Maximal set

id: maximal-set-275-11134518
title: Maximal set
text: In recursion theory, the mathematical theory of computability, a maximal set is a coinfinite recursively enumerable subset A of the natural numbers such that for every further recursively enumerable subset B of the natural numbers, either B is cofinite or B is a finite variant of A or B is not a superset of A. This gives an easy definition within the lattice of the recursively enumerable sets. Maximal sets have many interesting properties: they are simple, hypersimple, hyperhypersimple and r-max
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original url: https://en.wikipedia.org/wiki/Maximal_set
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date modified: 2024-01-18T21:36:26Z
main entity: {"identifier":"Q6795644","url":"https://www.wikidata.org/entity/Q6795644"}
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