Question

Define a Turing machine.

Short answer

An alphabet I has the space symbol B&a four-tuple made of a finite set \(S\) of states.

Step-by-step solution

General form

Turing machine\(T = \left( {S,\,I,\,f,\,{s_0}} \right)\):It is a four-tuple consisting of a finite set \(S\) of states, an alphabet \(I\) containing the blank symbol \(B\), having a partial function \(f\) from \(S \times I\) to \(S \times I \times \left\{ {R,\,L} \right\}\), and an initial state \({s_0}\).

Step 2: Define the Turing machine

Turing machine:

A four-tuple consisting of a finite set \(S\) of states, an alphabet \(I\) containing the space symbol \(B\), a subfunction \(f\) from \(S \times I\) to \(S \times I \times \left\{ {R,\,L} \right\}\), and an initial state \({s_0}\).

Hence, the definition of the Turing machine is shown above.