\begin{cofactors} $f$ \= $= ((\lnot x \land \lnot y) \lor (x \land y))$\\ \>$f_{y}$ \= $= x$\\ \>\>$f_{yx}$ \= $= \true$\\ \>\>$f_{y\lnot x}$ \= $= \false$\\ \>$f_{\lnot y}$ \= $= \lnot f_y$\\ \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 [] (21.5bp,152.99bp) .. controls (21.5bp,142.92bp) and (21.5bp,127.47bp) .. (21.5bp,117.3bp); % Edge: f_y -> x1 \draw [] (63.382bp,94.988bp) .. controls (53.412bp,84.04bp) and (37.646bp,66.729bp) .. (28.57bp,56.763bp); % Edge: y0 -> x1 \draw [] (16.385bp,96.003bp) .. controls (14.19bp,85.491bp) and (14.205bp,68.213bp) .. (16.429bp,57.79bp); % Edge: y0 -> x1 \draw [] (26.615bp,96.003bp) .. controls (28.81bp,85.491bp) and (28.795bp,68.213bp) .. (26.571bp,57.79bp); \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (30.134bp,77.47bp) node {\Large$\bullet$}; % Edge: x1 -> 0 \draw [] (19.503bp,36.791bp) .. controls (16.934bp,23.663bp) and (12.77bp,2.3815bp) .. (12.513bp,1.0642bp); % Edge: x1 -> 1 \draw [] (23.719bp,36.791bp) .. controls (26.573bp,23.663bp) and (31.2bp,2.3815bp) .. (31.486bp,1.0642bp); \draw (27.237bp,20.608bp) node {\Large$\bullet$}; % Node: f_E \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 {$f$}; \end{scope} % Node: y0 \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 {$y$}; \end{scope} % Node: f_y \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 {$f_{y}$}; \end{scope} % Node: x1 \begin{scope} \definecolor{strokecol}{rgb}{0.0,0.0,0.0}; \pgfsetstrokecolor{strokecol} \draw (21.5bp,48.0bp) ellipse (11.0bp and 11.0bp); \draw (21.5bp,48.0bp) node {$x$}; \end{scope} % \end{tikzpicture} } \end{center}