Slow-growing hierarchy

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The slow-growing hierarchy is a hierarchy like the Fast-growing hierarchy, though this group of functions are slow-growing. It is defined as follows:

\(g_0(n)=0 \\ g_{\alpha+1}(n)=g_\alpha(n)+1\)

\(g_\alpha(n)=g_{\alpha[n]}(n)\) if and only if \(\alpha\) is a limit ordinal.


Values

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