Every time I spend a lot of thought on a problem I always go back to F-Algebras and F-CoAlgebras.
replyMost recursion is through fold and unfold
Folding 'fold' into contortions to use it as a generic List iterator does not "provide clarity".
replyIn functional programming, there is no "generic list iterator", though. It matters what the output is, whether you need to look at the value of previous iterations, etc.
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