\begin{frame} \frametitle{Kripke Models: Labelling Function} \begin{goal}{} The \emph{labelling function} $\lab{L}$ tells which propositional letters are true in which world: \begin{talign} w \fc p \;\iff\; p \in L(w) \end{talign} \end{goal} $L(w)$ are the propositional letters that are true in world $w$! \pause \medskip \begin{exampleblock}{} \begin{minipage}{.6\textwidth} \exampleA \end{minipage} \begin{minipage}{.39\textwidth} \begin{talign} \lab{L}(w_1) &= \{\; \lab{p} \;\} \\ \lab{L}(w_2) &= \{\; \lab{q} \;\} \\ \lab{L}(w_3) &= \{\; \lab{p,\; r} \;\} \end{talign} \end{minipage} \pause\vspace{3ex} Hence \begin{talign} w_1 &\fc \lab{p} & w_2 &\fc \lab{q} & w_3 &\fc \lab{p} & w_3 &\fc \lab{r} & \mpause[1]{w_3 &\notfc \lab{q}} \end{talign} \end{exampleblock} \end{frame}