{
  "schema": "covert-channel-lab/coverage-checks-v1",
  "scope": "Exact finite counterexamples and an unfilled deployment worksheet; no physical qualification.",
  "counterexamples": [
    {
      "id": "CK-01",
      "claim_id": "cc2_joint_marginals_suffice",
      "outcome": "REFUTED",
      "claim": "Secret-independent marginal observations imply a secret-independent joint observation.",
      "witness": [
        {
          "secret": 0,
          "outcomes": [
            {
              "pair": [
                0,
                0
              ],
              "probability": "1/2"
            },
            {
              "pair": [
                1,
                1
              ],
              "probability": "1/2"
            }
          ]
        },
        {
          "secret": 1,
          "outcomes": [
            {
              "pair": [
                0,
                1
              ],
              "probability": "1/2"
            },
            {
              "pair": [
                1,
                0
              ],
              "probability": "1/2"
            }
          ]
        }
      ],
      "lesson": "Each coordinate is uniform for either secret. The XOR of the observed pair recovers the secret exactly."
    },
    {
      "id": "CK-02",
      "claim_id": "cc2_formatting_removes_semantics",
      "outcome": "REFUTED",
      "claim": "Whitespace normalization and equal output lengths remove all discretionary output channels.",
      "witness": {
        "authorized_numeric_answer": 42,
        "accepted_variants": [
          "Answer: 42.",
          "Result: 42."
        ],
        "normalized_outputs": [
          "Answer: 42.",
          "Result: 42."
        ],
        "same_length": true
      },
      "lesson": "A one-bit choice remains between accepted headers. Canonical release must remove every unauthorized choice, including semantic alternatives."
    },
    {
      "id": "CK-03",
      "claim_id": "cc2_shutdown_is_optimal_useful",
      "outcome": "REFUTED",
      "claim": "A silent shutdown is feasible under a strictly positive service floor.",
      "witness": {
        "abstract_shutdown_trace": [],
        "service": 0,
        "minimum_service": 1,
        "feasible": false
      },
      "lesson": "Require useful service in the optimization contract. This is an abstract example, not a claim that powered-off hardware cannot leak."
    },
    {
      "id": "CK-04",
      "claim_id": "cc2_cost_independent_optimum",
      "outcome": "REFUTED",
      "claim": "The same abstract plan minimizes every positive resource-cost weighting.",
      "witness": {
        "illustrative_vectors": {
          "A": [
            1,
            5
          ],
          "B": [
            4,
            1
          ]
        },
        "scenarios": [
          {
            "weights": [
              1,
              1
            ],
            "costs": {
              "A": 6,
              "B": 5
            },
            "unique_optimum": "B"
          },
          {
            "weights": [
              5,
              1
            ],
            "costs": {
              "A": 10,
              "B": 21
            },
            "unique_optimum": "A"
          }
        ],
        "scope": "Counterexample to a cost-independent optimizer over all positive weightings. No hardware optimum is inferred."
      },
      "lesson": "Even with fixed security and utility premises, changing the objective can change the optimum."
    }
  ],
  "deployment_assessment": {
    "status": "UNDETERMINED",
    "optimal_configuration": null,
    "deployment_qualified": false,
    "missing_inputs": [
      "authorized_tasks",
      "canonical_release",
      "observers.coalitions",
      "observers.allowed_locations_and_minimum_distance",
      "observers.sensors_bandwidth_precision_and_side_information",
      "observers.observation_horizon",
      "utility.minimum_service",
      "utility.maximum_public_latency",
      "cost_model",
      "configuration_space",
      "physical_envelope",
      "inventory_complete",
      "joint_observation_refinement",
      "implementation_refinement",
      "physical_validation"
    ],
    "scope": "Worksheet completeness only. Populated declarations do not prove channel closure or global optimality."
  }
}