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nf.epistemic.replica

Jeremy H. Carroll edited this page Oct 30, 2026 · 1 revision

Replica Normal Form (RNF)

Contract ID: nf.epistemic.replica | Family: epistemic | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Replica Normal Form (RNF) enforces structural normalization and explicit defect routing in the epistemic regime.

Property Value
Canonical ID nf.epistemic.replica
Short Name RNF
Full Name Replica Normal Form
Family epistemic (Observer-Relative Epistemic, Freshness, Context, Provenance & Distinguishability Contracts)
Qualification Extended Form Contract (Normal Form Contract)
Data / Math Posture in_motion
Index Status draft
Theory Status proposed
Verification Status absent
Contract Version v0
Governance Fence AuthorityEffect: None (certified_implies_authorized: false)

2. Visual Architecture & Normalization Diagram

Replica Normal Form (RNF) Diagram


3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage Carrier / Operator Concrete State / Invariant
1. Before / Candidate Input Input Carrier (RNF Candidate) Anomaly risk: false sameness
2. Normalization / Gate RNF Verification Gate every copy declares origi... (certified_implies_authorized: false)
3. After / Certified Output Certified RNF Output Invariant: ['origin', 'epoch', ; 'causal_frontier', ; 'divergence_budget']

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.epistemic.replica
Pillar I: Excludes Anomaly Name and eliminate a specific class of data or state defects. false sameness
Pillar II: Preserves Invariant State the structural invariant and protected skeleton preserved across transitions. Invariant: every copy declares origin epoch causal frontier divergence budget reconciliation
Protected Skeleton: ['origin', 'epoch', 'causal_frontier', 'divergence_budget']
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)

  • eventual consistency is not equivalence without declared budget

5. Operational Verification & Terminal Routing

5.1 Required Declarations

  • origin
  • epoch
  • causal_frontier
  • divergence_budget
  • reconciliation_rule

5.2 Required Evidence

  • replica_identity
  • frontier_vector or lamport_clock

5.3 Validation Criteria

Criterion ID Name Condition
criterion Check replicas are not compared without declared frontier
criterion Check merge requires reconciliation_rule terminal when budget exceeded
criterion Check aligns with BQNF Serialize terminal when concurrent defects do not commute

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
Reconciled Preserve
Converging Repair
DivergenceExceeded Escalate
Serialize Serialize
Refuse Refuse

5.5 Declared Failure Modes

All defects route explicitly through the Terminal Route Map above.


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.epistemic.replica (RNF) against its declared schema, boundary constraints, and witness obligations in this model.
    • Supports deterministic terminal routing (Reconciled, Converging, DivergenceExceeded, Serialize) 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 false sameness is either excluded under every copy declares origin epoch causal frontier divergence budget reconciliation 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.epistemic.replica.

7. Canonical YAML Contract (contracts/nf.epistemic.replica.yaml)

Click to expand full canonical YAML contract (contracts/nf.epistemic.replica.yaml)
schema_version: smplx.nf.contract.v0
contract_kind: normal_form_contract
identity:
  id: nf.epistemic.replica
  name: Replica Normal Form
  short_name: RNF
  version: v0
  status: draft
  family: epistemic
  theory_status: proposed
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: normal_form
  subject_kind:
  - distributed_claim
  - relvar
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: false sameness
  preserves_invariant: every copy declares origin epoch causal frontier divergence
    budget reconciliation
  protected_skeleton:
  - origin
  - epoch
  - causal_frontier
  - divergence_budget
  erased_structure: []
  non_claims:
  - eventual consistency is not equivalence without declared budget
declarations_required:
- origin
- epoch
- causal_frontier
- divergence_budget
- reconciliation_rule
evidence_required:
- replica_identity
- frontier_vector or lamport_clock
validation_criteria:
- replicas are not compared without declared frontier
- merge requires reconciliation_rule terminal when budget exceeded
- aligns with BQNF Serialize terminal when concurrent defects do not commute
proof_obligations: []
terminal_routes:
- Reconciled
- Converging
- DivergenceExceeded
- Serialize
- Refuse
certification:
  certificate_required: true
  certificate_kind: replica_witness
  obstruction_class_required: false
  loss_ledger_required: false
  verifier_required: true
authorization:
  authorized_by: null
  certified_implies_authorized: false
references:
- ../1_normal_forms.md
terminal_route_map:
  Reconciled: Preserve
  Converging: Repair
  DivergenceExceeded: Escalate
  Serialize: Serialize
  Refuse: Refuse
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: false sameness. every copy declares origin epoch causal frontier
    divergence budget reconciliation
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_not_a_relational_project_join
    anomaly_exclusion: false sameness
    lossless_join:
      status: declared_reconstruction
      statement: every copy declares origin epoch causal frontier divergence budget
        reconciliation
    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.
schema_ref: ./normal_form_contract_schema.yaml

🏛️ Simplex Normal Forms


📚 112 Normal Forms by Family

shape (17)
change (6)
coda (2)
representation (5)
transport (3)
compilation (1)
epistemic (15)
authority (1)
evidence (8)
derivation (12)
topology (2)
physics (20)
relativistic (2)
motion (3)
runtime (3)
experimental (8)
bridge (1)
query (1)
recursion (1)
security (1)

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