Changing the definition of this set to harness probability results in the Arthur-Merlin protocol.
The makeup of this set is described by Fagin's theorem and the concept of natural proofs was introduced to argue against certain approaches for finding particular substructures within it. The Valiant-Vazirani theorem gives a way for this set to be collapsed. Changing the definition of this set to harness probability results in the Arthur-Merlin protocol. The intersection of this set and its complement includ¬es primality. It contains both the problem of discrete logarithms and deciding whether a graph has a given size clique. Richard Karp gave a list of 21 problems that are as hard as any in this complexity class, including the Boolean satisfiability problem. This is the set of problems which have a polynomial-time verifier. For 10 points, name this complexity class that may or may not strictly contain P.
The makeup of this set is described by Fagin's theorem and the concept of natural proofs was introduced to argue against certain approaches for finding particular substructures within it.
NP [or Nondeterministic Polynomial time]