\begin{frame} \frametitle{Correspondence of Formulas and Frame Properties} We now know that the formula \begin{talign} \all p \to p \end{talign} is valid \emph{precisely} on the reflexive frames: \begin{talign} \F \models \all p \to p \quad\riff\quad \text{$\F$ is reflexive} \end{talign}\vspace{-2ex} \pause \begin{exampleblock}{} We say that the formula \;\;$\all p \to p$\;\; \emph{corresponds} with the frame property \emph{reflexivity}. \end{exampleblock} \bigskip\pause In general: \begin{goal}{} A \emph{modal formula} $\phi$ \aemph{corresponds} with a \emph{frame property} $E$ if: \begin{talign} \F \models \phi \quad\riff\quad \text{$\F$ has property $E$} \end{talign} \end{goal} \end{frame}