• 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...
    62 KB (7,720 words) - 22:06, 18 April 2024
  • Thumbnail for NP-completeness
    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 (3,618 words) - 20:23, 4 April 2024
  • 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) - 13:35, 25 April 2023
  • conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré...
    23 KB (2,617 words) - 21:30, 12 April 2024
  • Thumbnail for NP (complexity)
    Unsolved problem in computer science: P   = ?   N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} (more unsolved problems in computer science)...
    20 KB (2,771 words) - 03:04, 9 November 2023
  • 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...
    48 KB (6,302 words) - 23:03, 24 February 2024
  • exists is thus equivalent to the P versus NP problem, which is still widely considered the most important unsolved problem in theoretical computer science...
    19 KB (2,358 words) - 09:51, 27 March 2024
  • Thumbnail for Conjecture
    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 (3,045 words) - 06:29, 23 January 2024
  • #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 (847 words) - 08:43, 21 October 2023
  • Thumbnail for Complexity class
    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 (10,356 words) - 08:47, 26 November 2023
  • 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 (904 words) - 21:16, 24 December 2023
  • 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)...
    24 KB (2,599 words) - 21:29, 2 March 2024
  • 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...
    52 KB (5,312 words) - 10:21, 17 April 2024
  • 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...
    7 KB (694 words) - 06:34, 20 January 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 (1,663 words) - 11:20, 8 April 2024
  • 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 (691 words) - 15:05, 23 May 2023
  • Thumbnail for Decision problem
    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 (1,272 words) - 02:02, 31 October 2023
  • satisfiability problem, although unusable in practice, would settle the P versus NP problem, considered the most important open problem in computer science...
    15 KB (1,888 words) - 19:53, 23 April 2024
  • 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...
    63 KB (5,080 words) - 01:05, 24 April 2024
  • complexity P versus NP problem Termination analysis Worst-case execution time McConnell, Steve (2004). Code Complete (2nd ed.). Pearson Education. p. 374....
    52 KB (7,232 words) - 17:11, 2 April 2024
  • packing were two major problems of discrete mathematics solved in the second half of the 20th century. The P versus NP problem, which remains open to...
    167 KB (16,258 words) - 20:34, 25 April 2024
  • 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 (457 words) - 14:50, 3 January 2023
  • Thumbnail for Time complexity
    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...
    40 KB (4,969 words) - 17:41, 21 April 2024
  • satisfiability problem is NP complete, and widely believed that there is no polynomial-time algorithm that can perform it. Consequently, tautology is co-NP-complete...
    21 KB (2,970 words) - 09:11, 29 March 2024
  • PNP (redirect from PnP)
    4-Nitrophenol or p-nitrophenol PNP transistor P versus NP problem Plug and play, not requiring configuration Legacy Plug and Play or Legacy PnP Perspective-n-Point...
    1 KB (173 words) - 15:12, 6 April 2024
  • Thumbnail for Navier–Stokes existence and smoothness
    The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial...
    29 KB (5,196 words) - 08:56, 18 April 2024
  • when he published an article surveying the progress made in the P versus NP problem in Communications of the Association for Computing Machinery. In...
    10 KB (1,024 words) - 02:21, 3 March 2024
  • 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...
    30 KB (3,963 words) - 21:59, 16 April 2024
  • intractability of Hilbert's Nullstellensatz and an algebraic version of "NPP?"". Duke Math. J. 81: 47–54. doi:10.1215/S0012-7094-95-08105-8. Zbl 0882...
    15 KB (786 words) - 16:42, 7 January 2024
  • by Downey & Fellows (1999). Under the assumption that P ≠ NP, there exist many natural problems that require superpolynomial running time when complexity...
    18 KB (2,682 words) - 00:58, 21 December 2023