/
negative.tex
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negative.tex
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% ----------------------------------------------------------------------
\begin{frame}<1-6>[fragile]{\only<2-5>{\alert{Negative}\ }Recursion}
\begin{columns}
\begin{column}{0.05\textwidth}\end{column}
\begin{column}{0.29\textwidth}
\texttt{%
\{a\}. \newline
\alt<5>{\alert<5>{\{b\}}}{\phantom{\{}b\phantom{\}}}:- \alt<4-5>{\alert<4->{not c}}{c}. \newline
\alt<5>{\alert<5>{\{c\}}}{\phantom{\{}c\phantom{\}}}:- \alt<3-5>{\alert<3->{not a}}{a}. \newline
\alt<5>{\alert<5>{\{a\}}}{\phantom{\{}a\phantom{\}}}:- {\alt<2-5>{\alert<2->{not b}}{b}}. \newline
\only<6>{\alert<6>{\phantom{\{}d\phantom{\}}:- e, not a.}}\newline
\only<6>{\alert<6>{\phantom{\{}e\phantom{\}}:- d, not b.}}
}
\end{column}
\begin{column}{0.5\textwidth}
\vspace{-1cm}
\begin{center}
%$
%P
%=
%\left\{
% \{ a \} \leftarrow, \ \
% \alt<5>{\alert<5>{\{b\}}}{b} \leftarrow \alt<4-5>{\alert<4->{\neg c}}{c}, \ \
% \alt<5>{\alert<5>{\{c\}}}{c} \leftarrow \alt<3-5>{\alert<3->{\neg a}}{a}, \ \
% \alt<5>{\alert<5>{\{a\}}}{a} \leftarrow \alt<2-5>{\alert<2->{\neg b}}{b}\only<6>{, \ \ }
% \only<6>{\alert<6>{d \leftarrow e, \neg a}, \ \ }
% \only<6>{\alert<6>{e \leftarrow d, \neg b}}
%\right\}
%$
%
%\vspace{0.2cm}
%\begin{center}
\begin{tikzpicture}
[examples, x=1cm, y=-1cm,
every node/.style={node distance=1.2cm and 1cm, on grid}]
%
% smodel
%
\invisible<2-5>{
% line 0
\node[smodel] (node01) at ( 0, 0) {};
% line 1
\node[smodel, below left=of node01] (node11) {} edge [arrow] (node01);
\node[smodel, below right=of node01] (node12) {a} edge [arrow] (node01);
% line 2
\node[smodel, below=of node11] (node21) {} edge [arrow] (node11);
\node[smodel, below=of node12] (node22) {a c b} edge [arrow] (node12);
% oks
\visible<-5>{
\node[any, below=of node12, xshift=11.5mm, yshift=-2mm] {\OK};
\node[any, below=of node11, xshift=4.5mm, yshift=-2mm] {\OK};
}
} % \invisible
%
% rule sequence
%
\node[rule, right=of node12, xshift=1.5cm] (rule_seq_1) {\scode \{a\}.\hspace{8mm}}; %{$\{a\} \leftarrow$};
\node[rule, below=of rule_seq_1] (rule_seq_2)
{\scode \alt<5>{\alert<5>{\{b\}}}{b} :- \alt<4-5>{\alert<4->{not c}}{c}.};
\node[rule, below=of rule_seq_2, yshift=7mm] (rule_seq_3)
{\scode \alt<5>{\alert<5>{\{c\}}}{c} :- \alt<3-5>{\alert<3->{not a}}{a}.};
\alt<5>
{\node[rule, below=of rule_seq_3, yshift=7mm] (rule_seq_4)
{\scode \alt<5>{\alert<5>{\{a\}}}{a} :- \alt<2-5>{\alert<2->{not b}}{b}.};}
{\node[rule, below=of rule_seq_3, yshift=8mm] (rule_seq_4)
{\scode \alt<5>{\alert<5>{\{a\}}}{a} :- \alt<2-5>{\alert<2->{not b}}{b}.};}
%
% additional
%
\only<6>{\alert<6>{
% rules
\node[rule, below=of rule_seq_4, xshift=6mm] (rule_seq_5) {\scode d :- e, not a.};
\node[rule, below=of rule_seq_5, yshift=7mm ] (rule_seq_6) {\scode e :- d, not b.};
\draw[very thick, dotted, rounded corners]
($ (rule_seq_5.north west) + (0mm,1mm) $) rectangle ($ (rule_seq_6.south east) + (-0mm,-0mm) $);
% line 3
\node[smodel] at (node21 |- rule_seq_5) (node31) {} edge [arrow] (node21);
\node[smodel] at (node22 |- rule_seq_5) (node32) {a c b} edge [arrow] (node22);
% oks
\node[any] at ($ (node31.south east) + (2.5mm,0) $) {\OK};
\node[any] at ($ (node32.south east) + (3.5mm,0) $) {\OK};
}}
% rectangle
\alt<2-5>{\alt<5>{ % recursive choices
\draw[very thick, dotted, rounded corners]
($ (rule_seq_2.north west) + (0mm,1mm) $) rectangle ($ (rule_seq_4.south east) + (-0mm,-1mm) $);
}{ % recursive normal
\draw[very thick, dotted, rounded corners]
($ (rule_seq_4.south west) + (-2mm,-1mm) $) rectangle ($ (rule_seq_4.south east) + (0mm,15mm) $);
}}{ % non recursive
\draw[very thick, dotted, rounded corners]
($ (rule_seq_2.north west) + (0mm,1mm) $) rectangle ($ (rule_seq_4.south east) + (-1mm,-1mm) $);
}
% (Not Easy ASP)
\visible<2->{
\alt<5>{
\node[align=center] at ($ (rule_seq_4.east) + (1.23cm,6mm) $)
{\alt<6>{\phantom{\Large{\textbf{\alert{Not}}}}}{\Large{\textbf{\alert{Not}}}} \\[2mm]
\Large{\textbf{\alert{Easy ASP}}}};
}{
\node[align=center] at ($ (rule_seq_4.east) + (1.4cm,5mm) $)
{\alt<6>{\phantom{\Large{\textbf{\alert{Not}}}}}{\Large{\textbf{\alert{Not}}}} \\[2mm]
\Large{\textbf{\alert{Easy ASP}}}};
} % \alt
} % \visible
\end{tikzpicture}
\end{center}
\end{column}
\begin{column}{0.25\textwidth}\end{column}
\end{columns}
\end{frame}