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
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
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
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
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
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
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
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...
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
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) - 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
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
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
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 (12,117 words) - 02:29, 15 June 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
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