\begin{frame}{Exercises (2)}
  \begin{block}{}
  A word $w = a_1a_2\cdots a_n$ is called \emph{palindrome} if $w = w^R$, that is
  \begin{talign}
    a_1a_2\cdots a_n = a_n\cdots a_2a_1
  \end{talign}
  \end{block}
  
  \begin{exampleblock}{}
    For instance \emph{hannah} is a palindrome.
  \end{exampleblock}
  \pause\bigskip
  
  \begin{exampleblock}{}
    \emph{Find a grammar} $G$ that generates all palindromes over the alphabet $\Sigma = \{a,b\}$.
    In other words
    \begin{talign}
      L(G) = \{\,w \in \Sigma^* \mid \text{$w$ is a palindrome}\}
    \end{talign}
  \end{exampleblock}
  \pause\bigskip
  
  \begin{exampleblock}{}
    \emph{Find a grammar} $G$ that generates all non-palindromes over the alphabet $\Sigma = \{a,b\}$.
    In other words
    \begin{talign}
      L(G) = \{\,w \in \Sigma^* \mid \text{$w$ is \alert{not} a palindrome}\,\}
    \end{talign}
  \end{exampleblock}
\end{frame}