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    Original file (SVG file, nominally 1,496 × 753 pixels, file size: 22 KB)

    Summary

    Description
    English: Solving a SAT instance applying the Cube and Conquer paradigm

    Illustration of the decisions made by the look-ahead phase and the five resulting cubes. Decision heuristics choose the variables (circles). Cutoff heuristics choose when to stop dividing the problem. CDCL solvers will then solve the partial problems (rectangles) independently.

    Source code
    \documentclass[tikz,convert={outfile=\jobname.svg}]{standalone} 
\usetikzlibrary{trees}
\begin{document}
\begin{tikzpicture}[grow=right,
level 1/.style={sibling distance=3cm,level distance=2cm},
level 2/.style={sibling distance=1.5cm,level distance=3cm},
level 3/.style={sibling distance=1.5cm,level distance=3cm},
every internal node/.style={circle,draw},
every leaf node/.style={rectangle,draw}
]

\node (Root) [circle,draw] {$x_4$}
child {
    node (A) [circle,draw] {$x_8$}
    child { node (B) [rectangle,draw] {$F \wedge (\neg x_4 \wedge \neg x_8)$ } }
    child {
        node  (C) [circle,draw] {$x_9$}
        child {
            node (D) [rectangle,draw] {$F \wedge (\neg x_4 \wedge x_8 \wedge \neg x_9)$ }
        }
        child {
            node (E) [rectangle,draw] {$F \wedge (\neg x_4 \wedge x_8 \wedge x_9)$ }
        }
    }
}
child {
    node (F) [circle,draw] {$x_1$}
    child { node (G) [rectangle,draw] {$F \wedge (x_4 \wedge \neg x_1)$ } }
    child { node (H) [rectangle,draw] {$F \wedge (x_4 \wedge x_1)$ } }
};

\begin{scope}[nodes = {draw = none}]
    \path (Root) -- (A) node [near start, below]  {$0$};
    \path (A)     -- (B) node [near start, below]  {$0$};
    \path (A)     -- (C) node [near start, above] {$1$};
    \path (C)     -- (D) node [near start, below] {$0$};
    \path (C)     -- (E) node [near start, above] {$1$};
    \path (Root) -- (F) node [near start, above] {$1$};
    \path (F)     -- (G) node [near start, below]  {$0$};
    \path (F)     -- (H) node [near start, above] {$1$};
\end{scope}
\end{tikzpicture}
\end{document}
    Date
    Source Own work
    Author Vwinkler
    SVG development
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     The SVG code is valid.
     This vector image was created with Potrace.

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    inception

    15 February 2020

    media type

    image/svg+xml

    checksum

    9b2b005704216fac61aaf22261cb1671ab3b1c54

    determination method or standard: SHA-1

    data size

    22,926 byte

    height

    753 pixel

    width

    1,496 pixel

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    Date/TimeThumbnailDimensionsUserComment
    current17:06, 15 February 2020Thumbnail for version as of 17:06, 15 February 20201,496 × 753 (22 KB)VwinklerCross-wiki upload from en.wikipedia.org

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