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cylindric numbering : ウィキペディア英語版
cylindric numbering

In computability theory a cylindric numbering is a special kind of numbering first introduced by Yuri L. Ershov in 1973.
If a numberings \nu is reducible to \mu then there exists a computable function f with \nu = \mu \circ f. Usually f is not injective but if \mu is a cylindric numbering we can always find an injective f.
== Definition ==

A numbering \nu is called cylindric if
:\nu \equiv_1 c(\nu).
That is if it is one-equivalent to its cylindrification
A set S is called cylindric if its indicator function
:1_S: \mathbb \to \
is a cylindric numbering.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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