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Detonation refers to the binary function $$a\ \{\{\{\{1\}\}\}\}\ b = \{a,b,1,4\}$$, using BEAF.[1]

In the fast-growing hierarchy, $$f_{\omega3+1}(n)$$ is approximately comparable to the growth rate of detonation.

In chained arrow notation, $$a \rightarrow a \rightarrow a \rightarrow a \rightarrow b$$ expands similarly to $$a\{\{\{\{1\}\}\}\} b$$.