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8. (10 pts) Let a k-PDA be a pushdown automaton with k stacks. Thus, a O-PDA is an NFA and a 1-PDA is a conventional

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8. (10 pts) Let a k-PDA be a pushdown automaton with k stacks. Thus, a O-PDA is an NFA and a 1-PDA is a conventional PDA. Show that the model of 2-PDAs has the same power as the model of standard Turing machines. That is, prove that for any 2-PDA we can construct an equivalent TM, and for any TM we can construct an equivalent 2-PDA

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