arithmetic hierarchy

A form of arithmetical hierarchy — 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.

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Meanings

nounarithmetic hierarchy (plural arithmetic hierarchies)

plural arithmetic hierarchies

  1. alternativehuman sciencesAlternative form of arithmetical hierarchy.

Synonyms & antonyms

Also see
arithmetical hierarchy
Cite this entry
APA

arithmetic hierarchy. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/arithmetic%20hierarchy

MLA

“arithmetic hierarchy.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/arithmetic%20hierarchy. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “arithmetic hierarchy,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/arithmetic%20hierarchy.

Source: arithmetic hierarchy on Wiktionary, CC BY-SA 4.0.