arithmetic hierarchy

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf mathematical hierarchy
gptkbp:basisFor quantifier alternation in first-order arithmetic
gptkbp:characterizedBy arithmetical sets
gptkbp:describes classification of decision problems
gptkbp:field gptkb:logic
recursion theory
https://www.w3.org/2000/01/rdf-schema#label arithmetic hierarchy
gptkbp:introduced gptkb:Kurt_Gödel
gptkbp:level Π_n^0
Σ_n^0
gptkbp:lowerAward recursive sets
gptkbp:relatedTo analytical hierarchy
polynomial hierarchy
gptkbp:studiedIn gptkb:logic
theory of computation
gptkbp:usedIn gptkb:descriptive_set_theory
computability theory
gptkbp:bfsParent gptkb:second-order_arithmetic
gptkbp:bfsLayer 7