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  1. We use the following Boolean variables:
  2. \begin{itemize}
  3. \item $a$ represents ``The robot visits region A''
  4. \item $b$ represents ``The robot visits region B''
  5. \item $c$ represents ``The robot visits region C''
  6. \end{itemize}
  7. \begin{itemize}
  8. \item $\varphi_1 \coloneqq AG (a \rightarrow Xc \vee XXc)$
  9. \item $\varphi_2 \coloneqq EG (a \rightarrow Xc \vee XXc)$
  10. \end{itemize}