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Peter Linz Edition 5 Exercise 9.1 Question 4 (Page No. 238)

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$\text{Example}:$ For $\Sigma = \{a,b\}$ design a Turing machine that accepts

                                                                               $L = \{a^nb^n:n\geq 1\}$.

Is there any input for which the Turing machine in Example goes into an infinite loop$?$
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