Concept explainers
sider the Mowing inductive definition of a version ofAekermann's function.This function was named after ttilhelm Ackerniann, a German
mathematician who was a student of the great mathematician David Hilbert. Aekermann's function plays an important role in the theory of recursive functions
and in the study of the complexity of certain algorithms involving set unions. [There are several different variants of this function. All are called Aekermann's
function and have similar properties even though their values do not always agree.)
Exercises 50-57 involve this version of Aekermann's function.
Page3Sl
& 55- Prove thatA(m,n+1) >A(m?n)whenever mand narenonriegative integers.
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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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