Geodesic
An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part VII, Tome 60 (1976), pp. 3-14

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A class of abstract computing machines is described. It is proved that the class of all functions computable by these machines coincides with the class $\varepsilon^1$ of Grzegorczyk's hierarchy. 
@article{ZNSL_1976_60_a0,
     author = {A. P. Beltiukov},
     title = {An iterative description of the class $\varepsilon^1$ of {Grzegorczyk's} hierarchy},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {60},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_60_a0/}
}
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A. P. Beltiukov. An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part VII, Tome 60 (1976), pp. 3-14. http://geodesic.mathdoc.fr/item/ZNSL_1976_60_a0/