• 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
  • 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) - 19:50, 19 June 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 (1,661 words) - 23:52, 9 July 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) - 04:30, 7 July 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
  • Thumbnail for Orchestrated objective reduction
    Orchestrated objective reduction (Orch OR) is a controversial theory postulating that consciousness originates at the quantum level inside neurons (rather...
    57 KB (6,258 words) - 07:11, 1 August 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
  • 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
  • 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...
    16 KB (2,046 words) - 09:39, 12 July 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
  • 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 (3,266 words) - 20:46, 28 July 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
  • 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
  • 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
  • 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
  • theory — Combinatorial game theoryComputability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory —...
    38 KB (4,415 words) - 03:20, 28 July 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) - 09:27, 20 July 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 (12,168 words) - 21:23, 2 August 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...
    62 KB (7,410 words) - 11:24, 23 June 2025
  • 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
  • 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
  • Gröbner basis (category Invariant theory)
    of the reduction by considering only the S-polynomials. This is a fundamental fact for Gröbner basis theory and all algorithms for computing them. For...
    63 KB (10,037 words) - 09:29, 30 July 2025
  • Thumbnail for Quantum computing
    computers provide no additional power over classical computers in terms of computability. This means that quantum computers cannot solve undecidable problems...
    114 KB (12,509 words) - 15:55, 1 August 2025
  • Medvedev reducibility (category Computability theory)
    In computability theory, a set P of functions N → N {\displaystyle \mathbb {N} \rightarrow \mathbb {N} } is said to be Medvedev-reducible to another set...
    2 KB (152 words) - 10:40, 28 May 2025
  • with respect to the computability-logic semantics. In "On the system CL12 of computability logic", on the platform of computability logic, Japaridze generalized...
    26 KB (2,628 words) - 02:43, 30 January 2025
  • In computability theory, a decider is a Turing machine that halts for every input. A decider is also called a total Turing machine as it represents a total...
    9 KB (1,302 words) - 23:35, 10 September 2023