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We use the following Boolean variables:
\begin{itemize}
\item $a$ represents ``The robot visits region A''
\item $b$ represents ``The robot visits region B''
\item $c$ represents ``The robot visits region C''
\end{itemize}
\begin{itemize}
\item $\varphi_1 \coloneqq AG (a \rightarrow Xc \vee XXc)$
\item $\varphi_2 \coloneqq EG (a \rightarrow Xc \vee XXc)$
\end{itemize}