}{=}}\ NP}}} More unsolved problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class...

could be automated. The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation...

In computational complexity theory, a computational problem H is called NP-hard if, for every problem L which can be solved in non-deterministic polynomial-time...

roles of computational complexity theory is to determine the practical limits on what computers can and cannot do. The P versus NP problem, one of the seven...

In computational complexity theory, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely...

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...

a number of fundamental time and space complexity classes relate to each other in the following way: L⊆NL⊆P⊆NP⊆PSPACE⊆EXPTIME⊆NEXPTIME⊆EXPSPACE Where...

of complexity classes in computational complexity theory. For other computational and complexity subjects, see list of computability and complexity topics...

bounds. Simulating an NP-algorithm on a deterministic computer usually takes "exponential time". A problem is in the complexity class NP, if it may be solved...

input or output. The complexity of a problem is then measured as a function of those parameters. This allows the classification of NP-hard problems on a...

In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can...

In computational complexity theory, a branch of computer science, bounded-error probabilistic polynomial time (BPP) is the class of decision problems solvable...

In computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete. In his 1972 paper, "Reducibility...

hierarchy) is a hierarchy of complexity classes that generalize the classes NP and co-NP. Each class in the hierarchy is contained within PSPACE. The hierarchy...

This is a list of some of the more commonly known problems that are NP-complete when expressed as decision problems. As there are thousands of such problems...

called C-hard, e.g. NP-hard. Normally, it is assumed that the reduction in question does not have higher computational complexity than the class itself...

In complexity theory, computational problems that are co-NP-complete are those that are the hardest problems in co-NP, in the sense that any problem in...

complexity theory, the unsolved P versus NP problem asks if all problems in NP have polynomial-time algorithms. All the best-known algorithms for NP-complete...

In computational complexity, strong NP-completeness is a property of computational problems that is a special case of NP-completeness. A general computational...

symbol Np, a chemical element Nosocomial pneumonia Natriuretic peptide NP (complexity), Nondeterministic Polynomial, a computational complexity class NP-complete...

computational complexity theory, the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That...

In computational complexity theory and computability theory, a counting problem is a type of computational problem. If R is a search problem then c R (...

computational complexity theory, the complexity class NP-equivalent is the set of function problems that are both NP-easy and NP-hard. NP-equivalent is...

is equivalent to NP=coNP. Contemporary proof complexity research draws ideas and methods from many areas in computational complexity, algorithms and mathematics...

In complexity theory, the complexity class NP-easy is the set of function problems that are solvable in polynomial time by a deterministic Turing machine...

PSPACE. The following relations are known between PSPACE and the complexity classes NL, P, NP, PH, EXPTIME and EXPSPACE (we use here ⊂ {\displaystyle \subset...

In computational complexity theory, randomized polynomial time (RP) is the complexity class of problems for which a probabilistic Turing machine exists...

EXPTIME relates to the other basic time and space complexity classes in the following way: P ⊆ NP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE. Furthermore...

position under certain circumstances. The heaviness of the NP is determined by its grammatical complexity; whether or not shifting occurs can impact the grammaticality...

In computational complexity theory, the complexity class FNP is the function problem extension of the decision problem class NP. The name is somewhat of...