"arithmetical hierarchy" meaning in English

See arithmetical hierarchy in All languages combined, or Wiktionary

Noun

Forms: arithmetical hierarchies [plural]
Head templates: {{en-noun}} arithmetical hierarchy (plural arithmetical hierarchies)
  1. (logic) A hierarchy which classifies the complexity of first-order formulae (and sets defined by them) based on the number of alternations between series of unbounded existential quantifiers and universal quantifiers. Wikipedia link: arithmetical hierarchy Categories (topical): Logic Synonyms: arithmetic hierarchy, Kleene hierarchy, Kleene-Mostowski hierarchy Translations (Translations): aritmeettinen hierarkia (Finnish), arithmetische Hierarchie [feminine] (German), hierarchia arytmetyczna [feminine] (Polish)

Inflected forms

Alternative forms

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          "first-order",
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        [
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        [
          "set",
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        ],
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        [
          "series",
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          "unbounded",
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        }
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    }
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    },
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      ],
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    }
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}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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