Question of the Day 22-05-2019

Question of the Day
GATE 2017   CS   Question No. 37

Consider the context-free grammars over the alphabet {a,b,c} given below. S and T are non-terminals.

$\style{font-family:'Times New Roman'}{\begin{array}{l}G_1:S\rightarrow\;aSb\vert T,T\rightarrow cT\vert\in\\G_2:S\rightarrow bSa\vert T,T\rightarrow cT\vert\in\end{array}}$

The language $\style{font-family:'Times New Roman'}{L(G_{1\;})\;\cap\;L(G_2)}$ is