nf.cohomology.acnf

Autopoietic Cohomology Normal Form (ACNF)

Contract ID: nf.cohomology.acnf | Family: experimental | Index Status: deprecated | AuthorityEffect: None

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1. Executive Summary & Metadata

Autopoietic Cohomology Normal Form (ACNF) enforces structural normalization and explicit defect routing in the experimental regime.

Property	Value
Canonical ID	nf.cohomology.acnf
Short Name	ACNF
Full Name	Autopoietic Cohomology Normal Form
Family	experimental (Bounded Quantum-Classical, Contextuality, Quantifier Alternation & Agent-State Contracts)
Qualification	Extended Form Contract (Normal Form Contract)
Data / Math Posture	in_motion
Index Status	deprecated
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 (ACNF Candidate)	Anomaly risk: a caller that ; certifies the state it just ; generated under identical identity
2. Normalization / Gate	ACNF Verification Gate	declared caller hash and... (certified_implies_authorized: false)
3. After / Certified Output	Certified ACNF Output	Invariant: ['caller_hash', ; 'target_hash']

Contract-Declared Worked Cases

- ref: coda_all_universe/mssn_sn_tower/definitions.md
  section: '3.7'

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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.cohomology.acnf
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	a caller that certifies the state it just generated under identical identity
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: declared caller hash and target hash differ, and the declared call graph contains no cycle through caller and target Protected Skeleton: ['caller_hash', 'target_hash']
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)

• the check compares two declared hashes and graph paths; it is not an incompleteness theorem and it computes no cohomology groups
• hash inequality H(actor) != H(artifact) does not support causal independence or absence of self-certification without authenticated producer/verifier bindings
• the source name for the refusal is a metaphor. The route in this contract is SelfReferenceRefusal
• does not imply authorization

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• caller_hash
• target_hash
• call_graph

5.2 Required Evidence

None declared.

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	an admitted step has caller hash different from target hash
criterion	Check	a step with equal hashes is refused
criterion	Check	a cycle through the caller and the target in the declared call graph is refused

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
Accept	Preserve
SelfReferenceRefusal	Refuse

5.5 Declared Failure Modes

• symptom: caller hash equals target hash, diagnosis: the caller is the verification target, terminal: SelfReferenceRefusal

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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.cohomology.acnf (ACNF) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (Accept, SelfReferenceRefusal) 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 a caller that certifies the state it just generated under identical identity is either excluded under declared caller hash and target hash differ, and the declared call graph contains no cycle through caller and target 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.cohomology.acnf.

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7. Canonical YAML Contract (contracts/nf.cohomology.acnf.yaml)

Click to expand full canonical YAML contract (contracts/nf.cohomology.acnf.yaml)

schema_version: smplx.nf.contract.v0
schema_ref: ./normal_form_contract_schema.yaml
contract_kind: normal_form_contract
identity:
  id: nf.cohomology.acnf
  name: Autopoietic Cohomology Normal Form
  short_name: ACNF
  version: v0
  theory_status: proposed
  contract_status: deprecated
  verification_status: absent
  family: experimental
  status: deprecated
  alias_of: nf.recursion.asrf
  deprecation_note: >
    Deprecated historical alias for Autopoietic Self-Reference Refusal Form (ASRF / nf.recursion.asrf).
    Retained for contract inventory compatibility; enforces acyclic caller-target identity checks
    and computes no cohomology groups.
classification:
  hierarchy_level: normal_form
  subject_kind:
  - caller_identity
  - verification_target
  data_posture: in_motion
  mathematical_posture: operational
purpose:
  excludes_anomaly: a caller that certifies the state it just generated under identical identity
  preserves_invariant: declared caller hash and target hash differ, and the declared call graph
    contains no cycle through caller and target
  protected_skeleton:
  - caller_hash
  - target_hash
  erased_structure: []
  non_claims:
  - the check compares two declared hashes and graph paths; it is not an incompleteness theorem
    and it computes no cohomology groups
  - hash inequality H(actor) != H(artifact) does not support causal independence or absence of
    self-certification without authenticated producer/verifier bindings
  - the source name for the refusal is a metaphor. The route in this contract is SelfReferenceRefusal
  - does not imply authorization
definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  section: '3.7'
  formal_statement: >
    A verification step records a declared caller hash and a target hash. The step is
    admitted when the two hashes differ and no cycle exists through caller and target in
    the declared call graph. When they are equal or cyclic, the step is refused with
    SelfReferenceRefusal. The refusal record is kept apart from admitted evaluations.
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: no_cohomology_or_join_theorem_is_stated
    qualifies_as_extended_form: true
    anomaly_exclusion: self-certification of a generated state under identical identity
    lossless_join:
      status: refusal_separated
      statement: refused self-cycles are stored as refusals and are not folded into
        admitted evaluations
    dependency_preservation:
      status: hash_inequality_retained
      statement: an admitted step keeps caller hash different from target hash
    syntactic_decision:
      status: declaration_decidable
      statement: the check compares the declared hashes and the declared call graph
declarations_required:
- caller_hash
- target_hash
- call_graph
evidence_required: []
validation_criteria:
- an admitted step has caller hash different from target hash
- a step with equal hashes is refused
- a cycle through the caller and the target in the declared call graph is refused
terminal_routes:
- Accept
- SelfReferenceRefusal
terminal_route_map:
  Accept: Preserve
  SelfReferenceRefusal: 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: caller hash equals target hash
  diagnosis: the caller is the verification target
  terminal: SelfReferenceRefusal
examples:
- ref: coda_all_universe/mssn_sn_tower/definitions.md
  section: '3.7'
references:
- coda_all_universe/mssn_sn_tower/definitions.md
- ./nf.recursion.asrf.yaml