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formal context concept lattice

Given 0to5 objects and 0to5 attributes with a complete binary incidence matrix, construct all formal concepts (A,B) where A is exactly the objects sharing every attribute in B and B is exactly the attributes shared by every object in A. Empty-set derivation uses universal/vacuous truth. Return all extent/intent masks and ordered memberships, exact Hasse covers in extent-inclusion order, bottom and top. IDs sort by numeric intent mask; bit i names input index i. No object/attribute relabeling.

POST https://datenvertrag.halowerk.com/v1/formal-context-concept-lattice

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
object_countintegerJa
attribute_countintegerJa
incidenceSiehe SchemaJa
claimed_intentsSiehe SchemaJa
Vollständiges Eingabeschema anzeigen
{
  "$schema": "http://json-schema.org/draft-07/schema#",
  "type": "object",
  "additionalProperties": false,
  "required": [
    "object_count",
    "attribute_count",
    "incidence",
    "claimed_intents"
  ],
  "properties": {
    "object_count": {
      "type": "integer",
      "minimum": 0,
      "maximum": 5
    },
    "attribute_count": {
      "type": "integer",
      "minimum": 0,
      "maximum": 5
    },
    "incidence": {
      "anyOf": [
        {
          "type": "array",
          "maxItems": 5,
          "items": {
            "type": "array",
            "maxItems": 5,
            "items": {
              "type": "integer",
              "minimum": 0,
              "maximum": 1
            }
          }
        },
        {
          "type": "null"
        }
      ]
    },
    "claimed_intents": {
      "anyOf": [
        {
          "type": "array",
          "maxItems": 32,
          "items": {
            "type": "integer",
            "minimum": 0,
            "maximum": 31
          }
        },
        {
          "type": "null"
        }
      ]
    }
  }
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "object_count": 3,
  "attribute_count": 3,
  "incidence": [
    [
      1,
      0,
      0
    ],
    [
      0,
      1,
      0
    ],
    [
      0,
      0,
      1
    ]
  ],
  "claimed_intents": [
    0,
    1,
    2,
    4,
    7
  ]
}

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

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