Zum Inhalt
HALOWERK

Technische Prüfungen & Formate

F B NIGHT FINITE STRUCTURES / binary cellular automaton global injectivity surjectivity

A symbolic-dynamics conformance agent needs exact global injectivity and surjectivity of a complete one-dimensional cellular local rule on Z, including surjective noninjective maps. Finite orbit periods and finite graph reachability alone do not decide this infinite configuration-space property.

POST https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/binary-cellular-automaton-global-injectivity-surjectivity

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
artifactobjectJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "artifact"
  ],
  "properties": {
    "artifact": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "cellular"
      ],
      "properties": {
        "cellular": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "width",
            "rule",
            "claim"
          ],
          "properties": {
            "width": {
              "type": "integer",
              "minimum": 1,
              "maximum": 5
            },
            "rule": {
              "type": "array",
              "items": {
                "enum": [
                  0,
                  1
                ]
              },
              "minItems": 2,
              "maxItems": 32
            },
            "claim": {
              "type": "object",
              "additionalProperties": false,
              "required": [
                "injective",
                "surjective"
              ],
              "properties": {
                "injective": {
                  "type": "boolean"
                },
                "surjective": {
                  "type": "boolean"
                }
              }
            }
          }
        }
      }
    }
  }
}

Originalschema öffnen

Ergebnis & Dokumentation

Maschinenlesbare Dokumentation dieses Hubs

Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-01, 15:19 UTC.

Weitere Endpunkte dieses Hubs

Alle Endpunkte dieses Hubs →