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F NIGHT ECMA / term rewrite variable apart critical pairs

A symbolic term-rewriting test agent needs the complete finite set of critical overlap equation pairs and its claimed cardinality from supplied first-order rewrite rules, including variable renaming apart and occurs-check rejection. Not a supplied rewrite-state relation or unification-only question.

POST https://detect.halowerk.com/v1/F-NIGHT-ECMA/term-rewrite-variable-apart-critical-pairs

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
artifactobjectJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "artifact"
  ],
  "properties": {
    "artifact": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "critical_pairs"
      ],
      "properties": {
        "critical_pairs": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "rules",
            "claim"
          ],
          "properties": {
            "rules": {
              "type": "array",
              "maxItems": 4,
              "items": {
                "type": "array",
                "minItems": 2,
                "maxItems": 2,
                "items": true,
                "prefixItems": [
                  {
                    "$ref": "#/properties/artifact/definitions/term"
                  },
                  {
                    "$ref": "#/properties/artifact/definitions/term"
                  }
                ]
              }
            },
            "claim": {
              "type": "integer",
              "minimum": 0,
              "maximum": 64
            }
          }
        }
      },
      "definitions": {
        "term": {
          "anyOf": [
            {
              "type": "array",
              "minItems": 2,
              "maxItems": 2,
              "items": true,
              "prefixItems": [
                {
                  "const": 0
                },
                {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 7
                }
              ]
            },
            {
              "type": "array",
              "minItems": 2,
              "maxItems": 5,
              "items": {
                "$ref": "#/properties/artifact/definitions/term"
              },
              "prefixItems": [
                {
                  "const": 1
                },
                {
                  "type": "integer",
                  "minimum": 0,
                  "maximum": 7
                }
              ]
            }
          ]
        }
      }
    }
  }
}

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

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