be easy to solve? (more unsolved problems in computer science) The P versus NP problem is a major unsolved problem in theoretical computer science. Informally...

computational complexity theory, a problem is NP-complete when: It is a decision problem, meaning that for any input to the problem, the output is either "yes"...

conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré...

drove interest in the study of NP-completeness and the P versus NP problem. Karp's 21 problems are shown below, many with their original names. The nesting...

limits on what computers can and cannot do. The P versus NP problem, one of the seven Millennium Prize Problems, is part of the field of computational complexity...

Unsolved problem in computer science: P   = ?   N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} (more unsolved problems in computer science)...

answer questions about the fundamental nature of computation. The P versus NP problem, for instance, is directly related to questions of whether nondeterminism...

unsolved problems; it is also one of the Clay Mathematics Institute Millennium Prize Problems. The P versus NP problem is a major unsolved problem in computer...

#P-complete problem, if it existed, would solve the P versus NP problem by implying that P and NP are equal. No such algorithm is known, nor is a proof...

a polynomial-time algorithm is equivalent to the P versus NP problem, which is a famous open problem in the theory of computing. Nevertheless, as of 2007...

the P versus NP problem, which is still widely considered the most important unsolved problem in theoretical computer science. The concept of NP-completeness...

and P ≠ NP, then for many important problems it is not only impossible to get an exact solution in polynomial time (as postulated by the P versus NP problem)...

philosophy of mind. The P versus NP problem is an unsolved problem in computer science and mathematics. It asks whether every problem whose solution can be...

computers. One of the most important open problems in theoretical computer science is the P versus NP problem, which (among other equivalent formulations)...

solve the P versus NP problem, one of the most challenging mathematical problems in history. The title refers to the travelling salesman problem, an optimization...

P versus NP problem What is the relationship between BQP and NP? NC = P problem NP = co-NP problem P = BPP problem P = PSPACE problem L = NL problem PH...

The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...

would settle the P versus NP problem, considered the most important open problem in computer science and one of the Millennium Prize Problems. An example of...

upon Richard S. Hamilton's program of using the Ricci flow to solve the problem. By developing a number of new techniques and results in the theory of...

Unsolved problem in computer science: ⁠ NP   = ?   co-NP {\displaystyle {\textsf {NP}}\ {\overset {?}{=}}\ {\textsf {co-NP}}} ⁠ (more unsolved problems in computer...

functions of an NP-complete problem and its co-NP-complete complement is exactly the same even though the underlying decision problems may not be considered...

a problem that Will could solve, Kleitman and Bohman suggested the unsolved computer science P versus NP problem, but the movie used other problems. Patrick...

unsolved P versus NP problem asks if all problems in NP have polynomial-time algorithms. All the best-known algorithms for NP-complete problems like 3SAT...

when he published an article surveying the progress made in the P versus NP problem in Communications of the Association for Computing Machinery. In...

intractability of Hilbert's Nullstellensatz and an algebraic version of "NP≠P?"". Duke Math. J. 81: 47–54. doi:10.1215/S0012-7094-95-08105-8. Zbl 0882...

satisfiability problem is NP-complete, and consequently, tautology is co-NP-complete. It is widely believed that (equivalently for all NP-complete problems) no polynomial-time...

complexity P versus NP problem Termination analysis Worst-case execution time McConnell, Steve (2004). Code Complete (2nd ed.). Pearson Education. p. 374....

by Downey & Fellows (1999). Under the assumption that P ≠ NP, there exist many natural problems that require super-polynomial running time when complexity...

more efficient than known deterministic algorithms for many problems. The P versus NP problem encapsulates this conjectured greater efficiency available...

existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined by the Clay...