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Unit 8 · Theory of Computation and Compilers Paper 2 CS · December 2022 (Shift 2)

Directions (Q96–100): A Turing machine for L = {aⁿbᵐcⁿdᵐ | n ≥ 1, m ≥ 1} is designed as M = ({q0, …, q7, qf}, {a, b, c, d}, {a, b, c, d, X1, X2, Y1, Y2, B}, δ, q0, B, {qf}). X1 and X2 mark matched a's and c's; Y1 and Y2 mark matched b's and d's. Part of δ is given in the transition table (shown with each question); cells M1–M5 are to be filled.

What is the Move in the cell with number 'M1' of the resultant Table?

Figure

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Correct answer: B. (q2,X2,L)

Explanation

q1 moves right over a's, b's and marked X2's looking for the next unmarked c. On reading c it marks it X2 and turns back left (q2): (q2, X2, L).

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