• 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....
    63 KB (7,782 words) - 06:03, 15 October 2024
  • conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the...
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  • Thumbnail for NP-completeness
    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...
    30 KB (3,617 words) - 10:32, 8 August 2024
  • 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...
    49 KB (6,717 words) - 21:56, 25 September 2024
  • Thumbnail for Conjecture
    one of the Clay Mathematics Institute Millennium Prize Problems. The P versus NP problem is a major unsolved problem in computer science. Informally,...
    25 KB (3,042 words) - 09:56, 6 October 2024
  • Thumbnail for NP (complexity)
    Unsolved problem in computer science: P   = ?   N P {\displaystyle {\mathsf {P\ {\overset {?}{=}}\ NP}}} (more unsolved problems in computer science)...
    21 KB (2,787 words) - 14:08, 19 September 2024
  • 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...
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  • Unsolved problem in computer science: ⁠ NP   = ?   co-NP {\displaystyle {\textsf {NP}}\ {\overset {?}{=}}\ {\textsf {co-NP}}} ⁠ (more unsolved problems in computer...
    7 KB (948 words) - 06:02, 6 July 2024
  • 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 (2,354 words) - 01:15, 26 May 2024
  • 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...
    5 KB (486 words) - 13:35, 25 April 2023
  • most important open problems in theoretical computer science is the P versus NP problem, which (among other equivalent formulations) concerns the question...
    12 KB (1,663 words) - 19:33, 13 October 2024
  • Thumbnail for Complexity class
    concerns whether P equals NP. The relationships between classes often answer questions about the fundamental nature of computation. The P versus NP problem, for...
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  • #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
  • 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 (2,629 words) - 19:45, 29 July 2024
  • (}n^{2^{100}}{\bigr )}} , although unusable in practice, would settle the P versus NP problem, considered the most important open problem in computer science...
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  • contained in W[P], and the inclusion is believed to be strict. However, resolving this issue would imply a solution to the P versus NP problem. Other...
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  • Thumbnail for Gödel Prize
    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...
    30 KB (2,157 words) - 19:10, 11 August 2024
  • 2012 intellectual thriller film about four mathematicians who solve the P versus NP problem, one of the most challenging mathematical problems in history...
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  • proposed solutions. 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...
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  • efficient than known deterministic algorithms for many problems. The P versus NP problem encapsulates this conjectured greater efficiency available to...
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  • theory when he published an article surveying the progress made in the P versus NP problem in Communications of the Association for Computing Machinery...
    10 KB (1,019 words) - 07:25, 13 September 2024
  • 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...
    159 KB (15,698 words) - 18:01, 31 October 2024
  • Thumbnail for Time 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 problems...
    41 KB (4,998 words) - 17:46, 31 October 2024
  • Boolean satisfiability problem (category NP-complete problems)
    of whether SAT has a polynomial-time algorithm is equivalent to the P versus NP problem, which is a famous open problem in the theory of computing. Nevertheless...
    52 KB (5,326 words) - 07:49, 3 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 (7,344 words) - 15:52, 24 October 2024
  • techniques that are not affected by relativization cannot resolve the P versus NP problem. Another technique is the proof of completeness for a complexity...
    29 KB (3,909 words) - 08:17, 2 August 2024
  • 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...
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  • PNP (redirect from PnP)
    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...
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  • could solve, Kleitman and Bohman suggested the unsolved computer science P versus NP problem, but the movie used other problems. The plot was inspired by...
    65 KB (5,212 words) - 23:30, 25 October 2024
  • Thumbnail for Power set
    Power set (redirect from 𝒫)
    powerset of S is variously denoted as P(S), 𝒫(S), P(S), P ( S ) {\displaystyle \mathbb {P} (S)} , or 2S. Any subset of P(S) is called a family of sets over...
    20 KB (2,430 words) - 23:13, 22 September 2024