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Question I need help with

So I have done part a) but I have no clue what I am supposed to do for part b), I have been trying for days to wrap my head around and even asked my fellow course mates, none of which seem to know themselves.

The way I understand it they give me automaton of

a->b->c

But what do they mean about the next state a',b',c' automaton for which is not displayed.

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If the current state is one of $a,b$, then the following state is one of $b,c$.

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  • $\begingroup$ is that all the question is asking me to do? $\endgroup$ – Minvy Nov 18 '19 at 22:59
  • $\begingroup$ So it seems. Sometimes the answer is simple. $\endgroup$ – Yuval Filmus Nov 19 '19 at 6:31

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