The P versus NP problem is one of the most important unsolved problems in computer science and mathematics, specifically in the field of computational complexity theory. It asks whether every problem whose solution can be quickly verified (in polynomial time) by a computer can also be quickly solved (in polynomial time) by a computer. Here's a breakdown of the key concepts: - **P Class**: This represents the set of problems for which a solution can be found in polynomial time.
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Interesting because of the Cook-Levin theorem: if only a single NP-complete problem were in P, then all NP-complete problems would also be P!
We all know the answer for this: either false or independent.