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Jan 27, 2010 at 21:30 history edited François G. Dorais CC BY-SA 2.5
addendum
Jan 27, 2010 at 20:43 history edited François G. Dorais CC BY-SA 2.5
correction
Jan 27, 2010 at 20:40 comment added Boris Bukh Strictly speaking, this is not a solution to "More strongly" either, since $M$ and $M'$ are not given as black boxes, but as explicit Turing machines. The "more strongly" asks for an algorithm to construct a machine for $\alpha(M)+\alpha(M')$ given machines $M$ and $M'$. The basic question asks for non-constructive existence of such a machine for every pair $M,M'$.
Jan 27, 2010 at 20:26 comment added François G. Dorais Good point. I didn't read the question carefully.
Jan 27, 2010 at 20:20 comment added Reid Barton The first paragraph is only an answer to the "More strongly" part of the question, right?
Jan 27, 2010 at 20:01 history answered François G. Dorais CC BY-SA 2.5