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q1 q2 q3 q4 q5 q_reject q_accept 0 -> u, R x -> R 0 -> x, R x -> R 0 -> R x -> R 0 -> x, R u -> L 0 -> L x -> L u -> R u -> R u -> R u -> R x -> R Figure 3.2. State diagram of a Turing machine

          q1
q2
q3
q4
q5
q_reject
q_accept
0 -> u, R
x -> R
0 -> x, R
x -> R
0 -> R
x -> R
0 -> x, R
u -> L
0 -> L
x -> L
u -> R
u -> R
u -> R
u -> R
x -> R
Figure 3.2. State diagram of a Turing machine

q1
q2
q3
q4
q5
qreject
qaccept
0 -> u, R
x -> R
0 -> x, R
x -> R
0 -> R
x -> R
0 -> x, R
u -> L
0 -> L
x -> L
u -> R
u -> R
u -> R
u -> R
x -> R
Figure 3.2. State diagram of a Turing machine

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Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

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Solved by Expert Akash M

12/09/2023

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Draw the state diagram of a Turing decider that recognizes the language {0^n 1^n 0^n 1^n where n >= 0}. Scanning from left to right, convert the first 0 to a blank, skip the rest of the 0's and then X's, and convert the first 1 to X, then skip the rest of the 1's and then the X's, and convert the first 0 to X, then skip the rest of the 0's and then X's, and convert the first 1 to X. Reject if this cannot be done. Otherwise, keep going left until reaching the blank and repeat the process. If no 0 is found after the blank, then continue scanning right, skipping all the X's until a 0, 1, or blank is encountered. If a 0 or 1 is encountered, reject it. If a blank is encountered, accept it. You only have to draw the state diagram (aka formal description) of the above algorithm (aka informal description).

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Transcript

00:01 Each state is represented by a number and transitions are denoted by the input symbol.

00:34 The symbol to write the direction to move and tap head.

00:38 That is l for left and r for right.

01:04 And the next state here is the state r.

01:12 R as follow.

01:19 State 0 is to q0...

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