\begin{frame} \frametitle{Examples: Semantics Intuitive} \begin{exampleblock}{} \vspace{-1ex} \begin{talign} \myex{y}{\myall{x}{R(x,y)}} \end{talign} \pause Find a model for this formula! \pause \begin{center} \begin{tikzpicture}[node distance=15mm, dot/.style={minimum size=4mm, circle, draw=none, fill=black, inner sep=0, outer sep=1mm, text=white}] \node [dot] (1) {1}; \node [dot,below right of=1] (2) {2}; \node [dot,above right of=2] (3) {3}; \begin{scope}[->,thick] \draw (1) -- (2); \draw (3) -- (2); \draw (2) to[out=-45,in=-45-90,looseness=5] (2); \end{scope} \end{tikzpicture} \end{center} \medskip\pause Here the formula is true since for $y = 2$, we have: $\myall{x}{R(x,y)}$ \begin{itemize} \item R(1,2) \item R(2,2) \item R(3,2) \end{itemize} \end{exampleblock} \end{frame}