{
  "status": "finite executable corroboration only; no formal verification",
  "arithmetic": {
    "local_domain": "M=1..8, Z=-80..80, every delta=-M..M",
    "local_cases": 12880,
    "maximum_allocations_per_monitor_step": 1,
    "example": "a^n b^n c^n; all abc words of length <=8, every prefix",
    "example_prefix_checks": 73812
  },
  "tail_clocks": {
    "unary_graphs": "all total t transitions and -1/0/1 outputs on 1..3 states",
    "initial_heights": [
      0,
      3,
      11
    ],
    "tail_length": 80,
    "cases": 6786,
    "positive_separator_examples": [
      {
        "nesting": 0,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 0,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 1,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 1,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 2,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 2,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 3,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 3,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 4,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 4,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 5,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 5,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 6,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 6,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 7,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 7,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 8,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 8,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 9,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 9,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 10,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 10,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 11,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 11,
        "mode": 0,
        "tail_height": 0
      },
      {
        "nesting": 12,
        "mode": 1,
        "tail_height": 25
      },
      {
        "nesting": 12,
        "mode": 0,
        "tail_height": 0
      }
    ]
  },
  "separator_collisions": {
    "unary_identity": "f^s=f^(s+s!), all functions on s=1..5 states",
    "unary_start_cases": 16739,
    "two_state_four_letter_tables": 256,
    "example_K1": "aabbccdd",
    "example_K0": "aaaabbccdddd",
    "unrestricted_claim": "proved algebraically in the note, not by this enumeration"
  },
  "not_implemented": [
    "BFG-to-VPA reduction",
    "VPA determinization",
    "general separator synthesis",
    "Presburger quantifier elimination",
    "general scaffold compiler",
    "unrestricted clock synthesis"
  ]
}