Hierarchy of functions | Computability theory

Grzegorczyk hierarchy

The Grzegorczyk hierarchy (/ɡrɛˈɡɔːrtʃək/, Polish pronunciation: [ɡʐɛˈɡɔrt͡ʂɨk]), named after the Polish logician Andrzej Grzegorczyk, is a hierarchy of functions used in computability theory. 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 levels of the hierarchy grow slower than functions in the higher levels. (Wikipedia).

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Related pages

Ordinal analysis | Fast-growing hierarchy | Iterated function | Primitive recursive function | Successor function | Natural number | Limit ordinal | Function (mathematics) | Closure (mathematics) | Function composition | Partition of a set | Transfinite number | Computability theory | Andrzej Grzegorczyk | Ordinal number | Tetration | ELEMENTARY