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binary automaton reset word ledger

Given the original total binary transition table of a deterministic automaton with 1..4 states, reconstruct every reachable state subset and labelled transition, the minimum reset-word length, the exact number of shortest binary words, the lexicographically first word and its full image trace. Distinct symbol words remain distinct when they reach the same subset. A one-state automaton resets by the empty word. Claim -1 means no reset word; null claim or missing table remains unknown. Claim.

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Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
statesintegerJa
transitionsSiehe SchemaJa
claimed_lengthSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "states",
    "transitions",
    "claimed_length"
  ],
  "properties": {
    "states": {
      "type": "integer",
      "minimum": 1,
      "maximum": 4
    },
    "transitions": {
      "anyOf": [
        {
          "type": "array",
          "minItems": 1,
          "maxItems": 4,
          "items": {
            "type": "array",
            "minItems": 2,
            "maxItems": 2,
            "items": {
              "type": "integer",
              "minimum": 0,
              "maximum": 3
            }
          }
        },
        {
          "type": "null"
        }
      ]
    },
    "claimed_length": {
      "anyOf": [
        {
          "type": "integer",
          "minimum": -1,
          "maximum": 14
        },
        {
          "type": "null"
        }
      ]
    }
  }
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "states": 4,
  "transitions": [
    [
      1,
      1
    ],
    [
      1,
      2
    ],
    [
      2,
      3
    ],
    [
      3,
      0
    ]
  ],
  "claimed_length": 9
}

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Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.

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