Exercises
[04B]Consider the set \(β ^β\) of functions \(f:βββ\); and the subset \(\mathcal A\) of \(f\) of functions that can be defined using an algorithm, written in a programming language of your choice (also assuming that the computer that is running this algorithm has potentially unlimited memory) and such that for each choice \(nββ\) in input the algorithm must finish and return \(f(n)\). Compare the cardinalities of \(β ^β\) and \(\mathcal A\).
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