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If you are interested in compilers, you might also enjoy Wolfram Research's 2,3 Turing Machine Research Price: http://www.wolframscience.com/prizes/tm23/

Win 25000$ and eternal fame if you can prove that the Turing machine described there is universal, or if you can prove that it is not universal (in the latter case, I think eternal fame won't be included in the price).

It is a beautiful problem.



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