Turing Machine in a sentence

Machine models and complexity measures Turing machine An illustration of a Turing machine main A Turing machine is a mathematical model of a general computing machine.

A Turing machine that is able to simulate any other Turing machine is called a universal Turing machine (UTM, or simply a universal machine).

Alan Turing writes, "all digital computers are in a sense equivalent."sfn The widely accepted Church-Turing thesis holds that any function computable by an effective procedure is computable by a Turing machine.

An experimental prototype to achieve Turing machine Limitations of Turing machines Computational complexity theory further A limitation of Turing machines is that they do not model the strengths of a particular arrangement well.

This would not however invalidate the original Church–Turing thesis, since a quantum computer can always be simulated by a Turing machine, but it would invalidate the classical Complexity-Theoretic Church–Turing thesis for efficiency reasons.

A deterministic Turing machine is the most basic Turing machine, which uses a fixed set of rules to determine its future actions.

A probabilistic Turing machine is a deterministic Turing machine with an extra supply of random bits.

As any Universal Turing machine can do what any other Turing machine can, a central calculator in principle has no advantage over a system of dispersed calculators (i.

A Universal Turing machine can be used to simulate any Turing machine and by extension the computational aspects of any possible real-world computer.

It has been proved for instance that a (multi-tape) universal Turing machine only suffers a logarithmic slowdown factor in simulating any Turing machine.

Models equivalent to the Turing machine model seeAlso Many machines that might be thought to have more computational capability than a simple universal Turing machine can be shown to have no more power (Hopcroft and Ullman p. 159, cf Minsky (1967)).

See the definition of "innings" on Wiktionary (Turing 1948, p. 3 citation ) Informal description For The Turing machine mathematically models a machine that mechanically operates on a tape.

Tally marks appear prominently in unary numeral system arithmetic used in Turing machine and Post–Turing machine computations.

The probabilistic polynomial-time Turing Machine V* w (x) corresponds to the deterministic polynomial-time Turing Machine V(x, w) by replacing the random tape of V* with a second input tape for V on which is written the sequence of coin flips.

Configurations and the yields relation on configurations, which describes the possible actions of the Turing machine given any possible contents of the tape, are as for standard Turing machines, except that the yields relation is no longer single-valued.

Digit strings and the Cantor and Baire spaces Turing's original paper defined computable numbers as follows: :A real number is computable if its digit sequence can be produced by some algorithm or Turing machine.

He went on to prove that there was no solution to the decision problem by first showing that the halting problem for Turing machines is undecidable : It is not possible to decide algorithmically whether a Turing machine will ever halt.

See also * Probabilistic Turing machine References * citation Section 4.6: Nondeterministic Turing machines, pp. 204–211.

So a computer with a random Turing oracle can compute things that a Turing machine cannot.

These results led to the Church–Turing thesis that any deterministic algorithm that can be carried out by a human can be carried out by a Turing machine.