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Computable function

Computable functions are the basic objects of study in computability theory. Informally, a function is computable if there is an algorithm that computes the value of the function for every value of its argument. Because of the lack of a precise definition of the concept of algorithm, every formal definition of computability must refer to a specific model…

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Overview

Definition

Characteristics of computable functions

Computable sets and relations

Formal languages

Examples

Church–Turing thesis

Provability

Uncomputable functions and unsolvable problems

Extensions of computability

Advanced semantic analysis

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Map overview Semantic statistics

Computable function

Nodes88
Edges87
Triples49
Avg. degree1.98
Density0.022727
Components1

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Computable function

Top relations

related to Uncomputable functions and unsolvable problems · 8
Computable function → Busy, Chaitin's, Concrete, Every, For, Furthermore, Kolmogorov, The
related to Church–Turing thesis · 7
Computable function → Because, Church, Many, No, The, The Church, Turing
related to Definition · 6
Computable function → As, Computability, In, One, The, With
related to Total functions that are not provably total · 6
Computable function → If, In, One, Peano, Such, Turing
related to Formal languages · 5
Computable function → An, For, In, Some, Thus
related to Relative computability · 5
Computable function → A-computable, As, The, This, We
related to Characteristics of computable functions · 4
Computable function → Enderton, Rogers, The, Turing
related to Hyper-computation · 4
Computable function → Although, Church, The, Turing
related to Computable sets and relations · 2
Computable function → The, Thus
see also · 1
Computable function → Computable

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Important terminology

computable function functions procedure turing set numbers computation computability natural algorithm every finite theory number recursive value defined given must

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
a Turing machine or a register machineinstance ofcomputable functions can be formalized as functions that can be calculated by an idealized computing agent0.80text
Computable functionrelated to Characteristics of computable functionsThe0.60section
Computable functionrelated to Characteristics of computable functionsEnderton0.60section
Computable functionrelated to Characteristics of computable functionsTuring0.60section
Computable functionrelated to Characteristics of computable functionsRogers0.60section
Computable functionrelated to Church–Turing thesisThe Church0.60section
Computable functionrelated to Church–Turing thesisTuring0.60section
Computable functionrelated to Church–Turing thesisBecause0.60section
Computable functionrelated to Church–Turing thesisChurch0.60section
Computable functionrelated to Church–Turing thesisThe0.60section
Computable functionrelated to Church–Turing thesisMany0.60section
Computable functionrelated to Church–Turing thesisNo0.60section

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