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
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
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
Counting problem (complexity) (redirect from Counting problem (computability theory))
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
Decision problem (redirect from Word problem (computability))
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
Oracle machine (redirect from Oracle (computability))
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
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
Computation in the limit (redirect from Computability in the limit)
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 theory — Computability theory — Computational complexity theory — Deformation theory — Dimension theory — Ergodic theory —...
38 KB (4,415 words) - 03:20, 28 July 2025
Church–Turing thesis (redirect from Church–Turing thesis (complexity theory))
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
Lambda calculus (redirect from Beta reduction)
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
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
Decider (Turing machine) (redirect from Decider (computability theory))
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