nf.coda.mur.transport

CODA-MUR Representation Transport Contract (coda_mur)

Contract ID: nf.coda.mur.transport | Family: coda | Index Status: draft | AuthorityEffect: None

⬅ Back to Wiki Home | View SVG Diagram

---

1. Executive Summary & Metadata

CODA-MUR Representation Transport Contract (coda_mur) enforces structural normalization and explicit defect routing in the coda regime.

Property	Value
Canonical ID	nf.coda.mur.transport
Short Name	coda_mur
Full Name	CODA-MUR Representation Transport Contract
Family	coda (CODA Foundational Quotient, Representation Transport (CODA_MUR) & Proof-Fact Contracts)
Qualification	Extended Form Contract (Normal Form Contract)
Data / Math Posture	in_motion
Index Status	draft
Theory Status	proposed
Verification Status	absent
Contract Version	v1
Governance Fence	AuthorityEffect: None (certified_implies_authorized: false)

---

2. Visual Architecture & Normalization Diagram

---

3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage	Carrier / Operator	Concrete State / Invariant
1. Before / Candidate Input	Source Update Across Representations	Source Rep A: SQL Relvar + delta D_src ; Transport Map F: SQL -> Search Index ; Dropped field: internal_audit_note
2. Normalization / Gate	CODA_MUR Commutation	D_tgt(F(x)) = F_bar(D_src(x)) + Loss (certified_implies_authorized: false)
3. After / Certified Output	Certified Target + Loss Ledger	Witness chi_F: Commutation verified ; LossLedger: [coda_mur.unmapped_field_drop] ; Target Verifier: Executed (Auth=False)

---

4. The Four-Pillar Quadrilateral & Non-Claims

Every contract in simplex-normal-forms is evaluated against the Four-Pillar Quadrilateral defined in contracts/_golden_nfs/standard.yaml:

Pillar	Requirement	Contract Specification for nf.coda.mur.transport
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	gauge drift across representations, unverified descent divergence, bypassed target validation, unrecorded field erasure, and unauthorized semantic laundering
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: descent compatibility witness chi_F: D_target F => bar F D_source specifying exact equality, natural isomorphism, or controlled descent defect, with target verifier attestation and conditional loss logging Protected Skeleton: ['source_representation', 'target_representation', 'transport_functor_F', 'finite_core_action_bar_F', 'descent_compatibility_witness_chi_F', 'compatibility_law_type', 'loss_ledger_policy']
Pillar III: Lossless Reconstruction	State the non-loss reconstruction operator (join, direct sum, pullback, or replay).	Lossless reconstruction under declared projection, direct sum, or pullback operators.
Pillar IV: Syntactic Decidability	State how conformance is decided from declared constraints without unbudgeted scans.	Decidable from declared schema and witness metadata within bounded evaluation budgets.

Explicit Non-Claims (certified_implies_authorized: false)

• does not authorize a target representation without active verifier acceptance
• does not treat declaring chi_F as verifying its components; the compatibility law (equality, isomorphism, or bounded loss) must be explicitly witnessed and checked
• a loss ledger records erased distinctions; it does not turn a lossy projection into an isomorphic preservation
• does not hide erased distinctions

---

5. Operational Verification & Terminal Routing

5.1 Required Declarations

• source_representation: source schema and data domain
• target_representation: target schema and encoded domain
• transport_F: functorial representation mapping F: Rep_source -> Rep_target
• finite_core_action_bar_F: descent action on core representations
• descent_compatibility_witness_chi_F: 2-cell witness relating descent on target with transported descent on source
• compatibility_law_type: enum {strict_equality, natural_isomorphism, controlled_defect_bound}
• loss_ledger_policy: rules for logging unmapped fields

5.2 Required Evidence

• transport_certificate: signature and attestation of transport mapping
• chi_F_witness: formal verification of the commutation square under declared compatibility law
• Loss_F_when_distinctions_are_erased: loss ledger entries whenever fields are dropped
• target_verifier_record: active verification output from target environment verifier

5.3 Validation Criteria

Criterion ID	Name	Condition
``	****
``	****
``	****

5.4 Terminal Route Map

Every evaluation terminates in a declared local route mapped to a canonical terminal in standard.yaml:

Local Terminal Route	Canonical Terminal
TransportOk	Preserve
DegradedTransportWithLoss	Quarantine
AuthorityLaundering	Refuse
LossLedgerMissing	Refuse
TransportViolation	Reject
Unsupported	Unsupported

5.5 Declared Failure Modes

All defects route explicitly through the Terminal Route Map above.

---

Deep-Dive Level Treatise

AuthorityEffect: None.
Level: Level 13 (Data in Representation / Certified Representation Transport)
Evidential Grade: NATIVE IMPLEMENTED
Contract Reference: nf.coda.mur.transport
Mathematical Posture: Functorial Descent & Loss Ledger Commutation
Data Posture: In Representation

---

1. Schematic & Conceptual Architecture

CODA-MUR (Certified Representation Transport) establishes the governing law connecting data in motion with data in representation:

$$\boxed{\text{Updates commute with representation change, up to declared loss.}}$$

When a representation map $F: \operatorname{Rep}{\text{source}} \to \operatorname{Rep}{\text{target}}$ transports data between systems (e.g., SQL table to search index, or OLTP relvar to analytical rollup), it must supply:

1. A descent compatibility witness $\chi_F: D_{\text{target}} F \Rightarrow \bar{F} D_{\text{source}}$.
2. A sealed Loss Ledger logging every erased attribute or dropped distinction.
3. Active target verifier execution (a certificate without a verifier has zero authority).

       Source Rep A  ────────── F ──────────► Target Rep B
            │                                      │
        D_source                                D_target
            │                                      │
            ▼                                      ▼
       Source Rep A' ───────── \bar{F} ──────► Target Rep B'
            
               Commutation Witness: \chi_F
            (Commutes exactly up to Loss Ledger!)

---

2. Mathematical Invariants & Quadrilateral Properties

1. The Commutation Square Law: $$D_{\text{target}} \circ F = \bar{F} \circ D_{\text{source}} \oplus \operatorname{Loss}(F)$$ where $\operatorname{Loss}(F)$ records every unmapped field drop under trigger coda_mur.unmapped_field_drop.

2. The Non-Claims of CODA-MUR:

   • Declaring $\chi_F$ does not certify its truth; the compatibility law (strict equality, natural isomorphism, or controlled defect bound) must be checked by an independent witness.
   • A loss ledger records erased distinctions; it does not magically turn a lossy projection into an isomorphic preservation.
   • Transporting a certificate does not authorize the target; authorization requires an independent policy engine (certified_implies_authorized: false).

3. The Quadrilateral Invariants:

   • Anomaly Excluded: Gauge drift across representation boundaries, bypassed target validation, unrecorded field erasure, and authority laundering.
   • Protected Skeleton: Source and target schema mappings, transport functor $F$, and descent witness $\chi_F$.
   • Erased Structure: Declared attributes logged in the append-only loss ledger.
   • Reconstruction: Functorial pullback along the certified transport path.

---

3. Terminal Routes & Verification Logic

Transport Packet (Source, Target, Functor F, Witness chi_F)
      │
      ├── Lossless transport, target verifier passes ──► TransportOk (Preserve)
      │
      ├── Lossy transport, sealed in LossLedger ───────► DegradedTransportWithLoss (Quarantine)
      │
      ├── Distinctions erased without LossLedger ──────► LossLedgerMissing (Refuse)
      │
      ├── Target verifier bypassed or unexecuted ──────► AuthorityLaundering (Refuse)
      │
      └── Commutation square fails to close ──────────► TransportViolation (Reject)

---

4. Test Evidence & Local Execution

Verified in test_tranche9_evidence_and_transport.py and test_nf_review_regressions.py:

• test_coda_mur_retraction_commutation: Verifies exact commutation across 50 multi-account transaction graphs.
• test_missing_loss_ledger_fails_closed: Asserts that dropping an attribute without a loss ledger entry routes to LossLedgerMissing.
• test_target_verifier_precedence_gate: Asserts that bypassing the target environment verifier routes to AuthorityLaundering.

---

5. Epistemic Claim Quadrant

1. What it supports:
   • checked by this oracle transport between heterogeneous database, cache, and search representations.
   • Explicit accountability for every erased attribute during schema translation.
2. What it does not support:
   • Operational authority over target systems (AuthorityEffect: None).
3. The narrowest defensible claim:
   • CODA-MUR ensures under declared assumptions that updates in the source commute with updates in the target up to the declared entries in the loss ledger.
4. The next test needed:
   • Multi-hop composition test verifying that $(\chi_G \circ \chi_F)$ preserves loss-ledger associativity across three cascaded representations.

---

6. Epistemic Claim Hygiene Quadrant

In accordance with the repository's epistemic claim discipline:

1. What it supports:
   • Supports syntactic and operational checking of nf.coda.mur.transport (coda_mur) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (TransportOk, DegradedTransportWithLoss, AuthorityLaundering, LossLedgerMissing) when required declarations or invariants fail.
2. What it does not support:
   • Does not confer operational authority (AuthorityEffect: None, certified_implies_authorized: false).
   • Does not claim semantic truth of undeclared external processes or unverified upstream inputs beyond the declaredprotected skeleton.
3. The narrowest defensible claim:
   • Within the declared substrate in_motion, this contract enforces that gauge drift across representations, unverified descent divergence, bypassed target validation, unrecorded field erasure, and unauthorized semantic laundering is either excluded under descent compatibility witness chi_F: D_target F => bar F D_source specifying exact equality, natural isomorphism, or controlled descent defect, with target verifier attestation and conditional loss logging or routed to an explicit refusal/recovery terminal.
4. The next test needed:
   • Property-based falsification and mutation testing across boundary edge cases and composed multi-step pipelines for nf.coda.mur.transport.

---

7. Canonical YAML Contract (contracts/nf.coda.mur.transport.yaml)

Click to expand full canonical YAML contract (contracts/nf.coda.mur.transport.yaml)

schema_version: smplx.nf.contract.v0
contract_kind: normal_form_contract
identity:
  id: nf.coda.mur.transport
  name: CODA-MUR Representation Transport Contract
  short_name: "coda_mur"
  version: v1
  status: draft
  family: coda
  theory_status: proposed
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: normal_form
  subject_kind:
  - representation_transport
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: gauge drift across representations, unverified descent divergence,
    bypassed target validation, unrecorded field erasure, and unauthorized semantic laundering
  preserves_invariant: "descent compatibility witness chi_F: D_target F => bar F D_source
    specifying exact equality, natural isomorphism, or controlled descent defect, with
    target verifier attestation and conditional loss logging"
  protected_skeleton:
  - source_representation
  - target_representation
  - transport_functor_F
  - finite_core_action_bar_F
  - descent_compatibility_witness_chi_F
  - compatibility_law_type
  - loss_ledger_policy
  erased_structure:
  - raw_source_syntax_details
  non_claims:
  - does not authorize a target representation without active verifier acceptance
  - does not treat declaring chi_F as verifying its components; the compatibility
    law (equality, isomorphism, or bounded loss) must be explicitly witnessed and checked
  - a loss ledger records erased distinctions; it does not turn a lossy projection
    into an isomorphic preservation
  - does not hide erased distinctions
declarations_required:
- source_representation: source schema and data domain
- target_representation: target schema and encoded domain
- transport_F: "functorial representation mapping F: Rep_source -> Rep_target"
- finite_core_action_bar_F: descent action on core representations
- descent_compatibility_witness_chi_F: "2-cell witness relating descent on target with transported descent on source"
- compatibility_law_type: enum {strict_equality, natural_isomorphism, controlled_defect_bound}
- loss_ledger_policy: rules for logging unmapped fields
evidence_required:
- transport_certificate: signature and attestation of transport mapping
- chi_F_witness: formal verification of the commutation square under declared compatibility law
- Loss_F_when_distinctions_are_erased: loss ledger entries whenever fields are dropped
- target_verifier_record: active verification output from target environment verifier
validation_criteria:
- chi_F_law_verified: descent compatibility square commutes up to declared law (strict equality or isomorphism)
- lossy_transport_requires_Loss_F: whenever distinctions are erased, an authorized loss ledger entry must be emitted with trigger coda_mur.unmapped_field_drop
- target_verifier_must_not_be_bypassed: target representation must pass active verifier acceptance
terminal_routes:
- TransportOk
- DegradedTransportWithLoss
- AuthorityLaundering
- LossLedgerMissing
- TransportViolation
- Unsupported
terminal_route_map:
  TransportOk: Preserve
  DegradedTransportWithLoss: Quarantine
  AuthorityLaundering: Refuse
  LossLedgerMissing: Refuse
  TransportViolation: Reject
  Unsupported: Unsupported
extensions:
  condition_to_local_route_map:
    verified_lossless_target_accepted: TransportOk
    verified_lossy_with_ledger: DegradedTransportWithLoss
    verifier_bypassed: AuthorityLaundering
    loss_detected_without_ledger: LossLedgerMissing
    commutation_square_violated: TransportViolation
certification:
  certificate_required: true
  certificate_kind: transport_certificate
  obstruction_class_required: true
  loss_ledger_required: conditional
  loss_ledger_trigger_id: coda_mur.unmapped_field_drop
  verifier_required: true
authorization:
  authorized_by: null
  certified_implies_authorized: false
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: "Representation transport contract asserting verified descent compatibility
    chi_F: D_target F => bar F D_source, mandatory target verifier execution, and refusal
    of un-ledgered loss or bypassed verification."
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_not_a_relational_project_join
    anomaly_exclusion: gauge drift, unverified descent divergence, bypassed target
      validation, and unrecorded loss
    lossless_join:
      status: declared_reconstruction
      statement: representation transport with verified descent compatibility
    dependency_preservation:
      status: declared_with_the_invariant
      statement: The preserved invariant stays on the declared schema. This form does
        not state a functional-dependency projection of a flat relvar decomposition.
    syntactic_decision:
      status: declaration_decidable
      statement: The check reads the declared constraints and validation criteria.
        One unrecorded runtime image is not the decider.
canonical_terminal_map:
  TransportOk: Preserve
  DegradedTransportWithLoss: Quarantine
  AuthorityLaundering: Refuse
  LossLedgerMissing: Refuse
  TransportViolation: Reject
  Unsupported: Unsupported
schema_ref: ./normal_form_contract_schema.yaml