Category:Definitions/Ackermann-Péter Function
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This category contains definitions related to Ackermann-Péter Function.
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The Ackermann-Péter function $A: \Z_{\ge 0} \times \Z_{\ge 0} \to \Z_{> 0}$ is an integer-valued function defined on the set of ordered pairs of positive integers as:
- $\map A {x, y} = \begin{cases} y + 1 & : x = 0 \\
\map A {x - 1, 1} & : x > 0, y = 0 \\ \map A {x - 1, \map A {x, y - 1} } & : \text{otherwise} \end{cases}$
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