"Kleene fixed-point theorem" meaning in English

{
  "etymology_text": "Named after American mathematician Stephen Cole Kleene.",
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    {
      "form": "the Kleene fixed-point theorem",
      "tags": [
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  "lang_code": "en",
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      "glosses": [
        "Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f."
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        [
          "Scott-continuous",
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          "monotone",
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        [
          "function",
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        [
          "supremum",
          "supremum"
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      "raw_glosses": [
        "(mathematics) Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f."
      ],
      "synonyms": [
        {
          "word": "Kleene's fixed-point theorem"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Kleene fixed-point theorem"
}

{
  "etymology_text": "Named after American mathematician Stephen Cole Kleene.",
  "forms": [
    {
      "form": "the Kleene fixed-point theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
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  "lang_code": "en",
  "pos": "name",
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      "glosses": [
        "Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f."
      ],
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        [
          "Scott-continuous",
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          "monotone",
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          "function",
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          "supremum",
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      "raw_glosses": [
        "(mathematics) Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Kleene's fixed-point theorem"
    }
  ],
  "word": "Kleene fixed-point theorem"
}