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Could someone provide an explanation of how to convert this DFA into a regular expression? I have found three methods online, ie: How to convert finite automata to regular expressions?

but they are all very confusing to me.

The automaton is:

$$M = ((1,2,3), 1, \{a,b\}, \delta, \{1,3\})$$ where

$$\delta(1,a) = 2\\ \delta(1,b) = 2\\ \delta(2,a) = 2\\ \delta(2,b) = 3\\ \delta(3,b) = 2\\ \delta(3,a) = 1$$

chibro2
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