metadata:
  version: "1.0.0"
  author: "Sovereign AI Stack"
  description: "Batch operations contract for model registry bulk model management"
  crate: "pacha"
  references:
    - "Dean et al. (2012) Large Scale Distributed Deep Networks, NIPS"

equations:
  batch_register:
    formula: "batch_register(models) = [register(m_i) for m_i in models]"
    domain: "models in Vec<Model>, |models| >= 1"
    invariants:
      - "Output count equals input count"
      - "Each model gets a unique identifier"
      - "No partial failures leave inconsistent state"
  batch_predict:
    formula: "batch_predict(inputs, model) = [model.predict(x_i) for x_i in inputs]"
    domain: "inputs in Vec<Tensor>, |inputs| >= 1"
    invariants:
      - "Output batch size equals input batch size"
      - "Each output has same shape as single predict"
  batch_evaluate:
    formula: "batch_evaluate(models, dataset) = [(m_i, metric(m_i, dataset)) for m_i in models]"
    domain: "models in Vec<Model>, |dataset| >= 1"
    invariants:
      - "All models evaluated against same dataset"
      - "Metrics are comparable across batch"

proof_obligations:
  - type: invariant
    property: "Batch output count preservation"
    formal: "|batch_op(inputs)| == |inputs|"
    applies_to: all
  - type: invariant
    property: "Unique identifiers in batch register"
    formal: "forall i != j: batch_register(models)[i].id != batch_register(models)[j].id"
    applies_to: all
  - type: invariant
    property: "Batch atomicity"
    formal: "batch_register either succeeds fully or rolls back completely"
    applies_to: all

falsification_tests:
  - id: FALSIFY-BATCHOP-001
    rule: "Output count preservation"
    test: "test_register_and_get_model"
    prediction: "verified"
    if_fails: "Batch drops or duplicates entries"
  - id: FALSIFY-BATCHOP-002
    rule: "Unique identifiers"
    test: "test_register_duplicate_model_fails"
    prediction: "verified"
    if_fails: "ID generator produces collisions"
  - id: FALSIFY-BATCHOP-003
    rule: "Batch atomicity"
    test: "test_model_artifact_roundtrip"
    prediction: "verified"
    if_fails: "Partial state left on batch failure"

kani_harnesses:
  - id: KANI-BATCHOP-001
    obligation: PO-BATCHOP-001
    property: "Batch count preservation"
    bound: 8
    strategy: bounded_int
    harness: verify_batch_count
  - id: KANI-BATCHOP-002
    obligation: PO-BATCHOP-002
    property: "Unique identifiers"
    bound: 8
    strategy: bounded_int
    harness: verify_unique_ids

qa_gate:
  id: QA-BATCHOP
  name: "batch operations contract"
  min_coverage: 0.90
  max_complexity: 20
  required_tests:
    - test_register_and_get_model
    - test_register_duplicate_model_fails
    - test_model_artifact_roundtrip
