Most scientific & mathematical disciplines I know of have results that educated outsiders can appreciate and go "wow" after a brief acquaintance, even without understanding the details. Does anyone know of such a result for category theory?
I have no idea about either of these. Can you briefly explain what they are and why they're really interesting?
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Recursion schemes classify some types of recursion and let you abstract them away in code. Possibly recognizing them and optimizing away. The latter is rather cool too, see http://www.cs.cornell.edu/~ross/publications/proofgen/proofgen_tate_popl10.pdf …
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Essentially, you can take an example of an optimization, generalize it, prove that the generalization holds, and implement it, all automatically (as far as I understand)
End of conversation
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