Timeline for Are there any natural theories T for which P=NP implies T proves P=NP?
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Jan 2, 2017 at 8:15 | comment | added | Will Sawin | No, this doesn't work, for exactly the reason you state. It's not possible to enumerate polynomial-time Turing machines in the way you are suggesting - telling if a fixed Turing machine halts in polynomial time - as this would enable you to solve the halting problem by considering Turing machines that ignore their input and hence either halt in constant time or run forever. | |
Dec 3, 2016 at 2:36 | history | edited | none | CC BY-SA 3.0 |
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Dec 3, 2016 at 2:28 | history | edited | none | CC BY-SA 3.0 |
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Dec 3, 2016 at 2:24 | review | First posts | |||
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Dec 3, 2016 at 2:20 | history | answered | none | CC BY-SA 3.0 |