• In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated...
    13 KB (1,982 words) - 04:46, 16 September 2023
  • Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated...
    54 KB (6,414 words) - 03:45, 30 May 2025
  • In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine...
    12 KB (1,844 words) - 11:28, 22 April 2025
  • Computability is the ability to solve a problem by an effective procedure. It is a key topic of the field of computability theory within mathematical...
    21 KB (3,293 words) - 20:34, 1 June 2025
  • Recursive Functions and Effective Computability, MIT Press. ISBN 0-262-68052-1 S. Barry Cooper (2004). Computability Theory. Chapman and Hall/CRC. ISBN 1-58488-237-9...
    18 KB (2,168 words) - 17:36, 27 May 2025
  • 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) - 17:09, 11 June 2025
  • In computability theory and computational complexity theory, a many-one reduction (also called mapping reduction) is a reduction that converts instances...
    12 KB (1,768 words) - 04:51, 15 May 2025
  • analysis of algorithms and computability theory. A key distinction between analysis of algorithms and computational complexity theory is that the former is...
    50 KB (6,704 words) - 19:18, 26 May 2025
  • Thumbnail for Reduction (complexity)
    In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently...
    11 KB (1,658 words) - 21:46, 20 April 2025
  • Thumbnail for Decision problem
    In computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question on a...
    10 KB (1,246 words) - 09:36, 19 May 2025
  • Thumbnail for Reductionism
    suggestion that a newer theory does not replace or absorb an older one, but reduces it to more basic terms. Theory reduction itself is divisible into...
    29 KB (3,263 words) - 01:34, 27 April 2025
  • Thumbnail for Orchestrated objective reduction
    Orchestrated objective reduction (Orch OR) is a theory postulating that consciousness originates at the quantum level inside neurons (rather than being...
    59 KB (6,553 words) - 23:49, 9 June 2025
  • The uncertainty reduction theory (URT), also known as initial interaction theory, developed in 1975 by Charles Berger and Richard Calabrese, is a communication...
    89 KB (10,300 words) - 16:04, 22 May 2025
  • compounds Ore reduction: see smelting Reduction (complexity), a transformation of one problem into another problem Reduction (recursion theory), given sets...
    8 KB (1,078 words) - 07:13, 6 May 2025
  • In computational complexity theory and computability theory, a counting problem is a type of computational problem. If R is a search problem then c R...
    2 KB (169 words) - 22:27, 31 May 2024
  • Computability logic (CoL) is a research program and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed...
    19 KB (2,560 words) - 01:31, 10 January 2025
  • In complexity theory and computability theory, an oracle machine is an abstract machine used to study decision problems. It can be visualized as a black...
    15 KB (2,028 words) - 21:20, 6 June 2025
  • This is a list of computability and complexity topics, by Wikipedia page. Computability theory is the part of the theory of computation that deals with...
    5 KB (466 words) - 16:43, 14 March 2025
  • In computability theory, index sets describe classes of computable functions; specifically, they give all indices of functions in a certain class, according...
    4 KB (703 words) - 10:27, 25 May 2025
  • In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's...
    58 KB (6,849 words) - 17:10, 11 June 2025
  • 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
  • computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in...
    9 KB (1,678 words) - 02:57, 26 July 2024
  • Dimensionality reduction, or dimension reduction, is the transformation of data from a high-dimensional space into a low-dimensional space so that the...
    21 KB (2,248 words) - 07:14, 18 April 2025
  • and =β meaning equivalence with β-reduction. See the Church–Turing thesis for other approaches to defining computability and their equivalence. Church's...
    90 KB (12,117 words) - 02:29, 15 June 2025
  • TT (section Computing)
    particular unit in USB hubs tt-reduction (truth-table reduction), a kind of transformation used in computability theory <tt>...</tt> (short for teletype)...
    4 KB (584 words) - 17:40, 9 May 2025
  • Myhill isomorphism theorem (category Computability theory)
    In computability theory the Myhill isomorphism theorem, named after John Myhill, provides a characterization for two numberings to induce the same notion...
    9 KB (1,122 words) - 03:09, 28 May 2025
  • In the mathematical field of graph theory, a transitive reduction of a directed graph D is another directed graph with the same vertices and as few edges...
    16 KB (2,279 words) - 19:58, 12 October 2024
  • Decidability (logic) (category Proof theory)
    many-one reduction in computability theory. A property of a theory or logical system weaker than decidability is semidecidability. A theory is semidecidable...
    16 KB (1,887 words) - 21:01, 15 May 2025
  • Ackermann function (category Computability theory)
    In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable...
    59 KB (7,132 words) - 09:32, 17 June 2025
  • Thumbnail for Quantum computing
    advantage comes in the form of time complexity rather than computability, and quantum complexity theory shows that some quantum algorithms are exponentially...
    113 KB (12,430 words) - 14:39, 13 June 2025