nf.classical.0nf

Raw / Unnormalized Form (0NF)

Contract ID: nf.classical.0nf | Family: shape | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Raw / Unnormalized Form (0NF) enforces structural normalization and explicit defect routing in the shape regime.

Property	Value
Canonical ID	nf.classical.0nf
Short Name	0NF
Full Name	Raw / Unnormalized Form
Family	shape (Relational, Algebraic & Cochain Shape Normal Forms (Data at Rest & Structural Decompositions))
Qualification	Extended Form Contract (Normal Form Contract)
Data / Math Posture	at_rest
Index Status	draft
Theory Status	established
Verification Status	executable
Contract Version	v0
Governance Fence	AuthorityEffect: None (certified_implies_authorized: false)

Foundational Treatise Specification

• Author: Pedagogical pre-form
• Structural Invariant: Finite carrier before heading, domain, key, or predicate is declared.
• Anomaly Excluded: None.
• Lossless Join Property: Not applicable.
• Qualifies As True Normal Form: False
• Qualification Gap: Removes no anomalies; lacks schema constraints.

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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	Unnormalized Table (Repeating Groups)	row 1: Order#101
2. Normalization / Gate	0NF Carrier Intake	Untyped Table -> Relvar Gate (certified_implies_authorized: false)
3. After / Certified Output	Pre-Normalized Relvar Carrier	Status: Admitted as 0NF Raw Carrier ; Gap: Requires 1NF Unnest + Key ; Route: UnnormalizedCarrier

Contract-Declared Worked Cases

- ref: coda_all_universe/1_the_tower/normal_forms/contracts/_book_09_full_normal_form_atlas.md
  section: 2.1 Classical Relational Normal Forms

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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.classical.0nf
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	none
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: carrier is parseable as a finite data body before relational discipline is asserted Protected Skeleton: ['finite_carrier', 'parseable_values']
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 relation semantics
• does not assert tuple identity
• does not assert declared domains or keys
• does not certify runtime repair
• does not imply authorization
• does not meet the four-pillar test for a true normal form

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• finite_carrier_encoding
• parse_rule

5.2 Required Evidence

None declared.

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	carrier can be parsed into finite values under the declared parse rule
criterion	Check	unparseable carrier cannot be promoted to relational analysis
criterion	Check	relational claims require explicit heading domains keys and predicate

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
AcceptRawCarrier	Preserve
RejectUnparseableCarrier	Reject
RequireRelationalDeclaration	Refuse

5.5 Declared Failure Modes

• symptom: byte stream is treated as a relation before parse rule and heading are declared, diagnosis: raw carrier promoted to relational claim, terminal: RequireRelationalDeclaration

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Deep-Dive Level Treatise

AuthorityEffect: None.
Level: Level 00 (Unnormalized Raw Presentation / Base Ground)
Evidential Grade: NATIVE IMPLEMENTED
Contract Reference: nf.classical.0nf
Mathematical Posture: Structural / Operational
Data Posture: At Rest / Ingress

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1. Schematic & Conceptual Architecture

Zero Normal Form (0NF) models raw, unnormalized data representations prior to any relational atomicity or dependency discipline. In 0NF:

• Attributes may contain non-scalar collections (arrays, sub-tables, JSON bags, nested trees).
• Tuples lack positional or domain invariance.
• Duplication and repeated field groups are unrestricted.

Raw Ingress Representation (0NF)
  ┌─────────────────────────────────────────────────────────────┐
  │ Record: [id: 101, tags: {"dev", "ops"}, payload: [1, 2, 3]] │
  └──────────────────────────────┬──────────────────────────────┘
                                 │
                   Flattening & Atomicity Filter
                                 ▼
                     Scalar Relvar (1NF)

In the MSS-N Tower, 0NF serves as the ground state for all data ingress pipelines, establishing the baseline against which structural projection loss is audited.

The Ontological Triad: Table, Relvar, Boundary-Relvar

Construct	Ontological Layer	Mathematical Object	Structural Discipline	Failure / Degeneracy Mode
SQL Table	Industrial Storage Engine	Multiset of physical rows, nullable columns, ordered fields	Ad-hoc SQL DDL (CREATE TABLE), duplicate rows permitted unless explicit unique constraint	Hidden duplicates, three-valued logic (NULL = NULL is UNKNOWN), silent ordering reliance
Relational Relvar	Classical Logical Model (Codd/Date)	Time-varying relation variable whose state is a mathematical relation $(H, B)$	Unordered set of tuples, atomic scalar values, unique candidate keys	Static data-at-rest only; silent update/CDC cache inconsistency across views
Boundary-Relvar	Boundary-Oriented Programming (MSS-N)	Augmented relvar $(R, \partial R)$ equipped with discrete cochain boundary	Explicit delta-boundary tracking, signed repair certificates, typed terminal routing	Quarantined when boundary delta residual $\Xi > 0$ cannot be locally repaired

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2. Mathematical Invariants & Quadrilateral Properties

1. Relation Heading & Non-Scalar Domains: $$R_0 = (H, B), \quad H = {A_1: D_1, \dots, A_k: D_k}$$ where domains $D_i$ may be arbitrary power sets $\mathcal{P}(U)$ or recursive relation types.

2. The Quadrilateral Invariants:

   • Anomaly Excluded: Uncontrolled structural embedding, invisible nested updates, and indeterminate key semantics.
   • Protected Skeleton: Raw tuple identifiers and declared nested attribute trees.
   • Erased Structure: None (0NF preserves all ingress bytes).
   • Reconstruction: Trivial identity mapping $R_0 \to R_0$.

3. Non-Claims:

   • 0NF does not claim relational closure under Codd relational algebra.
   • 0NF does not ensure under declared assumptions unique tuple addressing without an external row identifier.
   • 0NF does not prevent update, insertion, or deletion anomalies.

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3. Terminal Routes & Verification Logic

Ingress Payload
      │
      ├── Contains valid parse tree ──► Preserve (0NF Admitted)
      │
      ├── Missing root schema ────────► Refuse (IngressViolation)
      │
      └── Unparseable encoding ───────► Reject (MalformedPayload)

• Preserve: Payload admitted as a raw, unflattened ground representation.
• Refuse: Schema declaration missing or untyped.
• Reject: Syntax or framing violation.

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4. Test Evidence & Local Execution

Verified in test_tranche3_advanced_relational_nfs.py:

• test_0nf_nested_collection_preservation: Asserts that non-scalar attributes remain accessible without silent projection.
• test_0nf_rejection_of_relational_joins: Verifies that Codd joins on non-scalar domains fail closed to typed refusal.

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5. Epistemic Claim Quadrant

1. What it supports:
   • Formal admission of nested and unnormalized data payloads without premature data loss.
   • Explicit auditing of ingress representations before relational normalization begins.
2. What it does not support:
   • Relational dependency preservation, lossless join decomposition, or SQL set algebra.
3. The narrowest defensible claim:
   • 0NF defines an unconstrained container whose members satisfy syntax parsing but not relational first normal form.
4. The next test needed:
   • Property tests asserting that any 0NF $\to$ 1NF flattening step emits an explicit loss ledger whenever nested ordering is discarded.

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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.classical.0nf (0NF) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (AcceptRawCarrier, RejectUnparseableCarrier, RequireRelationalDeclaration) 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 at_rest, this contract enforces that none is either excluded under carrier is parseable as a finite data body before relational discipline is asserted 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.classical.0nf.

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7. Canonical YAML Contract (contracts/nf.classical.0nf.yaml)

Click to expand full canonical YAML contract (contracts/nf.classical.0nf.yaml)

schema_version: smplx.nf.contract.v0
schema_ref: ./normal_form_contract_schema.yaml
contract_kind: form_contract
identity:
  id: nf.classical.0nf
  name: Raw / Unnormalized Form
  short_name: 0NF
  version: v0
  theory_status: established
  contract_status: draft
  verification_status: executable
  family: shape
  status: draft
classification:
  hierarchy_level: form
  subject_kind:
  - relvar
  data_posture: at_rest
  mathematical_posture: operational
purpose:
  excludes_anomaly: none
  preserves_invariant: carrier is parseable as a finite data body before relational
    discipline is asserted
  protected_skeleton:
  - finite_carrier
  - parseable_values
  erased_structure: []
  non_claims:
  - does not assert relation semantics
  - does not assert tuple identity
  - does not assert declared domains or keys
  - does not certify runtime repair
  - does not imply authorization
  - does not meet the four-pillar test for a true normal form
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  citation:
    label: pedagogical name for an unnormalized carrier
  formal_statement: 'A carrier is called 0NF when a declared parse rule reads it as
    a finite collection of values. No heading, domain, key, or predicate is required.

    '
  quadrilateral:
    qualifies_as_true_normal_form: false
    anomaly_exclusion: no anomaly class is excluded
    lossless_join:
      status: not_applicable
      statement: no decomposition is defined
    dependency_preservation:
      status: not_applicable
      statement: no dependency set is declared
    syntactic_decision:
      status: parse_check
      statement: 'The check is that the declared parse rule accepts the carrier. That
        is not a decision about a relation schema.

        '
declarations_required:
- finite_carrier_encoding
- parse_rule
evidence_required: []
validation_criteria:
- carrier can be parsed into finite values under the declared parse rule
- unparseable carrier cannot be promoted to relational analysis
- relational claims require explicit heading domains keys and predicate
proof_obligations: []
terminal_routes:
- AcceptRawCarrier
- RejectUnparseableCarrier
- RequireRelationalDeclaration
terminal_route_map:
  AcceptRawCarrier: Preserve
  RejectUnparseableCarrier: Reject
  RequireRelationalDeclaration: Refuse
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: byte stream is treated as a relation before parse rule and heading are
    declared
  diagnosis: raw carrier promoted to relational claim
  terminal: RequireRelationalDeclaration
examples:
- ref: coda_all_universe/1_the_tower/normal_forms/contracts/_book_09_full_normal_form_atlas.md
  section: 2.1 Classical Relational Normal Forms
references:
- coda_all_universe/1_the_tower/normal_forms/contracts/_book_09_full_normal_form_atlas.md
- coda_all_universe/1_the_tower/normal_forms/contracts/_paper_0_relvar_relation_table_and_boundary_relvar.md