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In the above discussion, we stated at one point that Turing machines appear to be more powerful than pushdown automata. Because the tape of a

In the above discussion, we stated at one point that Turing machines appear to be more powerful than pushdown automata. Because the tape of a Turing machine can always be made to behave like a stack, it would seem that we could have actually claimed that Turing machines are more powerful. What important factor was not taken into account in the argument that must be addressed before such a claim is justified?
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