\begin{frame}[t]{Example (Interpretation of Quantifiers)} \examplemodel \pause\medskip \begin{itemize} \item $\mpause[1]{\model{\amodel} \satisfiesnot} \formula{\forallst{x}{\,\unpred{P}{x}}}$ \updatepause \item $\mpause{\model{\amodel} \satisfies} \formula{\lognot{\forallst{x}{\,\unpred{P}{x}}}}$ % $\M \;\mw\; \niet \alle x Px$ \updatepause \item $\mpause{\model{\amodel} \satisfies} \formula{\existsst{x}{\unpred{P}{x}}}$ %$\M \;\mw\; \eris x Px$ \pause \updatepause \item $\mpause{\model{\amodel} \satisfiesnot} \formula{\forallst{x}{( \logimp{\unpred{P}{x}} {\existsst{y}{\,\binpred{R}{x}{y}}} )}}$ %$\M \;\mw\; \alle x (Px \dan \eris y Rxy)$? \updatepause \item $\mpause{\model{\amodel} \satisfies} \formula{\forallst{x}{( \logor{\unpred{P}{x}} {\binpred{R}{x}{x}})}}$ %$\M \;\mw\; \alle x (Px \of Rxx)$? \updatepause \item $\mpause{\model{\amodel} \satisfiesnot} \formula{\existsst{x}{\forallst{y}{\,\binpred{R}{x}{y}}}}$ %$\M \;\mw\; \eris x \alle y Rxy$? \updatepause \item $\mpause{\model{\amodel} \satisfies} \formula{\forallst{x}{( \logimp{\existsst{y}{\binpred{R}{x}{y}}} {\existsst{y}{(\logand{\binpred{R}{x}{y}}{\unpred{P}{y}})}} )}}$ \end{itemize} \end{frame}