\begin{cofactors} $f$ \= $= (((\lnot p \land q) \land r) \lor (p \land \lnot s))$\\ \>$f_{p}$ \= $= \lnot s$\\ \>\>$f_{ps}$ \= $= \false$\\ \>\>$f_{p\lnot s}$ \= $= \true$\\ \>$f_{\lnot p}$ \= $= (q \land r)$\\ \>\>$f_{\lnot pq}$ \= $= r$\\ \>\>\>$f_{\lnot pqr}$ \= $= \true$\\ \>\>\>$f_{\lnot pq\lnot r}$ \= $= \false$\\ \>\>$f_{\lnot p\lnot q}$ \= $= \false$\\ \end{cofactors} The final ROBDD: \begin{center} \scalebox{0.75}{ \begin{tikzpicture}[>=latex,line join=bevel,] \pgfsetlinewidth{1bp} %% \pgfsetcolor{black} % Edge: f_E -> p0 \draw [] (72.5bp,210.99bp) .. controls (72.5bp,200.92bp) and (72.5bp,185.47bp) .. (72.5bp,175.3bp); \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (72.5bp,195.3bp) node {\Large$\bullet$}; % Edge: f_p -> s1 \draw [] (123.5bp,152.99bp) .. controls (123.5bp,142.92bp) and (123.5bp,127.47bp) .. (123.5bp,117.3bp); \draw (123.5bp,137.3bp) node {\Large$\bullet$}; % Edge: f_!p -> q2 \draw [] (21.5bp,152.99bp) .. controls (21.5bp,142.92bp) and (21.5bp,127.47bp) .. (21.5bp,117.3bp); % Edge: f_!pq -> r3 \draw [] (70.712bp,94.988bp) .. controls (68.892bp,84.795bp) and (66.087bp,69.087bp) .. (64.272bp,58.925bp); % Edge: p0 -> q2 \draw [] (65.409bp,155.21bp) .. controls (55.665bp,144.51bp) and (38.243bp,125.38bp) .. (28.531bp,114.72bp); \draw (41.998bp,129.51bp) node {\Large$\bullet$}; % Edge: p0 -> s1 \draw [] (79.591bp,155.21bp) .. controls (89.335bp,144.51bp) and (106.76bp,125.38bp) .. (116.47bp,114.72bp); % Edge: q2 -> r3 \draw [] (27.55bp,96.737bp) .. controls (35.301bp,86.149bp) and (48.662bp,67.901bp) .. (56.425bp,57.297bp); % Edge: q2 -> 4 \draw [] (21.5bp,94.988bp) .. controls (21.5bp,79.384bp) and (21.5bp,50.854bp) .. (21.5bp,49.086bp); \draw (21.5bp,69.086bp) node {\Large$\bullet$}; % Edge: r3 -> 2 \draw [] (60.281bp,36.791bp) .. controls (57.427bp,23.663bp) and (52.8bp,2.3815bp) .. (52.514bp,1.0642bp); % Edge: r3 -> 3 \draw [] (64.497bp,36.791bp) .. controls (67.066bp,23.663bp) and (71.23bp,2.3815bp) .. (71.487bp,1.0642bp); \draw (67.647bp,20.692bp) node {\Large$\bullet$}; % Edge: s1 -> 0 \draw [] (121.71bp,94.988bp) .. controls (118.93bp,79.384bp) and (113.83bp,50.854bp) .. (113.52bp,49.086bp); % Edge: s1 -> 1 \draw [] (125.11bp,94.988bp) .. controls (127.62bp,79.384bp) and (132.2bp,50.854bp) .. (132.49bp,49.086bp); \draw (129.31bp,68.833bp) node {\Large$\bullet$}; % Node: f_E \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (94.0bp,233.0bp) -- (51.0bp,233.0bp) -- (51.0bp,211.0bp) -- (94.0bp,211.0bp) -- cycle; \draw (72.5bp,222.0bp) node {$f$}; \end{scope} % Node: p0 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (72.5bp,164.0bp) ellipse (11.0bp and 11.0bp); \draw (72.5bp,164.0bp) node {$p$}; \end{scope} % Node: f_p \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (145.0bp,175.0bp) -- (102.0bp,175.0bp) -- (102.0bp,153.0bp) -- (145.0bp,153.0bp) -- cycle; \draw (123.5bp,164.0bp) node {$f_{p}$}; \end{scope} % Node: s1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (123.5bp,106.0bp) ellipse (11.0bp and 11.0bp); \draw (123.5bp,106.0bp) node {$s$}; \end{scope} % Node: f_!p \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (43.0bp,175.0bp) -- (0.0bp,175.0bp) -- (0.0bp,153.0bp) -- (43.0bp,153.0bp) -- cycle; \draw (21.5bp,164.0bp) node {$f_{\lnot p}$}; \end{scope} % Node: q2 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (21.5bp,106.0bp) ellipse (11.0bp and 11.0bp); \draw (21.5bp,106.0bp) node {$q$}; \end{scope} % Node: f_!pq \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (94.0bp,117.0bp) -- (51.0bp,117.0bp) -- (51.0bp,95.0bp) -- (94.0bp,95.0bp) -- cycle; \draw (72.5bp,106.0bp) node {$f_{\lnot pq}$}; \end{scope} % Node: r3 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (62.5bp,48.0bp) ellipse (11.0bp and 11.0bp); \draw (62.5bp,48.0bp) node {$r$}; \end{scope} % \end{tikzpicture} } \end{center}