How to show R*S(U+TR*S)* is equivalent to (R+SU*T)SU*?

How to show R*S(U+TR*S)* is equivalent to (R+SU*T)SU*?

Summary

I was studying the given finite automata. Using $$R_{ij}^{(k)}$$ method, I found out that the Regular Expression that this automaton accepts is...

Description

I was studying the given finite automata. Using $$R_{ij}^{(k)}$$ method, I found out that the Regular Expression that this automaton accepts is...

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