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nf.epistemic.efnf

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

Endogenous Fidelity Normal Form (EFNF)

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

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1. Executive Summary & Metadata

Endogenous Fidelity Normal Form (EFNF) enforces structural normalization and explicit defect routing in the epistemic regime.

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

2. Visual Architecture & Normalization Diagram

Endogenous Fidelity Normal Form (EFNF) Diagram


3. Concrete Worked Example & Mechanism

Visual Transition Summary

Stage Carrier / Operator Concrete State / Invariant
1. Before / Candidate Input Input Carrier (EFNF Candidate) Anomaly risk: external state ; leakage anomaly where ; unrepresented metadata affects...
2. Normalization / Gate EFNF Verification Gate the Effectual-Outside... (certified_implies_authorized: false)
3. After / Certified Output Certified EFNF Output Invariant: ['represented_support', ; 'observation_views', ; 'requirement_store',...

Contract-Declared Worked Cases

- ref: https://github.com/dbccpage/19L57G1/blob/f1d56c010e6ba10a3b9418bd7cc5953c067250f2/lean4/Derivation/NoOutside.lean
  section: lean4/Derivation/NoOutside.lean
  note: the Effectual-Outside Dichotomy check and retraction down-map

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.efnf
Pillar I: Excludes Anomaly Name and eliminate a specific class of data or state defects. external state leakage anomaly where unrepresented metadata affects operational verdicts, and non-retractive world extensions
Pillar II: Preserves Invariant State the structural invariant and protected skeleton preserved across transitions. Invariant: the Effectual-Outside Dichotomy holds so that identical represented support ensures under declared assumptions identical operational outcomes, and every extension proposal carries an explicit retraction down-map
Protected Skeleton: ['represented_support', 'observation_views', 'requirement_store', 'retraction_down_map']
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 claim complete knowledge of external reality
  • does not grant operational authority to unrepresented variables
  • does not allow proposals without base-carrier retractions
  • does not imply operational authority

5. Operational Verification & Terminal Routing

5.1 Required Declarations

  • world_state
  • represented_support_mapping
  • extension_proposal
  • base_carrier
  • extension_carrier
  • inclusion_u
  • retraction_r
  • evaluator_factorization

5.2 Required Evidence

  • support_equality_receipt
  • evaluator_invariance_receipt
  • retraction_identity_proof

5.3 Validation Criteria

Criterion ID Name Condition
criterion Check two world states with identical represented support yield identical evaluation results
criterion Check r(u(b)) = b for every base b; no claim that u(r(e)) = e for every extension e
criterion Check inert notes cannot alter requirement satisfaction or quiescence

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
AcceptEndogenousFidelity Preserve
RejectExternalStateLeakage Invalidate
RejectInvalidRetraction Reject
Undetermined Abstain

5.5 Declared Failure Modes

  • symptom: modifying unrepresented notes alters an operational evaluation, diagnosis: operational evaluator violates the No-Outside contract, terminal: RejectExternalStateLeakage
  • symptom: proposal down-map mutates an element of the base carrier, diagnosis: the supplied maps fail r composed with u equals id_B, terminal: RejectInvalidRetraction

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.efnf (EFNF) against its declared schema, boundary constraints, and witness obligations in this model.
    • Supports deterministic terminal routing (AcceptEndogenousFidelity, RejectExternalStateLeakage, RejectInvalidRetraction, Undetermined) 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 external state leakage anomaly where unrepresented metadata affects operational verdicts, and non-retractive world extensions is either excluded under the Effectual-Outside Dichotomy holds so that identical represented support ensures under declared assumptions identical operational outcomes, and every extension proposal carries an explicit retraction down-map 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.efnf.

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

Click to expand full canonical YAML contract (contracts/nf.epistemic.efnf.yaml)
# Draft declaration: no bound local contract evaluator is supplied; upstream mathematics and schema checks are separate evidence.
schema_version: smplx.nf.contract.v0
contract_kind: form_contract
identity:
  id: nf.epistemic.efnf
  name: Endogenous Fidelity Normal Form
  short_name: EFNF
  version: v0
  status: draft
  family: epistemic
  theory_status: established
  contract_status: draft
  verification_status: absent
classification:
  hierarchy_level: form
  subject_kind:
  - world_state
  - represented_support
  - retraction_down_map
  data_posture: at_rest
  mathematical_posture: operational
purpose:
  excludes_anomaly: external state leakage anomaly where unrepresented metadata affects operational verdicts,
    and non-retractive world extensions
  preserves_invariant: the Effectual-Outside Dichotomy holds so that identical represented support ensures under declared assumptions
    identical operational outcomes, and every extension proposal carries an explicit retraction down-map
  protected_skeleton:
  - represented_support
  - observation_views
  - requirement_store
  - retraction_down_map
  erased_structure:
  - unrepresented_external_notes
  - ambient_environmental_metadata
  non_claims:
  - does not claim complete knowledge of external reality
  - does not grant operational authority to unrepresented variables
  - does not allow proposals without base-carrier retractions
  - does not imply operational authority
quadrilateral:
  qualifies_as_true_normal_form: false
  qualification_gap: no_project_join_theorem
  anomaly_exclusion: operational verdicts depending on unrepresented external variables, and non-contractive
    extension proposals
  lossless_join:
    status: support_projection_reconstruction
    statement: the operational behavior is reconstructed identically from the represented support tuple
      without external notes
  dependency_preservation:
    status: base_carrier_identity_preserved
    statement: the supplied inclusion and retraction satisfy r composed with u equals the identity on
      the base
  syntactic_decision:
    status: declaration_decidable
    statement: finite map checks when carriers and evaluator table are supplied; arbitrary evaluator invariance
      requires proof
declarations_required:
- world_state
- represented_support_mapping
- extension_proposal
- base_carrier
- extension_carrier
- inclusion_u
- retraction_r
- evaluator_factorization
evidence_required:
- support_equality_receipt
- evaluator_invariance_receipt
- retraction_identity_proof
validation_criteria:
- two world states with identical represented support yield identical evaluation results
- r(u(b)) = b for every base b; no claim that u(r(e)) = e for every extension e
- inert notes cannot alter requirement satisfaction or quiescence
terminal_routes:
- AcceptEndogenousFidelity
- RejectExternalStateLeakage
- RejectInvalidRetraction
- Undetermined
terminal_route_map:
  AcceptEndogenousFidelity: Preserve
  RejectExternalStateLeakage: Invalidate
  RejectInvalidRetraction: Reject
  Undetermined: Abstain
certification:
  certificate_required: true
  certificate_kind: endogenous_fidelity_certificate
  obstruction_class_required: false
  loss_ledger_required: false
  verifier_required: true
authorization:
  authorized_by: null
  certified_implies_authorized: false
failure_modes:
- symptom: modifying unrepresented notes alters an operational evaluation
  diagnosis: operational evaluator violates the No-Outside contract
  terminal: RejectExternalStateLeakage
- symptom: proposal down-map mutates an element of the base carrier
  diagnosis: the supplied maps fail r composed with u equals id_B
  terminal: RejectInvalidRetraction
examples:
- ref: https://github.com/dbccpage/19L57G1/blob/f1d56c010e6ba10a3b9418bd7cc5953c067250f2/lean4/Derivation/NoOutside.lean
  section: lean4/Derivation/NoOutside.lean
  note: the Effectual-Outside Dichotomy check and retraction down-map
references:
- https://github.com/dbccpage/19L57G1/blob/f1d56c010e6ba10a3b9418bd7cc5953c067250f2/docs/GENESIS_CLOSEOUT.md
- ./README.md

🏛️ 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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