Definition of Arithmetical hierarchy

1. Noun. (logic) A classification of sets of natural numbers by the complexity of the formulas in the language of Peano arithmetic that define them, specifically by the number of alternations of A and E in the defining formula given the formula is in prenex normal form. ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Arithmetical Hierarchy

arithmatically
arithmetic
arithmetic function
arithmetic functions
arithmetic hierarchy
arithmetic logic unit
arithmetic logic units
arithmetic mean
arithmetic means
arithmetic operation
arithmetic operator
arithmetic progression
arithmetic series
arithmetic spiral
arithmetical
arithmetical hierarchy (current term)
arithmetical set
arithmetical sets
arithmetically
arithmetician
arithmeticians
arithmeticity
arithmetics
arithmomancy
arithmomania
arithmomanias
arithmometer
arithmometers
arithmophobia
arithomancy

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