\begin{frame}{Introduction to Grammars} \vspace{-1ex} \begin{exampleblock}{} \vspace{-.5ex} \begin{tabular}{rcl} $\langle$sentence$\rangle$ & $\to$ & $\langle$article$\rangle$ $\langle$noun$\rangle$ $\langle$verb$\rangle$ $\langle$article$\rangle$ $\langle$noun$\rangle$ \\[-.25ex] $\langle$article$\rangle$ & $\to$ & the \\[-.25ex] $\langle$article$\rangle$ & $\to$ & a \\[-.25ex] $\langle$noun$\rangle$ & $\to$ & farmer \\[-.25ex] $\langle$noun$\rangle$ & $\to$ & cow \\[-.25ex] $\langle$verb$\rangle$ & $\to$ & milks \end{tabular} \vspace{-.5ex} \end{exampleblock} \medskip \alert{The farmer milks a cow} is a sentence in the language. \begin{minipage}{.8\textwidth} \vspace{-1ex} \begin{talign} \mpause[1]{\langle\text{sentence}\rangle} \mpause{&\Rightarrow \langle\text{article}\rangle \langle\text{noun}\rangle \langle\text{verb}\rangle \langle\text{article}\rangle \langle\text{noun}\rangle} \\ \mpause{&\Rightarrow \text{the }\langle\text{noun}\rangle \langle\text{verb}\rangle \langle\text{article}\rangle \langle\text{noun}\rangle} \\ \mpause{&\Rightarrow \text{the farmer }\langle\text{verb}\rangle \langle\text{article}\rangle \langle\text{noun}\rangle} \\ \mpause{&\Rightarrow \text{the farmer milks }\langle\text{article}\rangle \langle\text{noun}\rangle} \\ \mpause{&\Rightarrow \text{the farmer milks a }\langle\text{noun}\rangle} \\ \mpause{&\Rightarrow \text{the farmer milks a cow}} \end{talign} \end{minipage}~% \begin{minipage}{.19\textwidth} \includegraphics[height=22.5mm]{milk-cow.jpg} \end{minipage} % \smallskip % % \mpause{\alert{The cow milks the farmer} is also a sentence in the language.} \end{frame}