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g design a turing machine with input alphabet {a, b} that accepts a string if and only if the string has the property described. (a) the input string has an even number of b's. keyboard arrow down solution (b) the input string has the same number of a's and b's.

Sagot :

a) The Turing machine that accepts a string containing even number of b's is (see in attachments).

b) The Turing machine that accepts a string containing  equal number of a’s and b’s is (see in attachments).

Turing machine:

The Turing machine is an abstract machine that manipulates symbols on a strip of tape in accordance with a set of rules. It is a mathematical model of computation. The paradigm is straightforward, but it can implement any computer algorithm. The machine runs on a never-ending tape of memory that is divided into distinct cells, each of which can store a single symbol selected from a limited range of symbols known as the machine's alphabet. It has a "head" that is always placed over one of these cells during operation, and it has a "state" chosen from a limited number of states. Turing machines demonstrated that mechanical computation's power has some fundamental limitations.

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