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Dictionary

Words, grammatical forms and meanings linked to the ontology.

Lévy hierarchy en · PROPN

Etymology

Introduced by Azriel Lévy in 1965.

Meanings

  1. 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 Δ₀=Σ₀=Π₀. 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.

Forms

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the Lévy hierarchy canonical lexicographic