β„•πŸͺœ:ΒΉ

#kleene hierarchy #arithmetical hierarchy #quantifier alternation #computability #mathematical logic #complexity classes #βˆƒ #βˆ€ #natural numbers

πŸ’»β°(βœ…)β†’πŸ’»ΒΉ(❓)β†’πŸ’»Β²(πŸ€―β“)β†’...

#kleene hierarchy #computability theory #decidability #undecidability #halting problem #recursive sets #recursively enumerable sets #turing machine #complexity increase

πŸ“Άβ„•[⁰→¹→²→...]

#kleene hierarchy #arithmetical hierarchy #levels of complexity #mathematical structure #computability

πŸ’»β†’πŸ’»βŠ•πŸͺ™

#kleene hierarchy #turing jump #oracle machine #computability theory #relative computability #degrees of unsolvability #recursion theory #βˆ…' #halting problem oracle

Σ⁰ₙΠ⁰ₙΔ⁰ₙπŸͺœβ†’Σ⁰₁Π⁰₁Δ⁰₁πŸͺœβ†’Σ⁰₂...

#kleene hierarchy #arithmetical hierarchy #computability theory #recursion theory #Οƒ0n #Ο€0n #Ξ΄0n #quantifier complexity #levels of complexity