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After reading about Ackermann functions , tetration and similar, I considered the commutative following hyperoperator ?
$$ F(0,a,b) = a + b $$
$$ F(n,c,0) = F(n,0,c) = c $$
$$ F(n,a,b) = F(n-1,F(n,a-1,b),F(n,a,b-1)) $$
I have not seen this one before in any official papers.
Why is this not con...