\begin{cofactors} $f$ \= $= ((\lnot x \lor \lnot y) \land (x \land (y \lor z)))$\\ \>$f_{y}$ \= $= \false$\\ \>$f_{\lnot y}$ \= $= (x \land z)$\\ \>\>$f_{\lnot yz}$ \= $= x$\\ \>\>\>$f_{\lnot yzx}$ \= $= \true$\\ \>\>\>$f_{\lnot yz\lnot x}$ \= $= \false$\\ \>\>$f_{\lnot y\lnot z}$ \= $= \false$\\ \end{cofactors} The final ROBDD: \begin{center} \scalebox{0.75}{ \begin{tikzpicture}[>=latex,line join=bevel,] \pgfsetlinewidth{1bp} %% \pgfsetcolor{black} % Edge: f_E -> y0 \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_!y -> z1 \draw [] (25.254bp,152.99bp) .. controls (29.124bp,142.67bp) and (35.113bp,126.7bp) .. (38.918bp,116.55bp); % Edge: f_!yz -> x2 \draw [] (108.92bp,94.988bp) .. controls (105.24bp,84.669bp) and (99.535bp,68.698bp) .. (95.911bp,58.551bp); % Edge: y0 -> z1 \draw [] (67.68bp,154.0bp) .. controls (62.115bp,143.61bp) and (53.01bp,126.62bp) .. (47.408bp,116.16bp); \draw (56.852bp,133.79bp) node {\Large$\bullet$}; % Edge: y0 -> 0 \draw [] (72.5bp,152.99bp) .. controls (72.5bp,137.38bp) and (72.5bp,108.85bp) .. (72.5bp,107.09bp); % Edge: z1 -> x2 \draw [] (49.452bp,97.213bp) .. controls (59.005bp,86.514bp) and (76.085bp,67.385bp) .. (85.607bp,56.72bp); % Edge: z1 -> 3 \draw [] (42.5bp,94.988bp) .. controls (42.5bp,79.384bp) and (42.5bp,50.854bp) .. (42.5bp,49.086bp); \draw (42.5bp,69.086bp) node {\Large$\bullet$}; % Edge: x2 -> 1 \draw [] (90.503bp,36.791bp) .. controls (87.934bp,23.663bp) and (83.77bp,2.3815bp) .. (83.513bp,1.0642bp); % Edge: x2 -> 2 \draw [] (94.719bp,36.791bp) .. controls (97.573bp,23.663bp) and (102.2bp,2.3815bp) .. (102.49bp,1.0642bp); \draw (98.237bp,20.608bp) 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: y0 \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 {$y$}; \end{scope} % Node: f_!y \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 {$f_{\lnot y}$}; \end{scope} % Node: z1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (42.5bp,106.0bp) ellipse (11.0bp and 11.0bp); \draw (42.5bp,106.0bp) node {$z$}; \end{scope} % Node: f_!yz \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (134.0bp,117.0bp) -- (91.0bp,117.0bp) -- (91.0bp,95.0bp) -- (134.0bp,95.0bp) -- cycle; \draw (112.5bp,106.0bp) node {$f_{\lnot yz}$}; \end{scope} % Node: x2 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (92.5bp,48.0bp) ellipse (11.0bp and 11.0bp); \draw (92.5bp,48.0bp) node {$x$}; \end{scope} % \end{tikzpicture} } \end{center}