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Answer from Cook: www.cs.toronto.edu/~sacook/homepage/JACMpvsnp.ps Highlights - Computers could find formal proofs for any theorem with a reasonable length - A
by dave_au 17y ago
Answer from Cook:
www.cs.toronto.edu/~sacook/homepage/JACMpvsnp.ps
Highlights
- Computers could find formal proofs for any theorem with a reasonable length
- All you need then is a good recognition algorithm for formal proofs
- Then you can just work on recognizers for good novels / music / etc and have it churn out classics
The other example (I forget the source) is that if you have a P time formula for safety checking the designs of nuclear power plant, if P = NP you can efficiently generate a list of the designs of all possible safe nuclear power plants.
So you can go from P-time checkable constraints to P-time enumeration of things which fill the constraints.