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For question borderline with, or having application to, computer science. Consider also posting http://cs.stackexchange.com/ or http://cstheory.stackexchange.com/ instead of here, if appropriate.
10
votes
Computer science for mathematicians
I guess I've managed to take some of the path you want. My training was as a mathematician but over the last few years I've learnt a lot about theoretical computer science. (I've programmed for many y …
6
votes
What are the limits of non-halting?
Total functional programming allows considerable freedom to program with a guarantee of termination. You don't get unbounded loops but you can still use structural recursion.
Such a computer would be …
6
votes
Prove a function is primitive recursive
A conceptually simple test for whether a function is primitive recursive is whether or not you can write it in Bloop.
The crucial point is that the loop control flow structure forces you to say in ad …
6
votes
does the "convolution theorem" apply to weaker algebraic structures?
You can do infimal convolution using the Legendre transform. You can certainly implement a reasonably fast algorithm for infimal convolution of convex piecewise linear functions though I don't know ab …
92
votes
Accepted
Relating category theory to programming language theory
The most immediately obvious relation to category theory is that we have a category consisting of types as objects and functions as arrows. We have identity functions and can compose functions with th …