Q46

A student wrote two context-free grammars G1 and G2 for generating a single C-like array declaration. The dimension of the array is at least one. For example, int a[10] [3]; The grammars use D as the start symbol, and use six terminal symbols int ; id [ ] num.

$$\begin{array}{l|l} \text{Grammar } \textbf{G1} & \text{Grammar } \textbf{G2} \\\hline \text{D} \rightarrow \textbf{int L;} & \text{D} \rightarrow \textbf{int L;}\\ \text{L} \rightarrow \textbf{id [E} & \text{L} \rightarrow \textbf{id E}\\ \text{E} \rightarrow \textbf{num ]} & \text{E} \rightarrow \textbf{E [num]}\\ \text{E} \rightarrow \textbf{num ] [E} & \text{E} \rightarrow \textbf{[num]}\\ \end{array}$$

Which of the grammars correctly generate the declaration mentioned above?