Question: 1. (10 points) Consider the Turing Machine where is defined as: and 6((gace,s)) = (ace-L) and (grej, s)) = (grej,L) for each s E {a,

1. (10 points) Consider the Turing Machine where is defined as:

1. (10 points) Consider the Turing Machine where is defined as: and 6((gace,s)) = (ace-L) and (grej, s)) = (grej,L) for each s E {a, b, X,-} a) Draw the state diagram of this Turing machine. For clarity, in your diagram you may leave out all outgoing transitions from qaee and qrej and all incoming transitions to qrej Hint: 1,92,3,4,9s form a pentagon so draw that first.) b) Trace through the computation of this machine on input aabb by listing each configuration of the machine in tun c) Will this machine always halt? Why or why not

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