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\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.