this post was submitted on 12 May 2024
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Asklemmy
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If the solution to a problem is easy to check for correctness, must the problem be easy to solve?
For instance, it is easy to check if a filled sudoku grid is a valid solution. Must it therefore be easy to solve sudokus?
Most people would probably intuitively answer "no", and most computer scientists agree, but this has still not been proven, so we actually don't know.
I disagree, I think most computer scientists believe that P != NP, at least when it comes to classical computers. If we believed that P = NP, then why would we bother with encryption?
EDIT: nvm, I misread it.
I think you've misunderstood ๐ . Answering "no" to that question corresponds to P != NP (there are problems that are easy to verify but not easy to solve), while "yes" means P = NP (if a solution is easy to check, the problem must be easy to solve). So I am saying most people and most scientists believe P != NP exactly as you say.
Reading comprehension is hard my bad.
Edit: wait no, it's "easy" I'm just dumb.