\begin{frame}{Exercises (1)}
% (Groups of two, 1 minute)
\begin{exampleblock}{}
\emph{Show that the following language is context-free:}
\begin{talign}
\{\, a^n\, b^m\, c^{2n} \mid n\geq 0,\; m\ge 0 \,\}
\end{talign}
\pause
We give a context-free grammar for the language:
\pause
\begin{align*}
S &\to aScc \mpause[1]{\mid T} \\
\mpause{T &\to bT \mid \lambda}
\end{align*}
The start variable is $S$.
\end{exampleblock}
% (Groups of two, 1 minute)
\end{frame}