Here we give an example of creating a Turing Machine from scratch for the language of all strings a^n b^n c^n where n is at least 0. The trick here is to be able to think at all stages what the TM needs to do, and how the contents on the tape change over time. Also, one only needs to think about the "good" outcomes because any "bad" outcomes can immediately go to the reject state of the TM.
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I am a professor of Computer Science, and am passionate about it. I have taught many courses at several different universities, including several sections of undergraduate and graduate theory-level classes.
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