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Sudan function : ウィキペディア英語版
Sudan function
In the theory of computation, the Sudan function is an example of a function that is recursive, but not primitive recursive. This is also true of the better-known Ackermann function. The Sudan function was the first function having this property to be published.
It was discovered (and published〔Bull. Math. Soc. Roumaine Sci. 30 (1927), 11 - 30; Jbuch 53, 171〕) in 1927 by Gabriel Sudan, a Romanian mathematician who was a student of David Hilbert.
==Definition==
:F _0 (x, y) = x+y,\,
:F _ (x, 0) = x, \ n \ge 0\,
:F _ (x, y+1) = F _n (F_ (x, y), F_ (x, y) + y + 1), \ n\ge 0.\,

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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