Complexity Class


In computer science and computational complexity theory, a complexity class is a set of problems of related computational difficulty. Complexity classes are defined by the amount of resources, such as time and space, that are required to solve the problems in the class. The most well-known complexity class is P, which consists of decision problems that can be solved by a deterministic Turing machine in polynomial time. Another important complexity class is NP, which consists of decision problems that can be verified by a nondeterministic Turing machine in polynomial time. The relationship between P and NP is one of the most important open problems in computer science and mathematics, known as the P versus NP problem.


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