The set P is the set of decision problems that can be solved in polynomial time. The set NP is the set of decision problems whose solution can be verified in polynomial time. The question of whether P is the same set as NP is the most important open question in all of theoretical computer science. There is even a $1,000,000 prize for solving it. (See Complexity classes P and NP and oracles). |
The set P is the set of decision problems that can be solved in polynomial time. The question of whether P is the same set as NP is the most important open question in all of theoretical computer science. There is even a $1,000,000 prize for solving it. (See Complexity classes P and NP and oracles). |