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Sep 24, 2018 · Turing machines, first described by Alan Turing in Turing 1936–7, are simple abstract computational devices intended to help investigate the extent and limitations of what can be computed. Turing’s ‘automatic machines’, as he termed them in 1936, were specifically devised for the computing of real numbers.
- Computational Complexity Theory
The first machine class contains the basic Turing machine...
- Church-Turing Thesis
Turing said, on the contrary, that a sequence is “computable...
- Gödel's Incompleteness Theorem
Turing’s careful conceptual analysis which used fictional...
- Recursive Functions
An o-machine is otherwise like a normal Turing machine but...
- Philosophy of Computer Science
Searle famously argued that anything can be an...
- Stanford University
• Turing’s model—which is now known as a Turing machine—is a...
- Computational Complexity Theory
Sep 23, 2024 · The Turing machine is not a machine in the ordinary sense but rather an idealized mathematical model that reduces the logical structure of any computing device to its essentials. As envisaged by Turing, the machine performs its functions in a sequence of discrete steps and assumes only one of a finite list of internal states at any given moment.
- The Editors of Encyclopaedia Britannica
A Turing machine is a mathematical model of computation describing an abstract machine [1] that manipulates symbols on a strip of tape according to a table of rules. [2] Despite the model's simplicity, it is capable of implementing any computer algorithm. [3]
Turing machines are similar to finite automata/finite state machines but have the advantage of unlimited memory. They are capable of simulating common computers; a problem that a common computer can solve (given enough memory) will also be solvable using a Turing machine, and vice versa.
Indeed, since it is an abstract or notional machine, a Turing machine can compute more than any physical computer. This is because (1) the physical computer has access to only a bounded amount of memory, and (2) the physical computer's speed of operation is limited by various real-world constraints.
Aug 31, 2024 · In doing so, Turing worked out in great detail the basic concepts of a universal computing machine—that is, a computing machine that could, at least in theory, do anything that a special-purpose computing device could do.
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• Turing’s model—which is now known as a Turing machine—is a central concept in theoretical computer science. • Turing is widely recognized as one of the most important figures in the history of computer science. The field’s most prestigious prize is the Turing Award, which is given in his honor.
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