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Simple set

In computability theory, a subset of the natural numbers is called simple if it is computably enumerable (c.e.) and co-infinite (i.e. its complement is infinite), but every infinite subset of its complement is not c.e.. Simple sets are examples of c.e. sets that are not computable.

Relation to Post's problem & Overview

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Explore the main themes, entities and connections around Simple set. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Relation to Post's problem

Advanced semantic analysis

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Map overview Semantic statistics

Simple set

Nodes14
Edges13
Triples15
Avg. degree1.86
Density0.142857
Components1

How this topic connects Entity context

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Simple set

Top relations

related to Relation to Post's problem · 11
Simple set → Emil Leon Post, Friedberg, He, Muchnik, Post, Post's, Simple, They, Turing-complete, Turing-reduce, Whether
related to Formal definitions and some properties · 4
Simple set → Every, In, Or, Turing-complete

Important terminology Word statistics

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Important terminology

simple set sets called displaystyle subseteq mathbb infinite complement every subset problem computable immune effectively theory computably isbn zbl post's

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Simple setrelated to Formal definitions and some propertiesIn0.60section
Simple setrelated to Formal definitions and some propertiesOr0.60section
Simple setrelated to Formal definitions and some propertiesEvery0.60section
Simple setrelated to Formal definitions and some propertiesTuring-complete0.60section
Simple setrelated to Relation to Post's problemSimple0.60section
Simple setrelated to Relation to Post's problemEmil Leon Post0.60section
Simple setrelated to Relation to Post's problemTuring-complete0.60section
Simple setrelated to Relation to Post's problemWhether0.60section
Simple setrelated to Relation to Post's problemPost's0.60section
Simple setrelated to Relation to Post's problemPost0.60section
Simple setrelated to Relation to Post's problemTuring-reduce0.60section
Simple setrelated to Relation to Post's problemHe0.60section

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    Min side: 3
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