Questionnaire-2024/propositional_logic/0002_sol.tex

\begin{enumerate}
    \item $p:$ \quad Alice will take the bike to get to the concert.

          $q:$ \quad Alice will take the tram to get to the concert.
          $$ (p \land \lnot q) \lor (\lnot p \land q) $$
    \item $p:$ \quad Students will have to take an exam at the end of the semester.
          $$ p $$
    \item $p:$ \quad He is hungry.

          $q:$ \quad The fridge is empty.

          $r:$ \quad He cooks for himself.
          $$ p \land \lnot q \imp r $$
\end{enumerate}