I have trouble understanding my text-book on how to convert a DFA to a Regular Expression using "equation-method"(don't no what it's called). If someone could explain step by step in detail what's going on it would be great(or maybe a few steps to get me going). (Old exam-task)
I have this DFA:
And the solution is:
I think I understand the left column. First expression in left column: $E_0 = 0E_1 + 1E_2$. $E_0$ is a regular expression that "represents the start-state $q_0$". You can choose two paths from $q_0$. On a zero you go to $q_1$ (Zero concatenated with the regular expression $E_1$). Or on a one you go to $q_2$ (one concatenated with the regular expression $E_2$). And the same principle goes for the rest of the column. How do I continue from this?