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

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

determine the practical 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...

in NP can be quickly solved—this is called the P versus NP problem. But if any NP-complete problem can be solved quickly, then every problem in NP can...

one of the Clay Mathematics Institute Millennium Prize Problems. The P versus NP problem is a major unsolved problem in computer science. Informally,...

Church–Turing thesis as having implications for the philosophy of mind. The P versus NP problem is an unsolved problem in computer science and mathematics. It...

P   = ?   N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} More unsolved problems in computer science In computational complexity theory, NP (nondeterministic...

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

concerns whether P equals NP. The relationships between classes often answer questions about the fundamental nature of computation. The P versus NP problem, for...

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

co-NP; i.e., ⁠ co-NP ⊆ NP {\displaystyle {\textsf {co-NP}}\subseteq {\textsf {NP}}} ⁠. Thus ⁠ co-NP = NP {\displaystyle {\textsf {co-NP}}={\textsf {NP}}}...

computationally intractable, and it drove interest in the study of NP-completeness and the P versus NP problem. Karp's 21 problems are shown below, many with their...

Aside, the P-NP Puzzler Has Consequences" The New York Times, October 7, 2009(subscription required) - L. Fortnow, "The Status of the P Versus NP Problem"...

#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...

(}n^{2^{100}}{\bigr )}} , although unusable in practice, would settle the P versus NP problem, considered the most important open problem in computer science...

2012 intellectual thriller film about four mathematicians who solve the P versus NP problem, one of the most challenging mathematical problems in history...

question of whether SAT has a polynomial-time algorithm would settle the P versus NP problem - one of the most important open problem in the theory of computing...

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

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)...

discrete mathematics solved in the second half of the 20th century. The P versus NP problem, which remains open to this day, is also important for discrete...

could solve, Kleitman and Bohman suggested the unsolved computer science P versus NP problem, but the film used other problems. The plot was inspired by George...

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

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 problems...

techniques that are not affected by relativization cannot resolve the P versus NP problem. Another technique is the proof of completeness for a complexity...

phosphorylase, an enzyme 4-Nitrophenol or p-nitrophenol Pyridoxine phosphate, a form of vitamin B6 PNP transistor P versus NP problem Plug and play, not requiring...

fastest algorithm for some problems is an open question known as the P versus NP problem. There are two large classes of such algorithms: Monte Carlo...

when experts in the field disagree about proposed solutions. P versus NP problem – The P vs NP problem is a major unsolved question in computer science that...

the first to mention the "P versus NP" question, in a 1956 letter to John von Neumann in which Gödel asked whether a certain NP-complete problem could be...

that Np for a curve E with rank r obeys an asymptotic law ∏ p ≤ x N p p ≈ C log ⁡ ( x ) r  as  x → ∞ {\displaystyle \prod _{p\leq x}{\frac {N_{p}}{p}}\approx...

example, the complexity of the characteristic functions of an NP-complete problem and its co-NP-complete complement is exactly the same even though the underlying...