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Lévy hierarchy

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English Etymology Introduced by Azriel Lévy in 1965. Proper noun 1 en set theory logic A hierarchy of formulas in the formal language of the Zermelo-Fraenkel set theory. Its first level contains only formulas with no unbounded quantifiers and is denoted by . Subsequent levels are given by finding a formula in prenex normal form which is provably equivalent over ZFC, and counting the number of changes of quantifiers. en eponyms