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Sep 16, 2013 at 10:03 comment added Bas Spitters Is your question related to this one? mathoverflow.net/questions/141764/…
May 2, 2012 at 12:51 history edited Ed Dean
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May 2, 2012 at 12:51 comment added Ed Dean @James: I took the liberty of adding the lo.logic tag as Jason suggested, since that might get you some feedback beyond my somewhat deflationary answer.
Apr 10, 2012 at 18:56 comment added Jason Rute I forgot to add proof mining to the above list. It is an application of proof theory which can be used to extract numerical bounded from (apparently) noneffective proofs.
Apr 10, 2012 at 18:53 comment added Jason Rute There are a lot of similar efforts in this regard: algorithmic randomness, computable analysis, constructive math, and reverse mathematics. As Ed Dean pointed out, the theory of computation for analytic objects is fairly well-understood. What is left is to work out the details for each theorem. For example, if a theorem asserts the existence of an object, when is it computable? Is there a specific application/theorem you had in mind? (I work in these fields and I am very interested in what the computational concerns are of analysts, probabilists, and ergodic-theorists.)
Apr 10, 2012 at 18:22 comment added Jason Rute It might be helpful to add a lo.logic tag, since I think this is where much of this work is being done in.
Apr 3, 2012 at 5:10 answer added Ed Dean timeline score: 4
Apr 3, 2012 at 3:32 history edited Ori Gurel-Gurevich
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Apr 3, 2012 at 2:11 history asked James Propp CC BY-SA 3.0