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Let's define a Turing machine variant which only allows the tape head to move right or stay put. Prove that this type of machine is

Let's define a Turing machine variant which only allows the tape head to move right or stay put. Prove that this type of machine is NOT as powerful as a Turing machine with a tape head that can move left or right or stay put. What class of languages is recognized by this type of machine? Why?

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