On the complexity of the $\mathscr E^2$ Grzegorczyk class
Diskretnaya Matematika, Tome 22 (2010) no. 1, pp. 5-16

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We define several abstract computing devices which allow us to characterise the $\mathscr E^2$ class of the Grzegorczyk hierarchy. For each of these devices, we estimate the time needed to compute functions of the class $\mathscr E^2$.
@article{DM_2010_22_1_a1,
     author = {S. S. Marchenkov},
     title = {On the complexity of the $\mathscr E^2$ {Grzegorczyk} class},
     journal = {Diskretnaya Matematika},
     pages = {5--16},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_1_a1/}
}
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S. S. Marchenkov. On the complexity of the $\mathscr E^2$ Grzegorczyk class. Diskretnaya Matematika, Tome 22 (2010) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/DM_2010_22_1_a1/