Houjun Liu

P vs. NP

Polynomial Time \(P\) vs Non-Polynomial Time \(NP\)

  • \(P\) are the problems that can be efficiently solved
  • \(NP\) are the problems where proposed solutions can be efficiently verified

so! is \(P=NP\)?

If this is true, there are some consequences:

  • proving can be automated
  • cryptography would be able to be automated easily

anywhere there is a problem can be globally optimized. This is too good to be true, so probably \(P \neq NP\).