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\item \self
Consider an ordinary traffic junction with incoming lanes from the north, south, east and west. We want to formulate relevant constraints that a traffic light system has to fulfill.
Give a set of propositional variables that model whether the north and south \emph{or} the east and the west get the
\begin{itemize}
\itemsep0em
\item green,
\item yellow or
\item red
\end{itemize}
light, respectively. \\
Formulate the following sentences using \emph{$CTL^\star$}:
\begin{enumerate}[label=(\alph*)]
\item The north/south lanes will never get the green light at same time as the east/west lanes.
\item Whenever the north/south lane receive the green light it will stay green until it changes to yellow.
\item When the east/west lane has the red light, it will eventually get the yellow and red light until the light switches to green.
\end{enumerate}