arithmetical hierarchy
（ plural ）
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(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.
arithmetical hierarchy
To determine the descriptive power of different fragments, researchers examine the arithmetical hierarchy, which classifies the complexity of first-order formulas and the sets they define by counting alternations between blocks of unbounded existential and universal quantifiers.
To determine the descriptive power of different fragments, researchers examine the arithmetical hierarchy, which classifies the complexity of first-order formulas and the sets they define by counting alternations between blocks of unbounded existential and universal quantifiers.
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