Question: [25] Show that each such Turing machine with state set Q and tape alphabet A can be simulated by a Turing machine with state set

[25] Show that each such Turing machine with state set Q and tape alphabet A can be simulated by a Turing machine with state set Q

, d(Q

) = 2, and tape alphabet A such that d(A

)d(Q

) ≤ cd(A)d(Q), for some small positive constant

c. Determine

c. Show that the analogous simulation with d(Q

) = 1 is impossible (implies d(A

) = ∞).

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