Grzegorczyk Hierarchy

The Grzegorczyk hierarchy (pronounced: ), named after the Polish logician Andrzej Grzegorczyk, is a hierarchy of functions used in computability theory (Wagner and Wechsung 1986:43). Every function in the Grzegorczyk hierarchy is a primitive recursive function, and every primitive recursive function appears in the hierarchy at some level. The hierarchy deals with the rate at which the values of the functions grow; intuitively, functions in lower level of the hierarchy grow slower than functions in the higher levels.

Read more about Grzegorczyk Hierarchy:  Definition, Properties, Relation To Primitive Recursive Functions, Extensions

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