05_STACK_F/OPERA_F_ExecutionMechanism.md
Bytes: 52967 | SHA-256: 8b2953cf34edaa26ce549b27fcbfd7c97f573a5d0c45bdcd8eb26e15a3dc730c | Source: 05_STACK_F/OPERA_F_ExecutionMechanism.md
============================================================
OPERA F — EXECUTIO TABULAE
Ars Generalis Applied — Execution Layer (REGIMEN_F)
Version: 0.2.2-OPERA-F-TENET-D-SUPPORT
Status: PROPOSED / EXECUTION-KERNEL (PATCHED)
Scope: Runtime execution of admissible TABULA operations over ROTAS topology
Authority: AGLA / OPERA
Mutation Policy: VERSION-CONTROLLED ONLY
Class: OPERA
Regime: F
Depends-On:
- TENET D -- PRINCIPIA DUPLEX SUPPORT FOR A/T ARTICULATION
• TENET I -- MIXTURA CARRIER LAYER
• TENET F — TABULA GENERALIS
• ROTAS F — TABULA ROTUNDA
• AREPO F — ADMISSIO TABULAE
References:
• ALBUS — TABULA / FIGURA QUARTA PROJECTION
• CARCER — TABULA FAMILY DERIVATION PROCEDURE
• POPULUS — TABULA
• OPERA G — EVACUATIO
============================================================
<!-- LOCAL_SECTION_INDEX_START -->
## LOCAL SECTION INDEX
Scope: local anchors within this artifact only. No cross-artifact links are introduced here.
- [PURPOSE](#local-section-05-stack-f-opera-f-executionmechanism-purpose)
- [CORE FUNCTION](#local-section-05-stack-f-opera-f-executionmechanism-core-function)
- [I. RUNTIME ENTRY CONTRACT](#local-section-05-stack-f-opera-f-executionmechanism-i-runtime-entry-contract)
- [Input Object:](#local-section-05-stack-f-opera-f-executionmechanism-input-object)
- [Precondition:](#local-section-05-stack-f-opera-f-executionmechanism-precondition)
- [AREPO Gate:](#local-section-05-stack-f-opera-f-executionmechanism-arepo-gate)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary)
- [Failure Codes:](#local-section-05-stack-f-opera-f-executionmechanism-failure-codes)
- [II. EXECUTION MODES](#local-section-05-stack-f-opera-f-executionmechanism-ii-execution-modes)
- [Mode A — GENERATIVE](#local-section-05-stack-f-opera-f-executionmechanism-mode-a-generative)
- [Mode B — PREPROCESSED](#local-section-05-stack-f-opera-f-executionmechanism-mode-b-preprocessed)
- [Mode C — LOCUS_TRAVERSAL](#local-section-05-stack-f-opera-f-executionmechanism-mode-c-locus-traversal)
- [Equivalence Law:](#local-section-05-stack-f-opera-f-executionmechanism-equivalence-law)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure)
- [III. CORE EXECUTION PIPELINE](#local-section-05-stack-f-opera-f-executionmechanism-iii-core-execution-pipeline)
- [Pipeline (STRICT ORDER):](#local-section-05-stack-f-opera-f-executionmechanism-pipeline-strict-order)
- [Invariant:](#local-section-05-stack-f-opera-f-executionmechanism-invariant)
- [Interpretation:](#local-section-05-stack-f-opera-f-executionmechanism-interpretation)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-2)
- [IV. FAMILY GENERATION](#local-section-05-stack-f-opera-f-executionmechanism-iv-family-generation)
- [Function:](#local-section-05-stack-f-opera-f-executionmechanism-function)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-2)
- [Properties:](#local-section-05-stack-f-opera-f-executionmechanism-properties)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-2)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-3)
- [V. TYPOLOGY ENFORCEMENT](#local-section-05-stack-f-opera-f-executionmechanism-v-typology-enforcement)
- [Function:](#local-section-05-stack-f-opera-f-executionmechanism-function-2)
- [Rule:](#local-section-05-stack-f-opera-f-executionmechanism-rule)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-3)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-4)
- [VI. FULL CAMERA EXTRACTION](#local-section-05-stack-f-opera-f-executionmechanism-vi-full-camera-extraction)
- [Function:](#local-section-05-stack-f-opera-f-executionmechanism-function-3)
- [Invariant:](#local-section-05-stack-f-opera-f-executionmechanism-invariant-2)
- [Validation:](#local-section-05-stack-f-opera-f-executionmechanism-validation)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-4)
- [Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-boundary)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-5)
- [VII. SELECTION AND TARGETING](#local-section-05-stack-f-opera-f-executionmechanism-vii-selection-and-targeting)
- [Function:](#local-section-05-stack-f-opera-f-executionmechanism-function-4)
- [Selection Modes:](#local-section-05-stack-f-opera-f-executionmechanism-selection-modes)
- [FULL_FAMILY:](#local-section-05-stack-f-opera-f-executionmechanism-full-family)
- [CAMERA_SUBSET:](#local-section-05-stack-f-opera-f-executionmechanism-camera-subset)
- [SINGLE_CAMERA:](#local-section-05-stack-f-opera-f-executionmechanism-single-camera)
- [LOCUS_TRAVERSAL:](#local-section-05-stack-f-opera-f-executionmechanism-locus-traversal)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-5)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-3)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-6)
- [VIII. ROTAS TRAVERSAL EXECUTION](#local-section-05-stack-f-opera-f-executionmechanism-viii-rotas-traversal-execution)
- [Function:](#local-section-05-stack-f-opera-f-executionmechanism-function-5)
- [Execution Model:](#local-section-05-stack-f-opera-f-executionmechanism-execution-model)
- [Axis Definition:](#local-section-05-stack-f-opera-f-executionmechanism-axis-definition)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-6)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-4)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-7)
- [IX. RESULT OBJECT](#local-section-05-stack-f-opera-f-executionmechanism-ix-result-object)
- [Definition:](#local-section-05-stack-f-opera-f-executionmechanism-definition)
- [Properties:](#local-section-05-stack-f-opera-f-executionmechanism-properties-2)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-7)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-5)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-8)
- [X. TRACE GENERATION](#local-section-05-stack-f-opera-f-executionmechanism-x-trace-generation)
- [Principle:](#local-section-05-stack-f-opera-f-executionmechanism-principle)
- [Trace Components:](#local-section-05-stack-f-opera-f-executionmechanism-trace-components)
- [Properties:](#local-section-05-stack-f-opera-f-executionmechanism-properties-3)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-8)
- [OPERA Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-6)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-9)
- [XI. FAILURE PROPAGATION](#local-section-05-stack-f-opera-f-executionmechanism-xi-failure-propagation)
- [Principle:](#local-section-05-stack-f-opera-f-executionmechanism-principle-2)
- [Failure Sources:](#local-section-05-stack-f-opera-f-executionmechanism-failure-sources)
- [AREPO:](#local-section-05-stack-f-opera-f-executionmechanism-arepo)
- [CARCER:](#local-section-05-stack-f-opera-f-executionmechanism-carcer)
- [ROTAS:](#local-section-05-stack-f-opera-f-executionmechanism-rotas)
- [OPERA:](#local-section-05-stack-f-opera-f-executionmechanism-opera)
- [Propagation Rule:](#local-section-05-stack-f-opera-f-executionmechanism-propagation-rule)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-9)
- [Failure Codes:](#local-section-05-stack-f-opera-f-executionmechanism-failure-codes-2)
- [XII. PRECONDITION ENFORCEMENT](#local-section-05-stack-f-opera-f-executionmechanism-xii-precondition-enforcement)
- [Principle:](#local-section-05-stack-f-opera-f-executionmechanism-principle-3)
- [Formal Condition:](#local-section-05-stack-f-opera-f-executionmechanism-formal-condition)
- [Interpretation:](#local-section-05-stack-f-opera-f-executionmechanism-interpretation-2)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-10)
- [Boundary:](#local-section-05-stack-f-opera-f-executionmechanism-boundary-2)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-10)
- [XIII. ROTAS AND TENET BINDING](#local-section-05-stack-f-opera-f-executionmechanism-xiii-rotas-and-tenet-binding)
- [Binding Principles:](#local-section-05-stack-f-opera-f-executionmechanism-binding-principles)
- [TENET Binding:](#local-section-05-stack-f-opera-f-executionmechanism-tenet-binding)
- [ROTAS Binding:](#local-section-05-stack-f-opera-f-executionmechanism-rotas-binding)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-11)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-11)
- [XIV. EXECUTION VALIDITY CONDITION](#local-section-05-stack-f-opera-f-executionmechanism-xiv-execution-validity-condition)
- [Principle:](#local-section-05-stack-f-opera-f-executionmechanism-principle-4)
- [Formal Condition:](#local-section-05-stack-f-opera-f-executionmechanism-formal-condition-2)
- [Interpretation:](#local-section-05-stack-f-opera-f-executionmechanism-interpretation-3)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-12)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-12)
- [XV. FUNCTION](#local-section-05-stack-f-opera-f-executionmechanism-xv-function)
- [Role in AGLA Class Chain:](#local-section-05-stack-f-opera-f-executionmechanism-role-in-agla-class-chain)
- [TENET:](#local-section-05-stack-f-opera-f-executionmechanism-tenet)
- [ROTAS:](#local-section-05-stack-f-opera-f-executionmechanism-rotas-2)
- [AREPO:](#local-section-05-stack-f-opera-f-executionmechanism-arepo-2)
- [OPERA:](#local-section-05-stack-f-opera-f-executionmechanism-opera-2)
- [SATOR:](#local-section-05-stack-f-opera-f-executionmechanism-sator)
- [Constraint:](#local-section-05-stack-f-opera-f-executionmechanism-constraint-13)
- [Failure:](#local-section-05-stack-f-opera-f-executionmechanism-failure-13)
- [XVI. TENET I CARRIER CONSISTENCY REFERENCE](#local-section-05-stack-f-opera-f-executionmechanism-xvi-tenet-i-carrier-consistency-reference)
- [REFERENCE SCOPE](#local-section-05-stack-f-opera-f-executionmechanism-reference-scope)
- [CONSISTENCY CHECK](#local-section-05-stack-f-opera-f-executionmechanism-consistency-check)
- [NON-NORMALIZATION RULE](#local-section-05-stack-f-opera-f-executionmechanism-non-normalization-rule)
- [FAILURE](#local-section-05-stack-f-opera-f-executionmechanism-failure-14)
- [XVII. CLOSURE](#local-section-05-stack-f-opera-f-executionmechanism-xvii-closure)
- [Final Law:](#local-section-05-stack-f-opera-f-executionmechanism-final-law)
- [FINAL STATE](#local-section-05-stack-f-opera-f-executionmechanism-final-state)
<!-- LOCAL_SECTION_INDEX_END -->
END SECTION 0 — HEADER
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-purpose"></a>
PURPOSE
============================================================
This OPERA defines the execution kernel for TABULA
under REGIMEN_F.
It performs:
• execution of AREPO-admitted TABULA requests
• locus-based traversal over ROTAS-defined topology
• invocation of CARCER-defined family derivation where required
• preservation of family-entry typing during execution
• extraction or selection of executable TABULA structures
• assembly of structured, traceable execution output
------------------------------------------------------------
This OPERA requires:
- TENET D articulation support where TABULA execution uses both TENET A absolute principles and TENET T relative principles
• TENET I carrier identity, ordinal integrity, and mixture discipline where TABULA execution uses mixed A/T/E carriers
• TENET F invariants
• ROTAS F topology and locus binding
• AREPO F admissibility gate
• CARCER TABULA FAMILY DERIVATION PROCEDURE
• SATOR compatibility for later mediation
------------------------------------------------------------
This OPERA does NOT:
• redefine TABULA object identity (TENET / ALBUS)
• define admissibility (AREPO)
• define topology or traversal space (ROTAS)
• define mediation or symbolic interpretation (SATOR)
• generate interrogatives as REGIMEN_E / RQ execution
• perform relational evaluation (T)
• perform decision logic (D)
• perform multiplicative amplification (MULTIPLICATIO)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-core-function"></a>
CORE FUNCTION
------------------------------------------------------------
execute:
admitted_TABULA_request
→
ROTAS-bound traversal / CARCER-derived structure
→
traceable RESULT
under:
strict generation ancestry,
typing discipline,
locus discipline,
and invariant preservation.
============================================================
END SECTION — PURPOSE
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-i-runtime-entry-contract"></a>
I. RUNTIME ENTRY CONTRACT
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-input-object"></a>
Input Object:
------------------------------------------------------------
TABULA_REQUEST :=
{
origin_locus:
optional locus (h,l,t),
column:
optional triadic column (X,Y,Z),
traversal:
optional displacement (Δh, Δl, Δt),
mode:
GENERATIVE
OR
PREPROCESSED,
selection_mode:
FULL_FAMILY
OR
CAMERA_SUBSET
OR
SINGLE_CAMERA
OR
LOCUS_TRAVERSAL,
context:
optional execution context
}
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-precondition"></a>
Precondition:
------------------------------------------------------------
must_hold:
admitted_by(AREPO F)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-arepo-gate"></a>
AREPO Gate:
------------------------------------------------------------
AREPO F must already have established:
• invariant compliance
• topology consistency
• request completeness
• traceability possibility
• no regime contamination
• no A/T collapse
• no typing ambiguity
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must not:
• revalidate admissibility
• silently repair invalid requests
• infer missing loci
• infer missing traversal
• normalize malformed input
• override AREPO rejection
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-codes"></a>
Failure Codes:
------------------------------------------------------------
AREPO_REJECTED
INVALID_REQUEST_STRUCTURE
MISSING_EXECUTION_BINDING
UNSUPPORTED_SELECTION_MODE
============================================================
END SECTION I
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-ii-execution-modes"></a>
II. EXECUTION MODES
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-mode-a-generative"></a>
Mode A — GENERATIVE
------------------------------------------------------------
generate_or_derive(column):
invokes:
CARCER — TABULA FAMILY DERIVATION PROCEDURE
returns:
Family(column)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-mode-b-preprocessed"></a>
Mode B — PREPROCESSED
------------------------------------------------------------
load_preprocessed(column):
retrieves:
previously derived Family(column)
condition:
must be AREPO-admitted as structurally equivalent
to the CARCER derivation
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-mode-c-locus-traversal"></a>
Mode C — LOCUS_TRAVERSAL
------------------------------------------------------------
traverse(origin_locus, Δh, Δl, Δt):
operates over:
ROTAS F locus system
returns:
resulting_locus + trace
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-equivalence-law"></a>
Equivalence Law:
------------------------------------------------------------
GENERATIVE(column)
≡
PREPROCESSED(column)
only if:
• family cardinality is preserved
• family-entry typing is preserved
• ordering is preserved
• camera subset is preserved
• ROTAS binding is preserved
• traceability is preserved
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint"></a>
Constraint:
------------------------------------------------------------
OPERA may choose execution mode only within:
admitted request scope
and must not:
• redefine the family derivation
• redefine topology
• infer equivalence without AREPO admission
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure"></a>
Failure:
------------------------------------------------------------
MODE_MISMATCH
NON_EQUIVALENT_OUTPUT
CARCER_DERIVATION_UNAVAILABLE
PREPROCESSED_STRUCTURE_UNADMITTED
============================================================
END SECTION II
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-iii-core-execution-pipeline"></a>
III. CORE EXECUTION PIPELINE
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-pipeline-strict-order"></a>
Pipeline (STRICT ORDER):
------------------------------------------------------------
1. receive_admitted_request(request)
2. bind_execution_context(
TENET F,
ROTAS F,
AREPO F,
CARCER procedure
)
3. resolve_execution_mode(request.mode)
4. generate_or_load_family_if_required(request.column)
5. preserve_family_typology(family)
6. select_execution_target(
full family,
camera subset,
single camera,
or locus traversal
)
7. apply_ROTAS_traversal_if_required(
origin_locus,
Δh,
Δl,
Δt
)
8. assemble_RESULT(output)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-invariant"></a>
Invariant:
------------------------------------------------------------
No step may be:
• skipped
• reordered
• silently substituted
• partially executed without BLOCKED status
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-interpretation"></a>
Interpretation:
------------------------------------------------------------
This pipeline executes REGIMEN_F operations only.
It does not execute:
• REGIMEN_E / RQ interrogative generation
• REGIMEN_T relational evaluation
• REGIMEN_D decision procedures
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-2"></a>
Failure:
------------------------------------------------------------
PIPELINE_VIOLATION
PARTIAL_EXECUTION
MODE_RESOLUTION_FAILURE
TARGET_SELECTION_FAILURE
============================================================
END SECTION III
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-iv-family-generation"></a>
IV. FAMILY GENERATION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-function"></a>
Function:
------------------------------------------------------------
generate_family(column):
input:
(X, Y, Z)
procedure:
invoke CARCER — TABULA FAMILY DERIVATION PROCEDURE
output:
family[20]
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-2"></a>
Constraint:
------------------------------------------------------------
|family| = 20
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-properties"></a>
Properties:
------------------------------------------------------------
• derived strictly via CARCER law
• column-dependent
• ordered
• non-permutative
• typed (MARKER / FULL_CAMERA)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-2"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must:
• invoke CARCER
• not redefine derivation logic
• not alter ordered-pair sequence
• not alter suffix-set application
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-3"></a>
Failure:
------------------------------------------------------------
CARCER_INVOCATION_FAILURE
FAMILY_GENERATION_ERROR
CARDINALITY_ERROR
DERIVATION_MISMATCH
============================================================
END SECTION IV
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-v-typology-enforcement"></a>
V. TYPOLOGY ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-function-2"></a>
Function:
------------------------------------------------------------
preserve_family_typology(family):
for each entry e in family:
assert type(e) ∈ {MARKER, FULL_CAMERA}
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-rule"></a>
Rule:
------------------------------------------------------------
MARKER entries:
• act as structural anchors
• are not executable as cameras
• must not be used as traversal targets unless explicitly defined by ROTAS
FULL_CAMERA entries:
• must satisfy A A t T structure
• are eligible for selection and traversal
• preserve A/T separation invariant
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-3"></a>
Constraint:
------------------------------------------------------------
OPERA F must:
• preserve typing exactly as derived
• not reinterpret entry roles
• not promote MARKER to FULL_CAMERA
• not collapse typing distinctions
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-4"></a>
Failure:
------------------------------------------------------------
UNTYPED_ENTRY
TYPE_CORRUPTION
MARKER_CAMERA_CONFUSION
============================================================
END SECTION V
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-vi-full-camera-extraction"></a>
VI. FULL CAMERA EXTRACTION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-function-3"></a>
Function:
------------------------------------------------------------
extract_full_cameras(family):
cameras :=
{ e ∈ family | type(e) == FULL_CAMERA }
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-invariant-2"></a>
Invariant:
------------------------------------------------------------
cameras ⊂ family
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-validation"></a>
Validation:
------------------------------------------------------------
assert ∀ c ∈ cameras:
structure(c) == A A t T
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-4"></a>
Constraint:
------------------------------------------------------------
OPERA F must:
• extract without mutation
• preserve ordering
• preserve positional identity within family
• maintain traceability to source locus
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-boundary"></a>
Boundary:
------------------------------------------------------------
OPERA F does not:
• evaluate cameras
• interpret cameras
• derive interrogatives (REGIMEN_E / RQ)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-5"></a>
Failure:
------------------------------------------------------------
INVALID_CAMERA_STRUCTURE
EMPTY_CAMERA_SET
EXTRACTION_MISMATCH
============================================================
END SECTION VI
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-vii-selection-and-targeting"></a>
VII. SELECTION AND TARGETING
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-function-4"></a>
Function:
------------------------------------------------------------
select_execution_target(request, family, cameras):
returns:
• full family
• subset of cameras
• single camera
• locus-based target (via ROTAS)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-selection-modes"></a>
Selection Modes:
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-full-family"></a>
FULL_FAMILY:
return entire family structure
<a id="local-section-05-stack-f-opera-f-executionmechanism-camera-subset"></a>
CAMERA_SUBSET:
return subset(cameras)
<a id="local-section-05-stack-f-opera-f-executionmechanism-single-camera"></a>
SINGLE_CAMERA:
return one camera
<a id="local-section-05-stack-f-opera-f-executionmechanism-locus-traversal"></a>
LOCUS_TRAVERSAL:
operate on (origin_locus, Δh, Δl, Δt)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-5"></a>
Constraint:
------------------------------------------------------------
Selection must be:
• explicitly defined in request
• AREPO-admitted
• traceable to original family or locus
• consistent with ROTAS topology
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-3"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must not:
• infer implicit selection
• expand selection beyond request
• introduce new combinatory states
• bypass locus constraints
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-6"></a>
Failure:
------------------------------------------------------------
INVALID_SELECTION_MODE
UNRESOLVED_TARGET
SELECTION_OVERFLOW
TOPOLOGY_INCONSISTENT_SELECTION
============================================================
END SECTION VII
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-viii-rotas-traversal-execution"></a>
VIII. ROTAS TRAVERSAL EXECUTION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-function-5"></a>
Function:
------------------------------------------------------------
execute_traversal(origin_locus, Δh, Δl, Δt):
returns:
resulting_locus
traversal_trace
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-execution-model"></a>
Execution Model:
------------------------------------------------------------
Traversal is:
• locus-based
• axis-constrained
• stepwise
• deterministic
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-axis-definition"></a>
Axis Definition:
------------------------------------------------------------
Δh:
column displacement (heptadic driver)
Δl:
line displacement (hexadic axis)
Δt:
suffix displacement (triadic axis)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-6"></a>
Constraint:
------------------------------------------------------------
Traversal must:
• preserve axis separation
• respect cyclic closure
• follow ROTAS-defined adjacency
• avoid non-stepwise jumps
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-4"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must:
• execute traversal
OPERA F must not:
• redefine topology
• redefine adjacency rules
• collapse axes
• allow unordered movement
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-7"></a>
Failure:
------------------------------------------------------------
INVALID_ORIGIN_LOCUS
INVALID_DELTA
TOPOLOGY_VIOLATION
NON_STEPWISE_MOVEMENT
AXIS_COLLAPSE
============================================================
END SECTION VIII
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-ix-result-object"></a>
IX. RESULT OBJECT
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-definition"></a>
Definition:
------------------------------------------------------------
RESULT :=
{
origin_locus,
execution_mode,
selection_mode,
target:
• family
• camera_subset
• single_camera
• resulting_locus,
traversal_sequence:
optional list of locus transitions,
trace:
{
execution_chain,
CARCER_invocation (if any),
ROTAS_binding,
TENET_constraints_applied,
mode_resolution,
target_selection
},
status:
COMPLETED
OR
BLOCKED
}
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-properties-2"></a>
Properties:
------------------------------------------------------------
• deterministic
• ordered
• typed
• fully traceable
• reproducible
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-7"></a>
Constraint:
------------------------------------------------------------
RESULT must:
• preserve origin reference
• preserve structural lineage
• preserve typing
• preserve locus identity (if traversal occurs)
• include full trace
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-5"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must not:
• omit trace data
• compress execution history
• abstract structural lineage
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-8"></a>
Failure:
------------------------------------------------------------
RESULT_INCOMPLETE
TRACE_MISSING
STRUCTURE_LOSS
NON_REPRODUCIBLE_RESULT
============================================================
END SECTION IX
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-x-trace-generation"></a>
X. TRACE GENERATION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-principle"></a>
Principle:
------------------------------------------------------------
Every execution must produce
a complete, stepwise trace.
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-trace-components"></a>
Trace Components:
------------------------------------------------------------
trace :=
{
origin_state,
mode_resolution,
CARCER_steps (if invoked),
ROTAS_traversal_steps,
target_selection_steps,
resulting_state
}
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-properties-3"></a>
Properties:
------------------------------------------------------------
• ordered
• explicit
• non-compressed
• deterministic
• reconstructible
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-8"></a>
Constraint:
------------------------------------------------------------
Trace must:
• allow full reconstruction of execution
• preserve locus transitions explicitly
• preserve generation ancestry
• preserve binding references
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-boundary-6"></a>
OPERA Boundary:
------------------------------------------------------------
OPERA F must not:
• summarize trace
• omit intermediate steps
• collapse traversal sequences
• introduce inferred steps
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-9"></a>
Failure:
------------------------------------------------------------
TRACE_INCOMPLETE
TRACE_COMPRESSION
TRACE_INCONSISTENT
NON_RECONSTRUCTIBLE_TRACE
============================================================
END SECTION X
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xi-failure-propagation"></a>
XI. FAILURE PROPAGATION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-principle-2"></a>
Principle:
------------------------------------------------------------
All failures must be:
• explicit
• typed
• non-silent
• terminal (no implicit continuation)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-sources"></a>
Failure Sources:
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-arepo"></a>
AREPO:
• rejection propagated as BLOCKED
<a id="local-section-05-stack-f-opera-f-executionmechanism-carcer"></a>
CARCER:
• derivation failure
<a id="local-section-05-stack-f-opera-f-executionmechanism-rotas"></a>
ROTAS:
• topology violation
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera"></a>
OPERA:
• pipeline violation
• selection failure
• traversal failure
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-propagation-rule"></a>
Propagation Rule:
------------------------------------------------------------
If any failure occurs:
RESULT.status := BLOCKED
include:
failure_code
failure_origin
partial_trace (up to failure point)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-9"></a>
Constraint:
------------------------------------------------------------
OPERA F must not:
• attempt correction
• retry automatically
• substitute alternative paths
• normalize invalid states
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-codes-2"></a>
Failure Codes:
------------------------------------------------------------
AREPO_REJECTED
CARCER_FAILURE
ROTAS_VIOLATION
PIPELINE_VIOLATION
INVALID_SELECTION_MODE
INVALID_DELTA
TRACE_FAILURE
============================================================
END SECTION XI
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xii-precondition-enforcement"></a>
XII. PRECONDITION ENFORCEMENT
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-principle-3"></a>
Principle:
------------------------------------------------------------
Execution is permitted only if:
admitted_by(AREPO F)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-formal-condition"></a>
Formal Condition:
------------------------------------------------------------
execute(request) is allowed ⇔
admitted_by_AREPO(request)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-interpretation-2"></a>
Interpretation:
------------------------------------------------------------
OPERA F trusts:
• AREPO F for admissibility
• TENET F for invariants
• ROTAS F for topology
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-10"></a>
Constraint:
------------------------------------------------------------
OPERA F must:
• refuse execution if admission is absent
• not re-evaluate admissibility
• not infer admissibility
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-boundary-2"></a>
Boundary:
------------------------------------------------------------
AREPO rejection must:
• terminate execution immediately
• produce RESULT.status = BLOCKED
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-10"></a>
Failure:
------------------------------------------------------------
EXECUTION_WITHOUT_ADMISSION
AREPO_BYPASS
PRECONDITION_VIOLATION
============================================================
END SECTION XII
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xiii-rotas-and-tenet-binding"></a>
XIII. ROTAS AND TENET BINDING
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-binding-principles"></a>
Binding Principles:
------------------------------------------------------------
OPERA F operates:
under TENET F
through ROTAS F
after AREPO F
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-tenet-binding"></a>
TENET Binding:
------------------------------------------------------------
OPERA F must preserve:
• A/T separation
• non-permutation
• multiplicatio constraint
• structural traceability
• regime isolation
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-rotas-binding"></a>
ROTAS Binding:
------------------------------------------------------------
OPERA F must:
• operate strictly over defined loci
• respect cyclic closure
• respect adjacency rules
• preserve axis separation (h, l, t)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-11"></a>
Constraint:
------------------------------------------------------------
OPERA F must not:
• alter invariant structure (TENET)
• alter topology (ROTAS)
• introduce new combinatory states
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-11"></a>
Failure:
------------------------------------------------------------
TENET_VIOLATION
ROTAS_INCOMPATIBILITY
STRUCTURAL_DRIFT
AXIS_VIOLATION
============================================================
END SECTION XIII
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xiv-execution-validity-condition"></a>
XIV. EXECUTION VALIDITY CONDITION
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-principle-4"></a>
Principle:
------------------------------------------------------------
Execution validity in OPERA F is defined
only as successful, invariant-preserving execution
of an AREPO-admitted request.
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-formal-condition-2"></a>
Formal Condition:
------------------------------------------------------------
valid_execution(request, RESULT) ⇔
admitted_by_AREPO(request)
∧ execution_completed(RESULT)
∧ invariant_preservation(TENET F)
∧ topology_preservation(ROTAS F)
∧ full_traceability(RESULT)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-interpretation-3"></a>
Interpretation:
------------------------------------------------------------
OPERA F defines:
• execution correctness (process-level)
OPERA F does NOT define:
• structural validity (TENET)
• admissibility (AREPO)
• topology correctness (ROTAS)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-12"></a>
Constraint:
------------------------------------------------------------
Execution must:
• preserve generation ancestry
• preserve locus identity
• preserve typing
• preserve order
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-12"></a>
Failure:
------------------------------------------------------------
EXECUTION_INVALID
INVARIANT_VIOLATION
TOPOLOGY_VIOLATION
TRACEABILITY_BREAK
============================================================
END SECTION XIV
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xv-function"></a>
XV. FUNCTION
============================================================
OPERA F governs:
• execution of admissible TABULA operations
• invocation of CARCER-derived structures
• locus-based traversal over ROTAS topology
• selection and extraction of TABULA elements
• generation of deterministic RESULT objects
• full execution trace production
------------------------------------------------------------
OPERA F is:
• execution-only
• deterministic
• typed
• ordered
• trace-complete
------------------------------------------------------------
OPERA F is NOT:
• an admissibility layer (AREPO)
• a topology definition layer (ROTAS)
• an invariant-definition layer (TENET)
• an interpretative layer (SATOR)
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-role-in-agla-class-chain"></a>
Role in AGLA Class Chain:
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-tenet"></a>
TENET:
defines invariants
<a id="local-section-05-stack-f-opera-f-executionmechanism-rotas-2"></a>
ROTAS:
defines topology
<a id="local-section-05-stack-f-opera-f-executionmechanism-arepo-2"></a>
AREPO:
defines admissibility
<a id="local-section-05-stack-f-opera-f-executionmechanism-opera-2"></a>
OPERA:
executes
<a id="local-section-05-stack-f-opera-f-executionmechanism-sator"></a>
SATOR:
mediates
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-constraint-13"></a>
Constraint:
------------------------------------------------------------
OPERA F must remain:
• non-validating
• non-topological
• non-interpretative
• non-generative outside CARCER invocation
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-13"></a>
Failure:
------------------------------------------------------------
CLASS_BOUNDARY_VIOLATION
EXECUTION_LEAK
INTERPRETATION_LEAK
============================================================
END SECTION XV
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xvi-tenet-i-carrier-consistency-reference"></a>
XVI. TENET I CARRIER CONSISTENCY REFERENCE
============================================================
OPERA F must respect TENET I when TABULA execution touches
MIXTURA carrier surfaces.
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-reference-scope"></a>
REFERENCE SCOPE
------------------------------------------------------------
TENET I is referenced only for:
• full token presence
• carrier identity
• ordinal integrity
• regime distinction across A / T / E carriers
• prohibition of identity by numeric value alone
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-consistency-check"></a>
CONSISTENCY CHECK
------------------------------------------------------------
TABULA execution must not:
• infer identity from partial token
• collapse A / T / E carrier ranges
• treat numeric coincidence as identity
• lose locus-to-carrier traceability
• replace K with K1 or K2 in combinatory operations
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-non-normalization-rule"></a>
NON-NORMALIZATION RULE
------------------------------------------------------------
This reference does not normalize TABULA, ROTAS F, or CARCER
content into TENET I.
It binds OPERA F execution to TENET I carrier discipline only
where mixed-carrier execution is present.
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-failure-14"></a>
FAILURE
------------------------------------------------------------
TENET_I_REFERENCE_MISSING
MIXTURA_TOKEN_INCOMPLETE
MIXTURA_ORDINAL_DRIFT
MIXTURA_REGIME_COLLAPSE
MIXTURA_NUMERIC_IDENTITY_ERROR
============================================================
END SECTION XVI
============================================================
============================================================
<a id="local-section-05-stack-f-opera-f-executionmechanism-xvii-closure"></a>
XVII. CLOSURE
============================================================
TABULA, at OPERA level, is:
• executable
• bounded
• locus-structured
• traceable
• invariant-constrained
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-final-law"></a>
Final Law:
------------------------------------------------------------
OPERA F executes:
admitted requests,
over ROTAS-defined topology,
under TENET invariants,
via CARCER-derived structure,
producing fully reconstructible RESULT objects.
------------------------------------------------------------
Execution must always be:
• deterministic
• ordered
• traceable
• structurally faithful
------------------------------------------------------------
It must never be treated as:
• heuristic execution
• symbolic interpretation
• autonomous reasoning
• free combinatory engine
------------------------------------------------------------
<a id="local-section-05-stack-f-opera-f-executionmechanism-final-state"></a>
FINAL STATE
------------------------------------------------------------
PROPOSED / EXECUTION-KERNEL (PATCHED)
============================================================
END OPERA F — EXECUTIO TABULAE
============================================================