nf.ai.ascnf

Agent-State Cohomology Normal Form (ASCNF)

Contract ID: nf.ai.ascnf | Family: experimental | Index Status: draft | AuthorityEffect: None

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1. Executive Summary & Metadata

Agent-State Cohomology Normal Form (ASCNF) enforces structural normalization and explicit defect routing in the experimental regime.

Property	Value
Canonical ID	nf.ai.ascnf
Short Name	ASCNF
Full Name	Agent-State 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	draft
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 (ASCNF Candidate)	Anomaly risk: uncertified logic ; merges and contradictory agent ; narratives
2. Normalization / Gate	ASCNF Verification Gate	local agent reasoning... (certified_implies_authorized: false)
3. After / Certified Output	Certified ASCNF Output	Invariant: ; ['inference_fingerprint', ; 'c0_logic_potentials',...

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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.ai.ascnf
Pillar I: Excludes Anomaly	Name and eliminate a specific class of data or state defects.	uncertified logic merges and contradictory agent narratives
Pillar II: Preserves Invariant	State the structural invariant and protected skeleton preserved across transitions.	Invariant: local agent reasoning patches glue to a global section on overlap relative to declared boundary adapters and repair actions; potentials are defined modulo ker(d_0) Protected Skeleton: ['inference_fingerprint', 'c0_logic_potentials', 'c1_narrative_defects', 'd0_global_image']
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 support the logical truth of the agent's external claims
• does not govern execution speed or resource allocation
• does not imply authorization
• existence of potential alpha does not imply its uniqueness; potentials are defined modulo ker(d_0) and require a declared gauge selector for canonical representation
• exactness certifies repair relative only to the declared defect extraction adapter; it does not ensure under declared assumptions semantic preservation if the adapter omits protected state
• erased ephemeral memory is unsealed session scratchpad that does not alter verified semantics and is exempt from formal loss ledger tracking under the declared policy

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5. Operational Verification & Terminal Routing

5.1 Required Declarations

• cognitive_boundary: {'relations': ['agent_id', 'active_context'], 'attributes': ['confidence_score', 'entropy'], 'predicates': []}
• delta_program
• quotient_space: Q1 = C1 / im(d0)
• global_consensus_image

5.2 Required Evidence

• prior_global_state
• local_agent_patch
• logical_predicate_before_after
• collision_context

5.3 Validation Criteria

Criterion ID	Name	Condition
criterion	Check	cognitive boundary is declared before runtime orchestration
criterion	Check	boundary intersection (overlap between agents) is computed for each merge event
criterion	Check	defect maps to computable obstruction class in Q1
criterion	Check	merge allowed only when obstruction_class is exact zero [omega] == 0 equivalently omega = d0(alpha)
criterion	Check	nonzero contradiction terminalizes into a localized reasoning loop

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
MergeConsensus	Preserve
IsolateContradiction	Quarantine
Reevaluate	Repair
Serialize	Serialize
EmitToAutoPCompiler	Lift
ClosureFailure	ClosureFailure

5.5 Declared Failure Modes

• symptom: global state enters infinite loop resolving agent updates, diagnosis: defects do not commute; non-trivial cocycle detected, terminal: IsolateContradiction
• symptom: downstream AutoP compilation fails on syntax mapping, diagnosis: repair attempted without exact potential omega = d0 alpha, terminal: Reevaluate

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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.ai.ascnf (ASCNF) against its declared schema, boundary constraints, and witness obligations in this model.
   • Supports deterministic terminal routing (MergeConsensus, IsolateContradiction, Reevaluate, 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 uncertified logic merges and contradictory agent narratives is either excluded under local agent reasoning patches glue to a global section on overlap relative to declared boundary adapters and repair actions; potentials are defined modulo ker(d_0) 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.ai.ascnf.

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7. Canonical YAML Contract (contracts/nf.ai.ascnf.yaml)

Click to expand full canonical YAML contract (contracts/nf.ai.ascnf.yaml)

schema_version: smplx.nf.contract.v0
schema_ref: ./normal_form_contract_schema.yaml
contract_kind: normal_form_contract

identity:
  id: nf.ai.ascnf
  name: Agent-State Cohomology Normal Form
  short_name: ASCNF
  version: v0
  status: draft
  family: experimental
  theory_status: proposed
  contract_status: draft
  verification_status: absent

classification:
  hierarchy_level: normal_form
  subject_kind:
    - agent_context_relvar
    - inference_boundary
    - cognitive_nine_dot_boundary
  data_posture: in_motion
  mathematical_posture: operational

purpose:
  excludes_anomaly: uncertified logic merges and contradictory agent narratives
  preserves_invariant: local agent reasoning patches glue to a global section on overlap
    relative to declared boundary adapters and repair actions; potentials are defined
    modulo ker(d_0)
  protected_skeleton:
    - inference_fingerprint
    - c0_logic_potentials
    - c1_narrative_defects
    - d0_global_image
  erased_structure:
    - ephemeral_agent_memory
  non_claims:
    - does not support the logical truth of the agent's external claims
    - does not govern execution speed or resource allocation
    - does not imply authorization
    - existence of potential alpha does not imply its uniqueness; potentials are defined
      modulo ker(d_0) and require a declared gauge selector for canonical representation
    - exactness certifies repair relative only to the declared defect extraction adapter;
      it does not ensure under declared assumptions semantic preservation if the adapter omits protected state
    - erased ephemeral memory is unsealed session scratchpad that does not alter verified
      semantics and is exempt from formal loss ledger tracking under the declared policy

obstruction_substrate:
  finite_carrier:
    description: per-agent local reasoning patch; defects from overlapping narrative writes
    max_rank: null
  cochain_complex:
    C0: local_reasoning_potentials_alpha
    C1: narrative_merge_defects_omega
    C2: logical_contradiction_failures
    d0: maps local inference to global state defect
    d1: evaluates multi-agent consensus closure
    quotient: "Q1 = C1 / im(d0)"
  obstruction_class:
    notation: "[omega(e)]"
    exact: "[omega] == 0"
    residual_closed: "d1(omega) == 0 and [omega] != 0"
    open: "d1(omega) != 0"

declarations_required:
  - cognitive_boundary:
      relations: [agent_id, active_context]
      attributes: [confidence_score, entropy]
      predicates: []
  - delta_program
  - quotient_space: "Q1 = C1 / im(d0)"
  - global_consensus_image

evidence_required:
  - prior_global_state
  - local_agent_patch
  - logical_predicate_before_after
  - collision_context

validation_criteria:
  - cognitive boundary is declared before runtime orchestration
  - boundary intersection (overlap between agents) is computed for each merge event
  - defect maps to computable obstruction class in Q1
  - merge allowed only when obstruction_class is exact zero [omega] == 0 equivalently omega = d0(alpha)
  - nonzero contradiction terminalizes into a localized reasoning loop

proof_obligations:
  - id: ascnf.sheaf_gluing_exactness
    status: theorem_shaped

terminal_routes:
  - MergeConsensus
  - IsolateContradiction
  - Reevaluate
  - Serialize
  - EmitToAutoPCompiler
  - ClosureFailure

terminal_route_map:
  MergeConsensus: Preserve
  IsolateContradiction: Quarantine
  Reevaluate: Repair
  Serialize: Serialize
  EmitToAutoPCompiler: Lift
  ClosureFailure: ClosureFailure

certification:
  certificate_required: true
  certificate_kind: consensus_certificate
  obstruction_class_required: true
  loss_ledger_required: false
  loss_ledger_trigger_id: null
  verifier_required: true

authorization:
  authorized_by: null
  certified_implies_authorized: false

failure_modes:
  - symptom: global state enters infinite loop resolving agent updates
    diagnosis: defects do not commute; non-trivial cocycle detected
    terminal: IsolateContradiction
  - symptom: downstream AutoP compilation fails on syntax mapping
    diagnosis: repair attempted without exact potential omega = d0 alpha
    terminal: Reevaluate

definition:
  source: coda_all_universe/mssn_sn_tower/definitions.md
  formal_statement: >
    Under the declared cognitive boundary and defect extraction adapter, local agent
    reasoning patches admit consistent multi-agent consensus if and only if the narrative
    defect cochain omega in C^1 is exact under coboundary operator d_0 (omega = d_0 alpha).
    Potentials are unique up to ker(d_0). Non-exact closed cochains represent irreconcilable
    narrative contradictions requiring quarantine.
  quadrilateral:
    qualifies_as_true_normal_form: false
    qualification_gap: reconstruction_is_sheaf_gluing_not_a_relational_natural_join
    qualifies_as_extended_form: true
    anomaly_exclusion: uncertified logic merges and contradictory agent narratives
    lossless_join:
      status: sheaf_gluing
      statement: local reasoning patches agreeing on overlaps reconstruct a global state section
        relative to the declared adapter and gauge selector
    dependency_preservation:
      status: cocycle_condition_preserved
      statement: nilpotence of the consensus complex d1 d0 = 0 is preserved across agent boundaries
    syntactic_decision:
      status: transition_certificate
      statement: the obstruction class in Q1 is computable from declared boundary complexes,
        adapter definitions, and patch schemas