μ-recursive functions

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf class of computable functions
gptkbp:alsoKnownAs general recursive functions
mu-recursive functions
gptkbp:characterizedBy partial computable functions
gptkbp:definedIn musical composition
primitive recursion
minimization (μ-operator)
gptkbp:domain natural numbers
gptkbp:equivalentTo Turing computable functions
lambda computable functions
gptkbp:field gptkb:logic
computability theory
https://www.w3.org/2000/01/rdf-schema#label μ-recursive functions
gptkbp:includes primitive recursive functions
partial recursive functions
gptkbp:introduced gptkb:Thoralf_Skolem
gptkb:Rózsa_Péter
gptkbp:introducedIn 1930s
gptkbp:notation μ(n) for minimization operator
gptkbp:property can be partial or total
basis for formalizing algorithmic computability
defined by closure under certain operations
gptkbp:range natural numbers
gptkbp:relatedTo gptkb:lambda_calculus
Turing machines
primitive recursive functions
partial recursive functions
gptkbp:usedIn gptkb:Church–Turing_thesis
proof theory
theoretical computer science
gptkbp:bfsParent gptkb:General_Recursive_Functions_of_Natural_Numbers
gptkbp:bfsLayer 6