• Thumbnail for Reduction (complexity)
    computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently efficient reduction from one...
    11 KB (1,661 words) - 23:52, 9 July 2025
  • 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
  • In computational complexity theory, a log-space reduction is a reduction computable by a deterministic Turing machine using logarithmic space. Conceptually...
    9 KB (1,358 words) - 19:50, 19 June 2025
  • types of reductions, based on the method of reduction, such as Cook reductions, Karp reductions and Levin reductions, and the bound on the complexity of reductions...
    50 KB (6,704 words) - 04:30, 7 July 2025
  • the program implementing the Turing reduction may use. These limits on the computational complexity of the reduction are important when studying subrecursive...
    12 KB (1,844 words) - 11:28, 22 April 2025
  • computability theory and computational complexity theory, a many-one reduction (also called mapping reduction) is a reduction that converts instances of one decision...
    12 KB (1,768 words) - 04:51, 15 May 2025
  • In the computational complexity theory of counting problems, a polynomial-time counting reduction is a type of reduction (a transformation from one problem...
    6 KB (753 words) - 17:17, 12 February 2022
  • organic compounds Ore reduction: see smelting Reduction (complexity), a transformation of one problem into another problem Reduction (recursion theory),...
    8 KB (1,078 words) - 07:13, 6 May 2025
  • first-order reduction is a very strong type of reduction between two computational problems in computational complexity theory. A first-order reduction is a...
    1 KB (147 words) - 13:37, 15 November 2021
  • the complexity class. More formally, a problem p is called hard for a complexity class C under a given type of reduction if there exists a reduction (of...
    2 KB (304 words) - 18:30, 18 April 2022
  • Cyclomatic complexity is a software metric used to indicate the complexity of a program. It is a quantitative measure of the number of linearly independent...
    23 KB (2,912 words) - 22:16, 10 March 2025
  • computational complexity theory and game complexity, a parsimonious reduction is a transformation from one problem to another (a reduction) that preserves...
    8 KB (1,084 words) - 00:07, 5 April 2022
  • theory and computational complexity theory, especially the study of approximation algorithms, an approximation-preserving reduction is an algorithm for transforming...
    9 KB (1,497 words) - 10:04, 23 July 2023
  • computational complexity of decision problems. The term L reduction is sometimes used to refer to log-space reductions, by analogy with the complexity class L...
    6 KB (1,017 words) - 17:40, 4 August 2023
  • Thumbnail for Reductionism
    different concepts for different degrees of complexity while affirming a reduction of theories. The idea of reductionism can be expressed by "levels" of explanation...
    29 KB (3,266 words) - 20:46, 28 July 2025
  • Thumbnail for NP-hardness
    NP-hardness (category Complexity classes)
    problems Reduction (complexity) Unknowability Leeuwen, Jan van, ed. (1998). Handbook of Theoretical Computer Science. Vol. A, Algorithms and complexity. Amsterdam:...
    9 KB (1,119 words) - 00:35, 28 April 2025
  • In computational complexity theory, a PTAS reduction is an approximation-preserving reduction that is often used to perform reductions between solutions...
    3 KB (496 words) - 23:00, 2 February 2025
  • Thumbnail for Complexity class
    In computational complexity theory, a complexity class is a set of computational problems "of related resource-based complexity". The two most commonly...
    75 KB (10,382 words) - 17:19, 13 June 2025
  • (although this has not been proven). The closure of any complexity class under Turing reductions is a superset of that class which is closed under complement...
    6 KB (675 words) - 18:41, 13 October 2022
  • similar class NEXPTIME, is not closed under polynomial-time many-one reductions. NE is contained by NEXPTIME. E (complexity) Complexity Zoo: NE v t e...
    753 bytes (59 words) - 23:16, 28 February 2023
  • Thumbnail for L (complexity)
    In computational complexity theory, L (also known as LSPACE, LOGSPACE or DLOGSPACE) is the complexity class containing decision problems that can be solved...
    12 KB (1,503 words) - 07:26, 3 July 2025
  • In computational complexity theory, a fine-grained reduction is a transformation from one computational problem to another, used to relate the difficulty...
    6 KB (831 words) - 06:36, 29 January 2023
  • equal to the complexity class DTIME(2O(n)). E, unlike the similar class EXPTIME, is not closed under polynomial-time many-one reductions. E is contained...
    2 KB (185 words) - 07:41, 2 March 2023
  • In computability theory a truth-table reduction is a type of reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle...
    4 KB (676 words) - 06:55, 30 December 2024
  • In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated...
    13 KB (1,982 words) - 17:20, 6 July 2025
  • In computational complexity theory, SL (Symmetric Logspace or Sym-L) is the complexity class of problems log-space reducible to USTCON (undirected s-t...
    14 KB (1,793 words) - 19:43, 14 July 2025
  • Model order reduction (MOR) is a technique for reducing the computational complexity of mathematical models in numerical simulations. As such it is closely...
    31 KB (3,363 words) - 22:00, 27 July 2025
  • In computational complexity theory, arithmetic circuits are the standard model for computing polynomials. Informally, an arithmetic circuit takes as inputs...
    13 KB (2,179 words) - 16:09, 14 July 2025
  • taken into account. Lists of problems List of unsolved problems Reduction (complexity) Unknowability Wells, J. B. (1993). "Typability and type checking...
    16 KB (1,787 words) - 17:14, 23 June 2025
  • Karp's 21 NP-complete problems List of PSPACE-complete problems Reduction (complexity) Grigoriev & Bodlaender (2007). Karp (1972) Garey & Johnson (1979)...
    29 KB (2,746 words) - 00:31, 24 April 2025