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3. Use Mathematical Induction on n to prove that if the TM (above) is started with...

3. Use Mathematical Induction on n to prove that if the TM (above) is started with a blank tape, after 10 n + 4 steps the machine will be in state 3 with the tape reading: . . . 0(0111)n01 ↑ 1100 . . . .

That is, although there are three states with halting instructions, show why none of those instructions is actually encountered, and formulate this into a proof that this machine does not halt when started with a blank tape. (See over page for Q4.) First downloaded: 23/5/2019 at 15:54::16 1

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