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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.
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