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Is there any language that $\bar L^*= (\bar L)^*$?
2026-03-25 09:38:13.1774431493
Is there any language that $\bar L^*= (\bar L)^*$?
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If we denote the empty string by $\epsilon$, then by definition $\epsilon\in A^*$ for any language $A$. Consequently, $\epsilon\notin\overline{(L^*)}$ and $\epsilon\in\left(\overline{L}\right)^*$ so the left and right sides of your equation can never be equal.