Complexity classes

Co-NP

In computational complexity theory, co-NP is a complexity class. A decision problem X is a member of co-NP if and only if its complement X is in the complexity class NP. The class can be defined as follows: a decision problem is in co-NP precisely if only no-instances have a polynomial-length "certificate" and there is a polynomial-time algorithm that can be used to verify any purported certificate. That is, co-NP is the set of decision problems where there exists a polynomial p(n) and a polynomial-time bounded Turing machine M such that for every instance x, x is a no-instance if and only if: for some possible certificate c of length bounded by p(n), the Turing machine M accepts the pair (x, c). (Wikipedia).

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Related pages

Tautology (logic) | Polynomial-time reduction | Co-NP-complete | Integer factorization | AKS primality test | Computational complexity theory | Boolean satisfiability problem | P (complexity) | Complement (complexity) | Decision problem | Turing machine | Certificate (complexity) | Complexity class | NP (complexity)