Kleene's O
id:
kleene-s-o-292-3780377
title:
Kleene's O
text:
In set theory and computability theory, Kleene's O is a canonical subset of the natural numbers when regarded as ordinal notations. It contains ordinal notations for every computable ordinal, that is, ordinals below Church–Kleene ordinal, ω 1 CK . Since ω 1 CK is the first ordinal not representable in a computable system of ordinal notations the elements of O can be regarded as the canonical ordinal notations. Kleene (1938) described a system of notation for all computable ordinals. It uses a su
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Kleene%27s_O
date created:
date modified:
2024-03-11T20:32:58Z
main entity:
{"identifier":"Q6420083","url":"https://www.wikidata.org/entity/Q6420083"}
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fields total:
13
integrity:
13