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Multiexplosion refers to the binary function $$a \{\{\{2\}\}\} b = \{a,b,2,3\} = \underbrace{a \{\{\{1\}\}\} a \{\{\{1\}\}\} \ldots \{\{\{1\}\}\} a \{\{\{1\}\}\} a}_b$$, using BEAF.[1]

In the fast-growing hierarchy, $$f_{\omega2+2}(n)$$ approximately corresponds to multiexplodal growth rate.

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