nf.bridge.wir_relvar

WIR to Relvar Bridge Contract (WIR-Relvar Bridge)

Contract ID: nf.bridge.wir_relvar | Family: bridge | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

WIR to Relvar Bridge Contract (WIR-Relvar Bridge) enforces structural normalization and explicit defect routing in the bridge regime.

Property	Value
Canonical ID	nf.bridge.wir_relvar
Short Name	WIR-Relvar Bridge
Full Name	WIR to Relvar Bridge Contract
Family	bridge (Cross-Substrate Bridge Contracts (WIR to Relational Variable Lowering))
Qualification	Extended Form Contract (Normal Form Contract)
Data / Math Posture	in_transformation
Index Status	draft
Theory Status	proposed
Verification Status	absent
Contract Version	v0
Governance Fence	AuthorityEffect: None (certified_implies_authorized: false)

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2. Visual Architecture & Normalization Diagram

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3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage	Carrier / Operator	Concrete State / Invariant
1. Before / Candidate Input	Input Carrier (WIR-Relvar Bridge Candidate)	Anomaly risk: uncontracted domain ; introduction, phantom carrier ; projection, un-witnessed attrib...
2. Normalization / Gate	WIR-Relvar Bridge Verification Gate	formal translation betwee... (certified_implies_authorized: false)
3. After / Certified Output	Certified WIR-Relvar Bridge Output	Invariant: ['wir_relation', ; 'heading_declaration', ; 'domain_mapping',...

Contract-Declared Worked Cases

- ref: coda_all_universe/1_the_tower/normal_forms/design_docs_000.md
  section: 2. The Genesis Relation

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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.bridge.wir_relvar
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	uncontracted domain introduction, phantom carrier projection, un-witnessed attribute promotion
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: formal translation between raw binary WIR relations and typed Codd relvars with declared heading, candidate keys, and domain constraints Protected Skeleton: ['wir_relation', 'heading_declaration', 'domain_mapping', 'candidate_key_declaration']
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 assert higher normal forms (1NF-6NF / BCNF) prior to attached non-key facts
• attribute domains cannot be derived purely from extensional support S(W) alone; they require declared intensional domain definitions
• does not translate higher dimensional cells (see higher structure contracts for Shell2 vs Fill2)
• does not imply runtime repair without a declared cochain complex
• does not certify transactional authorization

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• source_wir_ref: W(x, y)
• heading: {'attributes': [{'name': 'source_id', 'domain': 'DeclaredDomain(S(W))'}, {'name': 'target_id', 'domain': 'DeclaredDomain(S(W))'}]}
• candidate_keys: 'source_id', 'target_id'
• relation_predicate: Relvar tuple (u, v) exists iff W(u, v) holds

5.2 Required Evidence

• wir_source_packet: source occurrence and presence relations
• replay_wir_predicates: re-execution of non-emptiness, presence DISTINCT projection, and self-loop irreflexivity queries
• heading_and_domain_bindings

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	every tuple in the bridged relvar corresponds bijectively to an edge in W
criterion	Check	attribute domains are typed over declared domains covering support S(W)
criterion	Check	candidate key (source_id, target_id) ensures under declared assumptions no duplicate directed edges

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
AcceptBridgedRelvar	Preserve
RejectUntypedAttribute	Reject
RejectKeylessRelvar	Reject
RequireClassical1NF	Lift

5.5 Declared Failure Modes

• symptom: relvar attributes declared without intensional domain definitions, diagnosis: uncontracted domain introduction, terminal: RejectUntypedAttribute
• symptom: relation declared without candidate key over endpoint pair, diagnosis: keyless relvar violating relational foundation, terminal: RejectKeylessRelvar

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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.bridge.wir_relvar (WIR-Relvar Bridge) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (AcceptBridgedRelvar, RejectUntypedAttribute, RejectKeylessRelvar, RequireClassical1NF) 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_transformation, this contract enforces that uncontracted domain introduction, phantom carrier projection, un-witnessed attribute promotion is either excluded under formal translation between raw binary WIR relations and typed Codd relvars with declared heading, candidate keys, and domain constraints 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.bridge.wir_relvar.

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7. Canonical YAML Contract (contracts/nf.bridge.wir_relvar.yaml)

Click to expand full canonical YAML contract (contracts/nf.bridge.wir_relvar.yaml)

schema_version: smplx.nf.contract.v0
schema_ref: ./normal_form_contract_schema.yaml
contract_kind: bridge_contract
identity:
  id: nf.bridge.wir_relvar
  name: WIR to Relvar Bridge Contract
  short_name: WIR-Relvar Bridge
  version: v0
  status: draft
  theory_status: proposed
  contract_status: draft
  verification_status: absent
  family: bridge
classification:
  hierarchy_level: bridge_form
  subject_kind:
  - witnessed_relation
  - relvar
  - heading
  data_posture: in_transformation
  mathematical_posture: formal_algebraic
purpose:
  excludes_anomaly: uncontracted domain introduction, phantom carrier projection,
    un-witnessed attribute promotion
  preserves_invariant: formal translation between raw binary WIR relations and typed
    Codd relvars with declared heading, candidate keys, and domain constraints
  protected_skeleton:
  - wir_relation
  - heading_declaration
  - domain_mapping
  - candidate_key_declaration
  erased_structure:
  - untyped_pair_representation
  non_claims:
  - does not assert higher normal forms (1NF-6NF / BCNF) prior to attached non-key
    facts
  - attribute domains cannot be derived purely from extensional support S(W) alone;
    they require declared intensional domain definitions
  - does not translate higher dimensional cells (see higher structure contracts for
    Shell2 vs Fill2)
  - does not imply runtime repair without a declared cochain complex
  - does not certify transactional authorization
declarations_required:
- source_wir_ref: W(x, y)
- heading:
    attributes:
    - name: source_id
      domain: DeclaredDomain(S(W))
    - name: target_id
      domain: DeclaredDomain(S(W))
- candidate_keys:
  - - source_id
    - target_id
- relation_predicate: Relvar tuple (u, v) exists iff W(u, v) holds
evidence_required:
- wir_source_packet: source occurrence and presence relations
- replay_wir_predicates: re-execution of non-emptiness, presence DISTINCT projection,
    and self-loop irreflexivity queries
- heading_and_domain_bindings
validation_criteria:
- every tuple in the bridged relvar corresponds bijectively to an edge in W
- attribute domains are typed over declared domains covering support S(W)
- candidate key (source_id, target_id) ensures under declared assumptions no duplicate directed edges
proof_obligations:
- id: bridge.lossless_relvar_encoding
  status: theorem_shaped
  statement: Bridging WIR into a relvar preserves all adjacency facts and introduces
    zero spurious tuples
terminal_routes:
- AcceptBridgedRelvar
- RejectUntypedAttribute
- RejectKeylessRelvar
- RequireClassical1NF
terminal_route_map:
  AcceptBridgedRelvar: Preserve
  RejectUntypedAttribute: Reject
  RejectKeylessRelvar: Reject
  RequireClassical1NF: Lift
certification:
  certificate_required: false
  certificate_kind: null
  obstruction_class_required: false
  loss_ledger_required: false
  verifier_required: false
  loss_ledger_trigger_id: null
authorization:
  authorized_by: null
  certified_implies_authorized: false
failure_modes:
- symptom: relvar attributes declared without intensional domain definitions
  diagnosis: uncontracted domain introduction
  terminal: RejectUntypedAttribute
- symptom: relation declared without candidate key over endpoint pair
  diagnosis: keyless relvar violating relational foundation
  terminal: RejectKeylessRelvar
examples:
- ref: coda_all_universe/1_the_tower/normal_forms/design_docs_000.md
  section: 2. The Genesis Relation
references:
- coda_all_universe/1_the_tower/normal_forms/design_docs_000.md
- ./nf.genesis.wir.yaml
- ./normal_form_contract_schema.yaml
extensions:
  normalization:
    kind: operational_contract
    claim_scope: Operational evidence contract; no canonical representative, idempotence,
      or equivalence completeness is established by its route predicates.
    evidence: ../docs/normal_form_audit.md
quadrilateral:
  qualifies_as_true_normal_form: false
  anomaly_exclusion: uncontracted domain introduction, phantom carrier projection,
    un-witnessed attribute promotion
  lossless_join:
    status: lossless
    statement: Bridging WIR into a relvar preserves all adjacency facts and introduces
      zero spurious tuples.
  dependency_preservation:
    status: preserved
    statement: Candidate key dependencies on endpoint pairs are preserved across the
      bridge.
  syntactic_decision:
    status: decidable
    statement: Validates bijection between bridged tuples and directed edges in W.