Computational Theory Questions
In complexity theory, P and NP are classes that categorize problems based on their computational complexity.
P (Polynomial Time) class includes problems that can be solved in polynomial time, meaning the time required to solve the problem is bounded by a polynomial function of the input size. These problems have efficient algorithms that can find a solution in a reasonable amount of time.
NP (Nondeterministic Polynomial Time) class includes problems for which a potential solution can be verified in polynomial time. In other words, if a solution is proposed, it can be checked in polynomial time to determine if it is correct or not. However, finding the solution itself may not be efficient.
It is important to note that P is a subset of NP, meaning that any problem in P is also in NP. The question of whether P = NP or P ≠ NP is one of the most famous unsolved problems in computer science.