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Arithmetical hierarchy
Noun
Definitions
1.
Noun
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.
Synonyms
arithmetic hierarchy
lévy hierarchy
kleene hierarchy
kleene-mostowski hierarchy
arithmetical set
second-order logic
monadic second-order logic
first-order logic
logical calculus
elaboration
atomic formula
quantale
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