15 Facts About Turing machines

Turing machines machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules.

Turing machines machine was invented in 1936 by Alan Turing machines, who called it an "a-machine" .

Turing machines proved the existence of fundamental limitations on the power of mechanical computation.

Turing machines completeness is the ability for a system of instructions to simulate a Turing machines machine.

Turing machines machine is a general example of a central processing unit that controls all data manipulation done by a computer, with the canonical machine using sequential memory to store data.

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Turing machines machine is capable of processing an unrestricted grammar, which further implies that it is capable of robustly evaluating first-order logic in an infinite number of ways.

Turing machines machine is equivalent to a single-stack pushdown automaton that has been made more flexible and concise by relaxing the last-in-first-out requirement of its stack.

Limitation of Turing machines is that they do not model the strengths of a particular arrangement well.

The upshot of this distinction is that there are computational optimizations that can be performed based on the memory indices, which are not possible in a general Turing machine; thus when Turing machines are used as the basis for bounding running times, a "false lower bound" can be proven on certain algorithms' running times .

Turing machines cites other proposals for "universal calculating machines" including those of Percy Ludgate, Leonardo Torres y Quevedo, Maurice d'Ocagne, Louis Couffignal, Vannevar Bush, Howard Aiken .

Turing machines told me that the 'main idea' of the paper came to him when he was lying in Grantchester meadows in the summer of 1935.

Turing had a lifelong interest in machines: "Alan had dreamt of inventing typewriters as a boy; [his mother] Mrs Turing had a typewriter; and he could well have begun by asking himself what was meant by calling a typewriter 'mechanical'" .

When Turing returned to the UK he ultimately became jointly responsible for breaking the German secret codes created by encryption machines called "The Enigma"; he became involved in the design of the ACE, "[Turing's] ACE proposal was effectively self-contained, and its roots lay not in the EDVAC [the USA's initiative], but in his own universal machine" .

In 1937, while at Princeton working on his PhD thesis, Turing built a digital multiplier from scratch, making his own electromechanical relays .

Today, the counter, register and random-access machines and their sire the Turing machine continue to be the models of choice for theorists investigating questions in the theory of computation.