# Simplification of regular expressions

$(0+1)^*.1.(0+1) + (0+1)^*.1.(0+1)$ and $(((0^*.1^*)+1)^*(0+1)^*)^*$

I have studied Arden's theorem $R=Q+RP$ has a unique solution $R=QP^*$ and some identities like $E+RR=R$ and $E.R=R$.

I have tried something on equation (factorizing) but I'm not sure that I had the correct solution.

• What exactly is your question? I see only statements here, but I don't see a question. – D.W. Oct 11 '17 at 0:06
• The use of AND in a regular expression is somewhat unusual. – Rick Decker Oct 11 '17 at 2:39