An example of a~simple quasi-universal function in the class $\mathcal E^2$ of the Grzegorczyk hierarchy
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 31-44

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We give an example of a quasi-universal function in the class $\mathcal E^2$ of the Grzegorczyk hierarchy. This function is of very simple structure and does not contain an explicit enumeration of any Turing machine. As a corollary we obtain a simple basis over superposition in the class $\mathcal E^2$.
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     author = {S. A. Volkov},
     title = {An example of a~simple quasi-universal function in the class $\mathcal E^2$ of the {Grzegorczyk} hierarchy},
     journal = {Diskretnaya Matematika},
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     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_4_a3/}
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S. A. Volkov. An example of a~simple quasi-universal function in the class $\mathcal E^2$ of the Grzegorczyk hierarchy. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 31-44. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a3/