{
  "status": "passed",
  "regular_certificate": {
    "regular_invariant": {
      "grow": "A*",
      "fall": "A*",
      "yes": "X*",
      "no": "X*A+",
      "dead": "X*A*"
    },
    "closure_obligations": 66,
    "realizable_cells": 12,
    "abstract_groups": 8,
    "certificate": "passed using DFA emptiness, without a depth cutoff",
    "invalid_singleton_log_invariant": "rejected as required",
    "trace_words_max_length": 7,
    "trace_words_checked": 21845,
    "raw_spread_example_j": [
      0,
      12
    ]
  },
  "delayed_pop_negative": {
    "certificate": "rejected as required",
    "pop_witness": {
      "kind": "signatures",
      "control": "q",
      "top": "A",
      "input": "r",
      "witnesses": [
        [
          "q",
          [
            "A"
          ]
        ],
        [
          "q",
          [
            "X",
            "A"
          ]
        ]
      ],
      "signatures": [
        [
          [
            "q",
            "pop"
          ]
        ],
        [
          [
            "q",
            "keep"
          ]
        ]
      ]
    },
    "distinguishing_suffix": "rt"
  },
  "semantic_but_nonlocal_negative": {
    "reachable_configurations": 7,
    "projection_injective": true,
    "one_top_certificate": "rejected as required",
    "witness": {
      "kind": "signatures",
      "control": "q",
      "top": "A",
      "input": "z",
      "witnesses": [
        [
          "q0",
          [
            "A",
            "B0"
          ]
        ],
        [
          "q1",
          [
            "A",
            "B1"
          ]
        ]
      ],
      "signatures": [
        [
          [
            "e0",
            "push:C0"
          ]
        ],
        [
          [
            "e1",
            "push:C1"
          ]
        ]
      ]
    }
  },
  "persistent_filtered_access": {
    "operation_alphabet": [
      "push A",
      "push B",
      "push X",
      "pop",
      "keep"
    ],
    "all_sequences_through_length": 7,
    "retained_snapshots": 97656,
    "allocations": 58593,
    "max_allocations_per_update": 1,
    "full_and_filtered_decoders": "passed before and after all branches"
  },
  "assurance": "Executable finite-automaton certificates and finite trace audits; no proof assistant.",
  "not_implemented": [
    "general pushdown post* saturation",
    "VPA determinization",
    "bounded-spread checker",
    "scaffold compiler"
  ]
}