Geodesic
Computable families of finite-valued computable functions
The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 58-64

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We prove that the index sets of all computable families of computable functions are presentable by the index sets of computable families of finite-valued computable functions.
Keywords: index set; computable function. 
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     author = {Yu. D. Korolkov},
     title = {Computable families of finite-valued computable functions},
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Yu. D. Korolkov. Computable families of finite-valued computable functions. The Bulletin of Irkutsk State University. Series Mathematics, Tome 3 (2010) no. 4, pp. 58-64. http://geodesic.mathdoc.fr/item/IIGUM_2010_3_4_a6/