computer science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, as described by Alan Turing in his seminal...
22 KB (2,963 words) - 22:01, 17 March 2025
calculus. A Turing machine that is able to simulate any other Turing machine is called a universal Turing machine (UTM, or simply a universal machine). Another...
73 KB (9,420 words) - 13:08, 29 May 2025
simulate a Turing machine, it is Turing equivalent to a Turing machine. A universal Turing machine can be used to simulate any Turing machine and by extension...
32 KB (3,448 words) - 22:13, 10 March 2025
described a universal 2-state 5-symbol Turing machine, and conjectured that a particular 2-state 3-symbol Turing machine (hereinafter (2,3) Turing machine) might...
15 KB (1,647 words) - 13:26, 4 April 2025
A quantum Turing machine (QTM) or universal quantum computer is an abstract machine used to model the effects of a quantum computer. It provides a simple...
9 KB (1,105 words) - 20:05, 15 January 2025
"library" can be printed. Turing machine Universal Turing machine Alternating Turing machine Probabilistic Turing machine Turing machine equivalents Sipser,...
4 KB (543 words) - 11:31, 8 December 2022
Kolmogorov complexity (redirect from Universal prefix-free Turing machine)
on 2 ∗ {\displaystyle 2^{*}} , used by the universal Turing machine. Note that some universal Turing machines may not be programmable with prefix codes...
59 KB (7,774 words) - 19:56, 1 June 2025
probabilities for the transitions, probabilistic Turing machines can be defined as deterministic Turing machines having an additional "write" instruction where...
8 KB (1,061 words) - 08:48, 3 February 2025
branch instruction. Nevertheless, the Z3 was Turing-complete – how to implement a universal Turing machine on the Z3 was shown in 1998 by Raúl Rojas. He...
38 KB (3,402 words) - 12:34, 20 May 2025
A Turing machine is a hypothetical computing device, first conceived by Alan Turing in 1936. Turing machines manipulate symbols on a potentially infinite...
19 KB (2,667 words) - 14:28, 8 November 2024
relationship between partial Turing machines and total Turing machines: Can every partial function computable by a partial Turing machine be extended (that is...
9 KB (1,302 words) - 23:35, 10 September 2023
UTM theorem (redirect from Universal turing machine theorem)
In computability theory, the UTM theorem, or universal Turing machine theorem, is a basic result about Gödel numberings of the set of computable functions...
2 KB (242 words) - 01:42, 26 January 2024
Algorithmic probability (redirect from Universal probability distribution)
distribution over programs (that is, inputs to a universal Turing machine). The prior is universal in the Turing-computability sense, i.e. no string has zero...
20 KB (2,734 words) - 09:34, 13 April 2025
Hypercomputation (redirect from Infinite-time Turing machine)
super-Turing computation is a set of hypothetical models of computation that can provide outputs that are not Turing-computable. For example, a machine that...
30 KB (3,369 words) - 19:26, 13 May 2025
Halting problem (redirect from Lossy Turing machine)
Turing machine starting from a given state ever print a given symbol?") and to the printing problem considered in Turing's 1936 paper ("does a Turing...
53 KB (7,356 words) - 22:58, 18 May 2025
In theoretical computer science, a Turing machine is a theoretical machine that is used in thought experiments to examine the abilities and limitations...
2 KB (339 words) - 20:21, 17 March 2025
Universality probability is an abstruse probability measure in computational complexity theory that concerns universal Turing machines. A Turing machine...
10 KB (1,107 words) - 21:54, 26 May 2025
In theoretical computer science, a nondeterministic Turing machine (NTM) is a theoretical model of computation whose governing rules specify more than...
12 KB (1,626 words) - 23:58, 16 March 2025
computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis...
57 KB (6,820 words) - 02:39, 2 May 2025
computational complexity theory, an alternating Turing machine (ATM) is a non-deterministic Turing machine (NTM) with a rule for accepting computations that...
13 KB (2,010 words) - 02:59, 19 May 2025
Description number (redirect from Turing number)
Turing machine as a natural number: this is the description number of that Turing machine under Turing's universal machine. The simple Turing machine...
6 KB (890 words) - 20:00, 3 July 2023
"Post–Turing program" and "Post–Turing machine" were used by Martin Davis in 1973–1974 (Davis 1973, p. 69ff). Later in 1980, Davis used the name "Turing–Post...
22 KB (2,767 words) - 23:22, 8 February 2025
Computer program (section Universal Turing machine)
1936, Alan Turing introduced the Universal Turing machine, a theoretical device that can model every computation. It is a finite-state machine that has...
124 KB (13,134 words) - 03:23, 1 June 2025
Busy beaver (section Universal Turing machines)
programs used in the game are n-state Turing machines, one of the first mathematical models of computation. Turing machines consist of an infinite tape, and...
66 KB (7,919 words) - 08:07, 3 June 2025
A neural Turing machine (NTM) is a recurrent neural network model of a Turing machine. The approach was published by Alex Graves et al. in 2014. NTMs combine...
5 KB (416 words) - 19:22, 6 December 2024
allowed. A read-only Turing machine is used in the definition of a Universal Turing machine to accept the definition of the Turing machine that is to be modelled...
6 KB (812 words) - 14:32, 28 May 2025
Turing machine Symmetric Turing machine Unambiguous Turing machine Universal Turing machine Wolfram's 2-state 3-symbol Turing machine Turing Machine (band)...
4 KB (337 words) - 18:36, 2 June 2025
a register machine is a generic class of abstract machines, analogous to a Turing machine and thus Turing complete. Unlike a Turing machine that uses a...
54 KB (5,282 words) - 02:27, 7 April 2025
A symmetric Turing machine is a Turing machine which has a configuration graph that is undirected (that is, configuration i yields configuration j if and...
4 KB (610 words) - 03:56, 19 June 2024
A Multitrack Turing machine is a specific type of multi-tape Turing machine. In a standard n-tape Turing machine, n heads move independently along n tracks...
3 KB (588 words) - 06:49, 4 June 2024