\begin{frame} \frametitle{Exercises} \begin{exampleblock}{} \begin{center} \begin{tikzpicture}[ default, point/.style={circle, draw=blue, thick, inner sep=3pt, minimum size=9mm}, node distance=20mm] \node (1) [point] {\lab{p}}; \node [alo=1] {$w_1$}; \node [aro=1,align=center] { $\mpause[9]{q \; ?} \mpause[10]{\text{ No}}$\\ $\mpause[6]{\all q \; ?} \mpause[11]{\text{ No}}$\\ $\mpause[4]{\some\all q \; ?} \mpause[13]{\text{ Yes}}$\\ $\mpause[2]{\some\some\some\all q \; ?} \mpause[16]{\text{ \aemph{Yes}}}$ }; \node (2) [point, below left of=1] {\lab{q}}; \node [alo=2] {$w_2$}; \node [blo=2,align=center] {% $\mpause[3]{\some\some\all q \;?} \mpause[15]{\text{ Yes}}$\\ $\mpause[5]{\some\all q \; ?} \mpause[14]{\text{ No}}$\\ $\mpause[8]{\all q \; ?} \mpause[11]{\text{ No}}$\\ $\mpause[9]{q \; ?} \mpause[10]{\text{ Yes}}$ }; \node (3) [point, below right of =1] {\lab{p,\;r}}; \node [aro=3] {$w_3$}; \node [bro=3,align=center] { $\mpause[3]{\some\some\all q \; ?}$\\ $\mpause[7]{\all q \; ?} \mpause[12]{\text{ Yes}}$\\ $\mpause[9]{q \; ?} \mpause[10]{\text{ No}}$ }; \begin{scope}[shorten <= 1mm, shorten >= 1mm, very thick,>=stealth] \draw [->] (1) to[bend left=15] (2); \draw [->] (2) to[bend left=15] (1); \draw [->] (1) to (3); \draw [->] (3) to (2); \end{scope} \end{tikzpicture} \vspace{-2ex} \end{center} \pause \aemph{How to evaluate complex formulas?} \begin{talign} w_1 &\;\models\; \some\some\some\all q & \mbox{\DARKRED{?}} \text{\mpause[16]{ Yes}} \end{talign} \pause Often it is helps to annotate the models! \end{exampleblock} \end{frame}