• In computational complexity theory, a polynomial-time reduction is a method for solving one problem using another. One shows that if a hypothetical subroutine...
    11 KB (1,472 words) - 23:39, 6 June 2023
  • Thumbnail for NP-completeness
    term reduction was used in the technical meaning of a polynomial-time many-one reduction. Another type of reduction is polynomial-time Turing reduction. A...
    30 KB (3,614 words) - 19:13, 15 June 2024
  • Thumbnail for NP-hardness
    non-deterministic polynomial-time, there is a polynomial-time reduction from L to H. That is, assuming a solution for H takes 1 unit time, H's solution can...
    8 KB (1,082 words) - 15:23, 27 June 2024
  • computational complexity theory of counting problems, a polynomial-time counting reduction is a type of reduction (a transformation from one problem to another)...
    6 KB (753 words) - 17:17, 12 February 2022
  • reductions are also polynomial-time reductions. However, log-space reductions are probably weaker than polynomial-time reductions; while any non-empty, non-full...
    4 KB (446 words) - 14:57, 18 December 2022
  • Thumbnail for Reduction (complexity)
    used (m : mapping reduction, p : polynomial reduction). The mathematical structure generated on a set of problems by the reductions of a particular type...
    11 KB (1,657 words) - 23:06, 14 May 2024
  • within the hierarchy have complete problems (with respect to polynomial-time reductions) that ask if quantified Boolean formulae hold, for formulae with...
    16 KB (2,690 words) - 22:59, 2 July 2024
  • In computer science (particularly algorithmics), a polynomial-time approximation scheme (PTAS) is a type of approximation algorithm for optimization problems...
    6 KB (745 words) - 08:02, 2 April 2023
  • version of the shortest vector problem (SVP) in a lattice (a polynomial-time reduction from this SVP problem to the RLWE problem has been presented)...
    20 KB (2,978 words) - 12:10, 5 April 2024
  • projections where each subsequent reduction notion is weaker than the prior; see polynomial-time reduction and log-space reduction for details. Given decision...
    12 KB (1,763 words) - 03:50, 7 June 2024