Question

Construct a Standard Turing Machine (i.e. deterministic 1-tape TM) that decides the language L = {w | w  {0, 1}* in which #(0) = #(1)}. i.e. w contains the equal number of 0’s and 1’s. Describe your algorithm for it and Draw its transition diagram clearly.

Answer 1

To decide the language L = w , a Standard Turing Machine can be constructed using a specific algorithm. The algorithm involves counting the occurrences of 0 and 1 in the input string and accepting or rejecting based on the count. The transition diagram illustrates the flow of the Turing Machine.

Step-by-step explanation:

Standard Turing Machine for L = {w | w ∈ {0, 1}* in which #(0) = #(1)}

To construct a Standard Turing Machine (TM) that decides the language L, we can follow the following algorithm:

1. Read the input string from the tape.
2. Count the number of occurrences of 0 and 1 in the input string.
3. If the count of 0's is equal to the count of 1's, accept the input string; otherwise, reject it.
4. Repeat the algorithm until the end of the input tape is reached.

Here is the transition diagram for the Standard Turing Machine: