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Computably enumerable set

In computability theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable, provable or Turing-recognizable if:

Art, The lattice of recursively enumerable sets & Examples

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Examples

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The lattice of recursively enumerable sets

Remarks

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Computably enumerable set

Nodes54
Edges53
Triples24
Avg. degree1.96
Density0.037037
Components1

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Computably enumerable set

Top relations

related to Examples · 11
Computably enumerable set → Any, Cantor, Diophantine, Every, For, Given, Gödel, Matiyasevich's, The, This, Turing
related to Properties · 6
Computably enumerable set → Cantor, Equivalently, If, Pi, RE, The
related to Remarks · 6
Computably enumerable set → According, Church, Other, The, This, Turing
is a · 1
Computably enumerable set → Diophantine set

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Important terminology

enumerable set computably computable sets function recursively lattice displaystyle algorithm theory natural numbers used definition partial range input maximal also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Computably enumerable setis aDiophantine set0.90text
Computably enumerable setrelated to ExamplesEvery0.60section
Computably enumerable setrelated to ExamplesFor0.60section
Computably enumerable setrelated to ExamplesThe0.60section
Computably enumerable setrelated to ExamplesMatiyasevich's0.60section
Computably enumerable setrelated to ExamplesDiophantine0.60section
Computably enumerable setrelated to ExamplesAny0.60section
Computably enumerable setrelated to ExamplesGiven0.60section
Computably enumerable setrelated to ExamplesGödel0.60section
Computably enumerable setrelated to ExamplesCantor0.60section
Computably enumerable setrelated to ExamplesThis0.60section
Computably enumerable setrelated to ExamplesTuring0.60section

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