nf.ddc.lift_ledger

Lift Ledger Normal Form (LNLF)

Contract ID: nf.ddc.lift_ledger | Family: transport | Index Status: active | AuthorityEffect: None

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1. Executive Summary & Metadata

Lift Ledger Normal Form (LNLF) enforces structural normalization and explicit defect routing in the transport regime.

Property	Value
Canonical ID	nf.ddc.lift_ledger
Short Name	LNLF
Full Name	Lift Ledger Normal Form
Family	transport (Scale Ascent/Descent & Representation Transport Ledgers (LNLF, LLNF, GNF))
Qualification	Extended Form Contract (Normal Form Contract)
Data / Math Posture	in_motion
Index Status	active
Theory Status	established
Verification Status	executable
Contract Version	v0
Governance Fence	AuthorityEffect: None (certified_implies_authorized: false)

Foundational Treatise Specification

• Family: transport
• Runes: ['LAMBDA', 'D']
• Target Runtime Law: Law 4 (Step Adjacency & Lift Coherence)
• Domain: Coarse-to-fine scale ascent transformations LAMBDA: H_{k-1} -> H_k.
• Anomaly Excluded: Broken scale step adjacency (|k - k'| > 1) and unlicensed energy inflation.
• Preserved Invariant: Step adjacency verification (k' = k + 1) and exact rational norm tracking.
• Reconstruction Theorem: Projection \pi \circ LAMBDA recovers coarse state identically on supported subspace.

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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 (LNLF Candidate)	Anomaly risk: unlicensed dimension ; expansions, broken step adjacency ; in multi-step descent/lift chai...
2. Normalization / Gate	LNLF Verification Gate	FiniteLambdaLedger sequen... (certified_implies_authorized: false)
3. After / Certified Output	Certified LNLF Output	Invariant: ; ['initial_state_endpoint', ; 'terminal_state_endpoint',...

Contract-Declared Worked Cases

- ref: omega_engine_education/documentation/14_discrete_deformation_calculus_ddc/00_discrete_deformation_calculus_foundations.md
  section: '2.5'

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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.ddc.lift_ledger
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	unlicensed dimension expansions, broken step adjacency in multi-step descent/lift chains, or unresolved empty ledgers
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: FiniteLambdaLedger sequence chaining with step adjacency, intermediate descent enforcement, and ℓ¹ norm preservation Protected Skeleton: ['initial_state_endpoint', 'terminal_state_endpoint', 'finite_step_sequence', 'adjacency_witnesses', 'license_identifier']
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 structural lift eliminates obstructions; non-exactness persists across extensions
• does not permit lift without an explicit discrete license LCE
• does not confer operational authority; authority_effect is unconditionally None

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• initial_phi_gamma
• terminal_phi_gamma
• steps_array
• license_id

5.2 Required Evidence

None declared.

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	lift rune Λ is initiated only from authorized trigger states (Law 4)
``	****
criterion	Check	license ID resolves to an admitted Discrete Context Extension

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
AdmitLiftLedger	Preserve
ExecuteStructuralLift	Lift
RejectUnlicensedLift	Refuse
RejectBrokenAdjacency	Reject

5.5 Declared Failure Modes

• symptom: step[i].after does not match step[i+1].before, diagnosis: broken step adjacency; unchained deformation sequence, terminal: RejectBrokenAdjacency
• symptom: lift proposed without ClosedResidual or DetectorInadequate, diagnosis: lift attempted from uncertified pre-state; violates Law 4, terminal: RejectUnlicensedLift

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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.ddc.lift_ledger (LNLF) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (AdmitLiftLedger, ExecuteStructuralLift, RejectUnlicensedLift, RejectBrokenAdjacency) 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 unlicensed dimension expansions, broken step adjacency in multi-step descent/lift chains, or unresolved empty ledgers is either excluded under FiniteLambdaLedger sequence chaining with step adjacency, intermediate descent enforcement, and ℓ¹ norm preservation 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.ddc.lift_ledger.

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7. Canonical YAML Contract (contracts/nf.ddc.lift_ledger.yaml)

Click to expand full canonical YAML contract (contracts/nf.ddc.lift_ledger.yaml)

schema_version: smplx.nf.contract.v0
schema_ref: ./normal_form_contract_schema.yaml
contract_kind: normal_form_contract
identity:
  id: nf.ddc.lift_ledger
  name: Lift Ledger Normal Form
  short_name: LNLF
  version: v0
  theory_status: established
  contract_status: active
  status: active
  verification_status: executable
  family: transport
classification:
  hierarchy_level: normal_form
  subject_kind:
    - structural_lift
    - dimension_extension
    - finite_lambda_ledger
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: unlicensed dimension expansions, broken step adjacency in multi-step descent/lift chains, or unresolved empty ledgers
  preserves_invariant: FiniteLambdaLedger sequence chaining with step adjacency, intermediate descent enforcement, and ℓ¹ norm preservation
  protected_skeleton:
    - initial_state_endpoint
    - terminal_state_endpoint
    - finite_step_sequence
    - adjacency_witnesses
    - license_identifier
  erased_structure:
    - unreferenced_external_gauge_coordinates
  non_claims:
    - does not claim structural lift eliminates obstructions; non-exactness persists across extensions
    - does not permit lift without an explicit discrete license LCE
    - does not confer operational authority; authority_effect is unconditionally None
definition:
  source: omega_engine_education/documentation/14_discrete_deformation_calculus_ddc/normal_forms/README.md
  section: '2.0'
  formal_statement: >
    On a discrete deformation trajectory involving dimension expansions, Lift Ledger Normal Form (LNLF)
    organizes multi-step moves into an explicit FiniteLambdaLedger. Structural lift rune Λ is triggered
    strictly from ClosedResidual (Φ₁ > 0, Γ₂ = 0) or DetectorInadequate states under Licensed Context
    Extension (LCE), enforcing adjacent step continuity step[i].after == step[i+1].before.
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: step_adjacency_chaining_not_relational_project_join
    anomaly_exclusion: jumping coordinates without step continuity, unchained descent rows, or lifting without valid discrete license
    lossless_join:
      status: chained_sequence_reconstruction
      statement: the sequence of intermediate states is reconstructed losslessly from step[0].before to step[-1].after
    dependency_preservation:
      status: pairwise_adjacency_preserved
      statement: step[i].after == step[i+1].before is checked locally on adjacent step pairs
    syntactic_decision:
      status: finite_ledger_decidable
      statement: membership is decidable by FiniteLambdaLedger.require_chained()
declarations_required:
  - initial_phi_gamma
  - terminal_phi_gamma
  - steps_array
  - license_id
evidence_required: []
validation_criteria:
  - lift rune Λ is initiated only from authorized trigger states (Law 4)
  - consecutive step endpoints match exactly: step[i].after == step[i+1].before
  - license ID resolves to an admitted Discrete Context Extension
terminal_routes:
  - AdmitLiftLedger
  - ExecuteStructuralLift
  - RejectUnlicensedLift
  - RejectBrokenAdjacency
terminal_route_map:
  AdmitLiftLedger: Preserve
  ExecuteStructuralLift: Lift
  RejectUnlicensedLift: Refuse
  RejectBrokenAdjacency: Reject
certification:
  certificate_required: true
  certificate_kind: lambda_ledger_receipt
  obstruction_class_required: true
  loss_ledger_required: true
  verifier_required: true
  loss_ledger_trigger_id: descent_with_loss
authorization:
  authorized_by: null
  certified_implies_authorized: false
failure_modes:
  - symptom: step[i].after does not match step[i+1].before
    diagnosis: broken step adjacency; unchained deformation sequence
    terminal: RejectBrokenAdjacency
  - symptom: lift proposed without ClosedResidual or DetectorInadequate
    diagnosis: lift attempted from uncertified pre-state; violates Law 4
    terminal: RejectUnlicensedLift
examples:
  - ref: omega_engine_education/documentation/14_discrete_deformation_calculus_ddc/00_discrete_deformation_calculus_foundations.md
    section: '2.5'
references:
  - omega_engine_governance/contracts/contracts_omega_engine_crates/mathematics/discrete_deformation_algebra/quotient_transport.contract.yaml