\begin{frame} \frametitle{Examples: Semantics Intuitive} \begin{exampleblock}{} Assume that \begin{itemize} \item $R(x,y)$ means `$x$ knows $y$'. \end{itemize} \pause\medskip What is then the intuitive meaning of the following formulas? \begin{itemize} \pause \item $\myall{x}{\myex{y}{R(x,y)}}$ \pause \\ \hint{Everybody knows somebody.} \medskip \pause \item $\myex{y}{\myall{x}{R(x,y)}}$ \pause \\ \hint{Somebody is known by everybody.} \medskip \pause \item $\myall{y}{\myex{x}{R(x,y)}}$ \pause \\ \hint{Everybody is known by somebody.} \medskip \pause \item $\myex{x}{\myall{y}{R(x,y)}}$ \pause \\ \hint{Somebody knows everybody.} \medskip \end{itemize} \end{exampleblock} \pause \begin{alertgoal}{} For the exam you need to be able to interpret formulas! \end{alertgoal} \end{frame}