Is there a context-free grammar $G$ for which $L(G) = \lbrace w \in \lbrace 0,1 \rbrace^{*} : \exists a,b \in \lbrace 0,1 \rbrace^{*} \wedge w = aba \wedge |a| = |b| \rbrace$?
This question could be very hard because my lacturer can't solve it.
2026-03-27 13:24:27.1774617867
Existence of context-free grammar over {0,1} alphabet
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Intersect the language with $0^*10^*10^*1$. What do you get?