\item \self Consider the following set of states defined by the valuations: 
\begin{align*}
    (v_0 \imp \top, v_1 \imp \top, v_2 \imp \top, v_3 \imp \bot),
    (v_0 \imp \top, v_1 \imp \bot, v_2 \imp \top, v_3 \imp \bot),\\
    (v_0 \imp \top, v_1 \imp \bot, v_2 \imp \bot, v_3 \imp \bot),
    (v_0 \imp \top, v_1 \imp \top, v_2 \imp \bot, v_3 \imp \bot),
\end{align*}
Represent this set of states symbolically using a propositional formula and simplify this formula as best as possible.