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\item For the following binary decision diagram:
\begin{center}
\begin{forest}
for tree={circle, draw, no edge,
minimum size=2em,
inner sep=0pt,
s sep=10mm,
l sep=5mm}
[$f$, rectangle, draw, tikz={\draw [fulldot=.5] () to (a.north);}
[$a$, name=a, tikz={\draw [line] () to (b1.north); \draw [fulldot=.5] () to (c.north);}
[$b$, name=b1, tikz={\draw [line, bend right] () to (d.north west); \draw [dot=.5, bend left] () to (d.north east);}
[$d$, name=d, tikz={\draw [line] () to (254:4.6); \draw [fulldot=.5] () to (265:4.42);}]
]
[$c$, name=c, tikz={\draw [line] () to (d.east); \draw [fulldot=.5] () to (291:3.53);}]
]
]
\end{forest}
\end{center}
Check if the following models are satisfying:
\begin{align*}
\Model_1 =~& \{a = \top, b = \top, c = \bot, d = \bot\},\\
\Model_2 =~& \{a = \bot, b = \bot, c = \top, d = \top\},\text{~and~}
\end{align*}
compute \DNF{f}.