\begin{frame}
\frametitle{Introduction}
\begin{minipage}{0.5\textwidth}
\begin{center}
\begin{tikzpicture}[
default,
point/.style={circle, draw=blue, thick, inner sep=3pt, minimum size=9mm},
node distance=20mm]
\node (3) [point] {};
\node [lo=3] {$w_3$};
\node (2) [point, below right of=3] {\alt<-2>{$\lab{q}$}{}};
\node [aro=2] {$w_2$};
\node (1) [point, below left of=3] {$\lab{q}$};
\node [alo=1] {$w_1$};
\begin{scope}[shorten <= 1mm, shorten >= 1mm, very thick,>=stealth]
\draw [->] (1) to (3);
\draw [->] (3) to (2);
\draw [->] (3) to[out=45,in=45+90,looseness=4] (3);
\end{scope}
\draw [rounded corners=2mm, dashed] (-25mm,-20mm) rectangle (25mm,11mm);
\node at (-25mm,8mm) [anchor=north east,inner sep=2mm] {$\mathcal{M}_{\alt<-2>{1}{2}}$};
\end{tikzpicture}
\end{center}
\end{minipage}
\begin{minipage}{0.49\textwidth}
\begin{talign}
\onslide<-2>{
w_2 &\fc \all\some q \\
w_3 &\fc q \to \all\some q \\
w_2 &\fc q \\
w_3 &\fc \some q \\
w_1 &\fc \all\some q \\[1ex]
}
\M_1 & \models q \to \all\some q \\
\mpause[2]{ \M_2 & \not\models q \to \all\some q }
\end{talign}
\end{minipage}
\smallskip\pause
\begin{alertblock}{Question}
Can you change the labelling such that such that
\begin{talign}
\M \models q \to \all\some q
\end{talign}
is no longer valid?
\end{alertblock}
\pause\smallskip
Yes, for example, by setting $\lab{L}(w_2) = \{\; \}$\;.
\end{frame}