Summary
\newcommand{\eyz}{\mathtt{e(y, z)}}
\newcommand{\pxy}{\mathtt{p(x, y)}}
\newcommand{\pyz}{\mathtt{p(y, z)}}
\newcommand{\pxz}{\mathtt{p(x, z)}}
\begin{document}
\hoffset=-1in
\voffset=-1in\newcommand{\exx}{\mathtt{e(x, x)}}
\setbox0\hbox{\begin{tikzpicture}
\matrix (A) [matrix of nodes, row sep=0.8cm, column sep=0cm]
{
& $\mathbf{P}(H)$ & \\
$\vdots$ & $\vdots$ & $\vdots$ \\
$M\cup\dots$ & $M\cup\{\exx\}$ & $M \cup\dots$ \\
& {$M=\{ \exy, \eyz,\pxy, \pyz, \pxz \}$} \\
$M - \dots$ & $M - \{\pyz\}$ & $M - \dots$ \\
$\vdots$ & $\vdots$ & $\vdots$ \\
& $\emptyset$ & \\
};
\draw (A-1-2)--(A-2-1);
\draw (A-1-2)--(A-2-2);
\draw (A-1-2)--(A-2-3);
\draw (A-2-1)--(A-3-1);
\draw (A-2-2)--(A-3-2);
\draw (A-2-3)--(A-3-3);
\draw (A-3-1)--(A-4-2);
\draw (A-3-2)--(A-4-2);
\draw (A-3-3)--(A-4-2);
\draw (A-4-2)--(A-5-1);
\draw (A-4-2)--(A-5-2);
\draw (A-4-2)--(A-5-3);
\draw (A-5-1)--(A-6-1);
\draw (A-5-2)--(A-6-2);
\draw (A-5-3)--(A-6-3);
\draw (A-6-1)--(A-7-2);
\draw (A-6-2)--(A-7-2);
\draw (A-6-3)--(A-7-2);
\end{tikzpicture}}
\pdfpageheight=\dimexpr\ht0+\dp0\relax
\pdfpagewidth=\wd0
\shipout\box0
\stop}}
|date=2023-03-07
|source=Own work
|author=Siddharthist
|permission=
|other versions=
}}
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English Hasse diagram of Herbrand interpretations of a Datalog program