An example of general recursive well-ordering which is not primitive recursive
Liu, Shih-chao
Tohoku Math. J. (2), Tome 12 (1960) no. 3, p. 233-234 / Harvested from Project Euclid
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Publié le : 1960-05-14
Classification:  02.70 
@article{1178244438,
     author = {Liu, Shih-chao},
     title = {An example of general recursive well-ordering which is not primitive recursive},
     journal = {Tohoku Math. J. (2)},
     volume = {12},
     number = {3},
     year = {1960},
     pages = { 233-234},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178244438}
}

Liu, Shih-chao. An example of general recursive well-ordering which is not primitive recursive. Tohoku Math. J. (2), Tome 12 (1960) no. 3, pp.  233-234. http://gdmltest.u-ga.fr/item/1178244438/