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...
63 KB (7,784 words) - 04:08, 17 February 2025
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"...
30 KB (3,617 words) - 20:05, 16 January 2025
Unsolved problem in computer science: P = ? N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} (more unsolved problems in computer science)...
21 KB (2,781 words) - 15:21, 4 March 2025
Conjecture (section P versus NP problem)
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...
25 KB (3,042 words) - 09:56, 6 October 2024
conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré...
24 KB (2,626 words) - 15:11, 9 January 2025
the P versus NP problem, which is still widely considered the most important unsolved problem in theoretical computer science. The concept of NP-completeness...
19 KB (2,355 words) - 22:12, 5 November 2024
Computational complexity theory (redirect from Intractable problem)
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...
49 KB (6,718 words) - 08:36, 1 February 2025
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...
5 KB (486 words) - 04:19, 8 January 2025
Complexity class (section The P versus NP problem)
answer questions about the fundamental nature of computation. The P versus NP problem, for instance, is directly related to questions of whether nondeterminism...
75 KB (10,381 words) - 04:35, 7 January 2025
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...
9 KB (909 words) - 01:04, 20 February 2025
#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...
7 KB (849 words) - 16:01, 27 November 2024
computers. One of the most important open problems in theoretical computer science is the P versus NP problem, which (among other equivalent formulations)...
12 KB (1,626 words) - 19:44, 8 February 2025
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...
53 KB (5,360 words) - 04:20, 15 February 2025
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", Communications...
10 KB (1,040 words) - 09:12, 4 January 2025
Unique games conjecture (category Unsolved problems in computer science)
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)...
28 KB (3,066 words) - 15:30, 24 February 2025
about proposed solutions. P versus NP problem What is the relationship between BQP and NP? NC = P problem The P vs NP problem is a major unsolved question...
9 KB (1,020 words) - 02:35, 25 February 2025
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...
7 KB (687 words) - 18:17, 24 November 2024
Proof of impossibility (section Integer solutions of Diophantine equations: Hilbert's tenth problem)
the P versus NP problem. Another technique is the proof of completeness for a complexity class, which provides evidence for the difficulty of problems by...
29 KB (3,909 words) - 08:17, 2 August 2024
Unsolved problem in computer science: NP = ? co-NP {\displaystyle {\textsf {NP}}\ {\overset {?}{=}}\ {\textsf {co-NP}}} (more unsolved problems in computer...
7 KB (948 words) - 22:59, 23 November 2024
a problem that Will could solve, Kleitman and Bohman suggested the unsolved computer science P versus NP problem, but the film used other problems. The...
65 KB (5,218 words) - 11:32, 22 February 2025
called modus ponens takes two premises, one in the form "If p then q" and another in the form "p", and returns the conclusion "q". The rule is valid with...
11 KB (1,475 words) - 09:38, 19 January 2025
famous open problem in computer science – whether P = NP – by showing that the complexity class P is not equal to the complexity class NP. The idea behind...
4 KB (472 words) - 17:07, 25 July 2024
complexity P versus NP problem Termination analysis Worst-case execution time McConnell, Steve (2004). Code Complete (2nd ed.). Pearson Education. p. 374....
53 KB (7,350 words) - 08:12, 21 February 2025
Galactic algorithm (section Traveling salesman problem)
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...
21 KB (2,594 words) - 22:20, 4 March 2025
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...
10 KB (1,261 words) - 20:16, 18 January 2025
Turing machine (section The Entscheidungsproblem (the "decision problem"): Hilbert's tenth question of 1900)
ISBN 0-201-02988-X. Centered around the issues of machine-interpretation of "languages", NP-completeness, etc. Hopcroft, John E.; Rajeev Motwani; Jeffrey D. Ullman (2001)...
73 KB (9,420 words) - 13:50, 30 January 2025
Algorithm (redirect from Algorithmic problem)
complexity can be the fastest algorithm for some problems is an open question known as the P versus NP problem. There are two large classes of such algorithms:...
58 KB (6,770 words) - 13:04, 28 February 2025
Navier–Stokes existence and smoothness (redirect from Navier–Stokes existence and smoothness problem)
The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...
28 KB (5,049 words) - 07:16, 5 March 2025
Time complexity (redirect from Polynomial-time problem)
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...
41 KB (5,002 words) - 20:19, 4 March 2025
the statement that P = NP, the Riemann hypothesis, and many other unsolved mathematical problems. When attempting to solve problems in this class, it makes...
59 KB (7,908 words) - 01:26, 6 March 2025