE](#local-section-09-stack-h-arepo-h-inputadmissibility-rule-3) - [FAILURE](#local-section-09-stack-h-arepo-h-inputadmissibility-failure-3) - [V. BLOCKING & FAILURE LAW](#local-section-09-stack-h-arepo-h-inputadmissibility-v-blocking-failure-law) - [BLOCK RESPONSE FORMAT](#local-section-09-stack-h-arepo-h-inputadmissibility-block-response-format) - [FAILURE TYPES](#local-section-09-stack-h-arepo-h-inputadmissibility-failure-types) - [TENET FAILURES:](#local-section-09-stack-h-arepo-h-inputadmissibility-tenet-failures) - [INPUT FAILURES:](#local-section-09-stack-h-arepo-h-inputadmissibility-input-failures) - [CONFIGURATION FAILURES:](#local-section-09-stack-h-arepo-h-inputadmissibility-configuration-failures) - [TABULA FAILURES:](#local-section-09-stack-h-arepo-h-inputadmissibility-tabula-failures) - [MODE FAILURES:](#local-section-09-stack-h-arepo-h-inputadmissibility-mode-failures) - [RULE](#local-section-09-stack-h-arepo-h-inputadmissibility-rule-4) - [FINAL LAW](#local-section-09-stack-h-arepo-h-inputadmissibility-final-law)  END SECTION 0 — HEADER ============================================================ ============================================================ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-i-purpose"></a> I. PURPOSE ============================================================ Define admissibility conditions for: OPERA H — MULTIPLICATIO FIGURAE QUARTAE ------------------------------------------------------------ AREPO H establishes: • when multiplicatio may execute • which inputs are admissible • which configurations are valid • which TENET anchors are allowed • when execution must be blocked ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-core-assertion"></a> CORE ASSERTION ------------------------------------------------------------ No multiplicatio may execute unless: • TENET is resolved • configuration is admissible • chamber structure is valid • execution context is non-ambiguous ------------------------------------------------------------ AREPO H is: gating layer for multiplicatio ------------------------------------------------------------ AREPO H is NOT: • execution (OPERA) • structure (ROTAS) • doctrine (TENET) • mediation (SATOR) ============================================================ END SECTION I ============================================================ ============================================================ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-ii-admissibility-conditions"></a> II. ADMISSIBILITY CONDITIONS ============================================================ Execution of OPERA H is admissible iff: ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-1-tenet-resolution"></a> 1. TENET RESOLUTION ------------------------------------------------------------ selected_tenet must be: • explicitly declared OR • derivable under TENET DISPATCH LAW <a id="local-section-09-stack-h-arepo-h-inputadmissibility-and"></a> AND: • non-ambiguous • context-consistent ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-2-element-set-consistency"></a> 2. ELEMENT SET CONSISTENCY ------------------------------------------------------------ element_set must: • be explicit OR derivable • match selected_tenet domain <a id="local-section-09-stack-h-arepo-h-inputadmissibility-domain-match"></a> DOMAIN MATCH: TENET A → A only TENET T → T only TENET D → A ∪ T TENET I → A ∪ T ∪ E ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-3-chamber-validity"></a> 3. CHAMBER VALIDITY ------------------------------------------------------------ each chamber must: • belong to a declared ROTA • define W1, W2, W3 • include ordinal slots • preserve carrier typing ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-4-configuration-validity"></a> 4. CONFIGURATION VALIDITY ------------------------------------------------------------ configuration selection must: • respect selected_tenet • avoid cross-domain contamination • preserve ROTA identity ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-5-mode-admissibility"></a> 5. MODE ADMISSIBILITY ------------------------------------------------------------ multiplicatio_mode must be: • declared OR defaulted • compatible with chamber structure • TENET-consistent ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-rule"></a> RULE ------------------------------------------------------------ All conditions must be satisfied simultaneously. ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-failure"></a> FAILURE ------------------------------------------------------------ tenet_unresolved element_set_invalid chamber_invalid configuration_invalid mode_invalid ============================================================ END SECTION II ============================================================ ============================================================ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-iii-tenet-bound-admissibility"></a> III. TENET-BOUND ADMISSIBILITY ============================================================ Admissibility is constrained by: selected_tenet ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tenet-a"></a> TENET A ------------------------------------------------------------ Admits: • A-only chambers • A-only configurations Rejects: • any T or E presence ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tenet-t"></a> TENET T ------------------------------------------------------------ Admits: • T-only chambers • T-only configurations Rejects: • any A or E presence ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tenet-d"></a> TENET D ------------------------------------------------------------ Admits: • A + T combinations • principial interactions Rejects: • any E-element presence ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tenet-i"></a> TENET I ------------------------------------------------------------ Admits: • A + T + E mixtures • operator-influenced configurations ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-rule-2"></a> RULE ------------------------------------------------------------ Presence of E-elements: forces TENET I admissibility ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-constraint"></a> CONSTRAINT ------------------------------------------------------------ No configuration may: • exceed TENET domain • introduce foreign carriers • violate dispatch law ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-failure-2"></a> FAILURE ------------------------------------------------------------ tenet_domain_violation operator_misclassification dispatch_conflict ============================================================ END SECTION III ============================================================ ============================================================ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-iv-configuration-tabula-gating"></a> IV. CONFIGURATION & TABULA GATING ============================================================ Configuration admissibility depends on: selection source ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-model-guided-configuration"></a> MODEL-GUIDED CONFIGURATION ------------------------------------------------------------ Admissible iff: • selection respects TENET domain • configuration is non-redundant (unless allowed) • selection trace is present ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-explicit-rota-configuration"></a> EXPLICIT ROTA CONFIGURATION ------------------------------------------------------------ Admissible iff: • rota exists in ROTAS registry • rota is TENET-compatible • no implicit substitution occurs ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tabula-preset-configuration"></a> TABULA PRESET CONFIGURATION ------------------------------------------------------------ Admissible iff: • TABULA is preloaded via OPERA F • preset identity is explicit • configuration subset is valid ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-prohibition"></a> PROHIBITION ------------------------------------------------------------ OPERA H must NOT: • derive TABULA internally • simulate TABULA implicitly ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-rule-3"></a> RULE ------------------------------------------------------------ TABULA context must be: explicitly declared ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-failure-3"></a> FAILURE ------------------------------------------------------------ tabula_missing preset_ambiguous implicit_tabula_derivation rota_unregistered ============================================================ END SECTION IV ============================================================ ============================================================ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-v-blocking-failure-law"></a> V. BLOCKING & FAILURE LAW ============================================================ If any admissibility condition fails: execution := BLOCKED ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-block-response-format"></a> BLOCK RESPONSE FORMAT ------------------------------------------------------------ AREPO_H_BLOCK := { status: BLOCKED, failure_type: [...], missing_conditions: [...], required_action: [...], tenet_context: selected_tenet } ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-failure-types"></a> FAILURE TYPES ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tenet-failures"></a> TENET FAILURES: • TENET_UNRESOLVED • REGIMEN_AMBIGUITY • TENET_DOMAIN_VIOLATION ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-input-failures"></a> INPUT FAILURES: • ELEMENT_SET_MISSING • CHAMBER_INVALID • ORDINAL_MISSING ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-configuration-failures"></a> CONFIGURATION FAILURES: • ROTA_INVALID • CONFIGURATION_INVALID • EXPLICIT_ROTA_CONFLICT ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-tabula-failures"></a> TABULA FAILURES: • TABULA_PRELOAD_MISSING • PRESET_UNAVAILABLE • OPERA_F_BYPASS ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-mode-failures"></a> MODE FAILURES: • MODE_INVALID • MODE_TENET_CONFLICT ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-rule-4"></a> RULE ------------------------------------------------------------ All failures must be: • explicit • typed • non-silent ------------------------------------------------------------ <a id="local-section-09-stack-h-arepo-h-inputadmissibility-final-law"></a> FINAL LAW ------------------------------------------------------------ No OPERA H execution may proceed unless: admissibility = TRUE ============================================================ END AREPO H — ADMISSIBILITAS MULTIPLICATIONIS ============================================================