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Old 08-12-2010
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Default Ðề: P ≠ NP? It's bad news for the power of computing

Có vẻ như mọi chuyện đã ngã ngũ:

Trích:
I think there are several levels to the basic question “Is the proof correct?”:

  1. Does Deolalikar’s proof, after only minor changes, give a proof that P NP?
  2. Does Deolalikar’s proof, after major changes, give a proof that P NP?
  3. Does the general proof strategy of Deolalikar (exploiting independence properties in random -SAT or similar structures) have any hope at all of establishing non-trivial complexity separation results?
After all the collective efforts seen here and elsewhere, it now appears (though it is perhaps still not absolutely definitive) that the answer to #1 is “No” (as seen for instance in the issues documented in the wiki), and the best answer to #2 we currently have is “Probably not, unless substantial new ideas are added.” But I think the question #3 is still not completely resolved, and still worth pursuing (though not at the hectic internet speed of the last few days.)
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