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figures_naturalli.tex
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figures_naturalli.tex
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%
% -----
% The full Finite State Automata over inference states
% -----
%
\newcommand\completeFSA{
\begin{tikzpicture}[shorten >=1pt,node distance=2.0cm,auto,semithick,inner sep=2pt,bend angle=15,
% (styles)
every state/.style={draw=red!100,very thick,fill=red!10},
accepting/.style={draw=blue!50,very thick,fill=blue!10},
initial/.style={draw=green!90,very thick,fill=green!10}
]
% (states)
\node[state,initial] (equivalent) {\equivalent};
\node[state,accepting] (reverse) [above right=of equivalent] {\reverse};
\node[state,accepting] (cover) [right=of reverse] {\cover};
\node[state] (negate) [below right=of cover] {\negate};
\node[state,initial] (forward) [below right=of equivalent] {\forward};
\node[state] (alternate) [right=of forward] {\alternate};
% (paths)
\path[->] (equivalent) edge node {\negate} (negate);
\path[->] (negate) edge [bend right] node {\forward} (cover)
edge [bend left] node {\alternate} (reverse)
edge [bend left] node {\reverse} (alternate)
edge [bend right] node {\cover} (forward)
edge [loop right] node {\equivalent} (negate)
(reverse) edge [bend left] node {\negate\cover} (cover)
edge [loop above] node {\reverse\equivalent} (reverse)
(cover) edge [bend left] node {\negate\alternate} (reverse)
edge [loop above] node {\forward\equivalent} (cover)
(forward) edge [bend left] node {\negate\alternate} (alternate)
edge [loop below] node {\forward\equivalent} (forward)
(alternate) edge [bend left] node {\negate\cover} (forward)
edge [loop below] node {\reverse\equivalent} (alternate)
;
\end{tikzpicture}
}
%
% -----
% A Finite State Automata for the collapsed inference states
% -----
%
\newcommand\collapsedFSAImpl[3]{
\begin{tikzpicture}[shorten >=1pt,node distance=2.0cm,auto,semithick,inner sep=2pt,bend angle=30,
% (styles)
every state/.style={draw=red!100,very thick,fill=red!#1},
accepting/.style={draw=blue!50,very thick,fill=blue!#3},
initial/.style={draw=green!90,very thick,fill=green!#2}
]
% (states)
\node[state,initial] (valid) {$~~\varphi \Rightarrow \psi~~$};
\node[state,accepting] (unknown) [above right=of valid] {$~~\varphi \nRightarrow \psi~~$};
\node[state] (invalid) [below right=of unknown] {$\varphi \Rightarrow \lnot \psi$};
% (edges)
\path[->] (valid) edge [bend left] node {\negate\alternate} (invalid)
edge [bend left] node {\reverse\cover} (unknown)
edge [loop left] node {\equivalent\forward} (valid)
(invalid) edge [bend left] node {\negate\cover} (valid)
edge [bend right] node {\alternate\forward} (unknown)
edge [loop right] node {\equivalent\reverse} (invalid)
(unknown) edge [loop above] node {any} (unknown)
;
\end{tikzpicture}
}
\newcommand\collapsedFSA{\collapsedFSAImpl{10}{10}{10}}
\newcommand\collapsedFSARed{\collapsedFSAImpl{50}{10}{10}}
\newcommand\collapsedFSAGreen{\collapsedFSAImpl{10}{50}{10}}
\newcommand\collapsedFSABlue{\collapsedFSAImpl{10}{10}{50}}
%
% -----
% A Teaser Search Path
% -----
%
\newcommand\teaserSearch{
\tikzstyle{level 1}=[level distance=2.0cm, sibling distance=3.5cm]
\tikzstyle{level 2}=[level distance=2.0cm, sibling distance=2cm]
\tikzstyle{level 3}=[level distance=2.0cm, sibling distance=2cm]
\tikzstyle{level 4}=[level distance=2.0cm, sibling distance=2cm]
\tikzstyle{fact} = [text width=7em, text centered]
\tikzstyle{sink} = [text width=7em, text centered,
rectangle, draw]
\tikzset{
goodPath/.style={draw=blue}
}
% "No carnivores eat animals"
% false because: "The cat ate a mouse"
\begin{tikzpicture}[grow=down, sloped]
\node[fact] {\w{No carnivores eat animals?}}
child {
node[fact] {\w{\textbf{The} carnivores eat animals}}
child {
node[fact] {\w{The \textbf{cat} \\ eats animals}}
child {
node[fact] {\w{The cat \\ ate \textbf{an} animal}}
child {
node[sink] {\w{The cat \\ ate a \textbf{mouse}}}
edge from parent [goodPath] node[below] {\rotatebox{90}{$\reverse$}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{$\equivalent$}}
}
edge from parent [goodPath] node[below] {$\rotatebox{90}{\reverse}$}
}
edge from parent [goodPath] node[above] {$\rotatebox{340}{\negate}$}
}
child {
node[fact] {\w{No \textbf{animals} \\ eat animals}}
child {
node[fact] {\w{No animals \\ eat \textbf{things}}}
[clockwise from=-50,sibling angle=20]
child foreach \x in {1,2,3,4} {
[clockwise from=-55,sibling angle=20]
% child foreach \x in {1,2,3,4} {}
}
edge from parent node[above,shift={(-1 ex,0 ex)}] {$\rotatebox{-63}{\reverse}$}
}
child {
node[fact] {$\dots$}
}
edge from parent node[below] {$\rotatebox{90}{\reverse}$}
}
child {
node[fact] {$\dots$}
};
\end{tikzpicture}
}
%
% -----
% Teaser Search Paths For Presentation
% -----
%
\def\setstyles{
\tikzstyle{level 1}=[level distance=1.5cm, sibling distance=3.5cm]
\tikzstyle{level 2}=[level distance=1.5cm, sibling distance=2cm]
\tikzstyle{level 3}=[level distance=1.5cm, sibling distance=2cm]
\tikzstyle{level 4}=[level distance=1.5cm, sibling distance=2cm]
\tikzstyle{fact} = [text width=7em, text centered, line width=2pt]
\tikzstyle{boxfact} = [text width=7em, text centered, line width=2pt,
rectangle, draw=black, line width=1pt]
\tikzstyle{shortfact} = [text width=3em, text centered, line width=2pt]
\tikzstyle{sink} = [text width=7em, text centered,
rectangle, draw=blue, line width=2pt]
\tikzstyle{unksink} = [text width=7em, text centered,
rectangle, draw=blue]
\tikzstyle{othersink} = [text width=5em, text centered,
rectangle, draw=blue]
\tikzset{
goodPath/.style={draw=blue}
}
\tikzset{
goodPathDown/.style={draw=blue,->}
}
\tikzset{
goodPathUp/.style={draw=blue,<-}
}
\tikzset{
strongPath/.style={draw=blue, line width=3pt}
}
}
\def\setstylesposter{
\tikzstyle{level 1}=[level distance=3.75cm, sibling distance=8.5cm]
\tikzstyle{level 2}=[level distance=3.75cm, sibling distance=4.75cm]
\tikzstyle{level 3}=[level distance=3.75cm, sibling distance=4.75cm]
\tikzstyle{level 4}=[level distance=3.75cm, sibling distance=4.75cm]
\tikzstyle{fact} = [text width=7em, text centered, line width=2pt]
\tikzstyle{boxfact} = [text width=7em, text centered, line width=2pt,
rectangle, draw=black, line width=1pt]
\tikzstyle{shortfact} = [text width=3em, text centered, line width=2pt]
\tikzstyle{sink} = [text width=7em, text centered,
rectangle, draw=blue, line width=2pt]
\tikzstyle{unksink} = [text width=7em, text centered,
rectangle, draw=blue]
\tikzstyle{othersink} = [text width=5em, text centered,
rectangle, draw=blue]
\tikzset{
goodPath/.style={draw=blue}
}
\tikzset{
goodPathDown/.style={draw=blue,->}
}
\tikzset{
goodPathUp/.style={draw=blue,<-}
}
\tikzset{
strongPath/.style={draw=blue, line width=3pt}
}
}
\def\teaserPremises{
\node[right = of main](db){\includegraphics[height=2.2cm]{../img/database.png}};
\node[othersink, right = of main](tails) {\w{All cats have tails}};
\node[othersink, right = of tails](kittens) {\w{All kittens are cute}};
\draw (db.north west) -- (main.north west);
\draw (db.south west) -- (main.south west);
\draw (db.north east) -- (kittens.north east);
\draw (db.south east) -- (kittens.south east);
}
\def\teaserPremisesPoster{
\node[right = of main](db){\includegraphics[height=4.5cm]{../img/database.png}};
\node[othersink, right = of main](tails) {\w{All cats have tails}};
\node[othersink, right = of tails](kittens) {\w{All kittens are cute}};
\draw (db.north west) -- (main.north west);
\draw (db.south west) -- (main.south west);
\draw (db.north east) -- (kittens.north east);
\draw (db.south east) -- (kittens.south east);
}
\newcommand\teaserManyPremises{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[unksink](main) {\w{The cat ate a mouse}};
\teaserPremises
\end{tikzpicture}
}
\newcommand\teaserBlindInferenceNaturalOrderBlind{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[sink](main) {\w{The cat ate a mouse}}
child {
node[fact] {$\dots$}
child {
node[fact] {$\dots$}
child {
node[fact] {\includegraphics[height=0.75cm]{../img/fact.jpg}}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
};
\teaserPremises
\end{tikzpicture}
}
\newcommand\teaserBlindInferenceNaturalOrder{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[sink](main) {\w{The cat ate a mouse}}
child {
node[fact] {$\dots$}
child {
node[fact] {$\dots$}
child {
node[fact] {\false{No carnivores eat animals}}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPathDown] node[below] {\rotatebox{90}{}}
};
\teaserPremises
\end{tikzpicture}
}
\def\glass{\includegraphics[height=0.75cm]{../img/magnifying_glass.png}}
\def\glassposter{\includegraphics[height=2.0cm]{../img/magnifying_glass.png}}
\newcommand\teaserBlindInference{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[fact](query) {\w{No carnivores eat animals?}}
child {
node[fact] {$\dots$}
child {
node[fact] {$\dots$}
child {
node[sink](main) {\w{The cat \\ ate a \textbf{mouse}}}
edge from parent [goodPathUp] node[below] {}
}
edge from parent [goodPathUp] node[below] {}
}
edge from parent [goodPathUp] node[below] {}
};
\teaserPremises
\node[right = of query]{\hspace{-1.75cm}\glass};
\end{tikzpicture}
}
\newcommand\teaserInference{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[fact](query) {\w{No carnivores eat animals?}}
child {
node[fact] {\w{\textbf{The} carnivores eat animals}}
child {
node[fact] {\w{The \textbf{cat} \\ eats animals}}
child {
node[fact] {\w{The cat \\ ate \textbf{an} animal}}
child {
node[sink](main) {\w{The cat \\ ate a \textbf{mouse}}}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
};
\teaserPremises
\node[right = of query]{\hspace{-1.75cm}\glass};
\end{tikzpicture}
}
\newcommand\teaserFullDerivation{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[fact](query) {\w{No carnivores eat animals?}}
child {
node[fact] {\w{\textbf{The} carnivores eat animals}}
child {
node[fact] {\w{The \textbf{cat} \\ eats animals}}
child {
node[fact] {\w{The cat \\ ate \textbf{an} animal}}
child {
node[sink](main) {\w{The cat \\ ate a \textbf{mouse}}}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {$\rotatebox{90}{}$}
}
edge from parent [goodPath] node[above] {$\rotatebox{340}{}$}
}
child {
node[fact] {$\dots$}
child {
node[fact] {$\dots$}
[clockwise from=-50,sibling angle=20]
child foreach \x in {1,2,3,4} {
[clockwise from=-55,sibling angle=20]
% child foreach \x in {1,2,3,4} {}
}
edge from parent node[above,shift={(-1 ex,0 ex)}] {}
}
child {
node[shortfact] {$\dots$}
}
edge from parent node[below] {$\rotatebox{90}{}$}
}
child {
node[shortfact] {$\dots$}
};
\teaserPremises
\node[right = of query]{\hspace{-1.75cm}\glass};
\end{tikzpicture}
}
\newcommand\teaserFullDerivationPoster{
\setstylesposter
\begin{tikzpicture}[grow=down, sloped]
\node[fact](query) {\w{No carnivores eat animals?}}
child {
node[fact] {\w{\textbf{The} carnivores eat animals}}
child {
node[fact] {\w{The \textbf{cat} \\ eats animals}}
child {
node[fact] {\w{The cat \\ ate \textbf{an} animal}}
child {
node[sink](main) {\w{The cat \\ ate a \textbf{mouse}}}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {\rotatebox{90}{}}
}
edge from parent [goodPath] node[below] {$\rotatebox{90}{}$}
}
edge from parent [goodPath] node[above] {$\rotatebox{340}{}$}
}
child {
node[fact] {$\dots$}
child {
node[fact] {$\dots$}
[clockwise from=-50,sibling angle=20]
child foreach \x in {1,2,3,4} {
[clockwise from=-55,sibling angle=20]
% child foreach \x in {1,2,3,4} {}
}
edge from parent node[above,shift={(-1 ex,0 ex)}] {}
}
child {
node[shortfact] {$\dots$}
}
edge from parent node[below] {$\rotatebox{90}{}$}
}
child {
node[shortfact] {$\dots$}
};
\teaserPremisesPoster
\node[right = of query]{\hspace{-1.75cm}\glassposter};
\end{tikzpicture}
}
%
% -----
% The MacCartney Relations (as Venn Diagrams)
% -----
%
\definecolor{light}{rgb}{.926,.969,.691}
\definecolor{dark}{rgb}{.5,.801,.730}
%\definecolor{dark}{rgb}{.172,.5,.719}
\newcommand\frameVenn{
\draw (-1,-1) rectangle (1,1);
\draw (0.8,0.8) node {$\ensuremath{\mathcal{D}}$};
}
\newcommand\frameVennPoster{
\draw (-2.2,-2.2) rectangle (2.5,2.5);
\draw (1.8,1.8) node {$\ensuremath{\mathcal{D}}$};
}
\newcommand\relName[1]{
\draw (0, -1.8) node {\small{(\textit{#1})}};
}
\newcommand\equivalentVenn{
\begin{tikzpicture}
\def\vennA{(0.0,0.0) circle (0.5)}
\def\vennB{(0.0,0.0) circle (0.49)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\begin{scope}
\fill[pattern=north west lines, pattern color=dark] \vennB;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \equivalent \psi$};
\relName{equivalence}
\end{tikzpicture}
}
\newcommand\forwardVenn{
\begin{tikzpicture}
\def\vennA{(-0.1,-0.1) circle (0.2)}
\def\vennB{(-0.0,-0.0) circle (0.5)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=light] \vennB;
\end{scope}
\begin{scope}
\fill[fill=dark] \vennA;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \forward \psi$};
\relName{forward entail.}
\end{tikzpicture}
}
\newcommand\reverseVenn{
\begin{tikzpicture}
\def\vennA{(-0.1,-0.1) circle (0.2)}
\def\vennB{(0.0,0.0) circle (0.5)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=dark] \vennB;
\end{scope}
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \reverse \psi$};
\relName{reverse entail.}
\end{tikzpicture}
}
\newcommand\negateVenn{
\begin{tikzpicture}
\def\vennA{(0,-1) rectangle (1,1)}
\def\vennB{(-1,-1) rectangle (0,1)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=dark] \vennB;
\end{scope}
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \negate \psi$};
\relName{negation}
\end{tikzpicture}
}
\newcommand\alternateVenn{
\begin{tikzpicture}
\def\vennA{(0.4,-0.4) circle (0.5)}
\def\vennB{(-0.4,0.4) circle (0.5)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=dark] \vennB;
\end{scope}
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \alternate \psi$};
\relName{alternation}
\end{tikzpicture}
}
\newcommand\coverVenn{
\begin{tikzpicture}
\def\vennA{(-0.2,-1) rectangle (1,1)}
\def\vennB{(-1,-1) rectangle (0.2,1)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=dark] \vennB;
\end{scope}
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\begin{scope}
\clip \vennA;
\fill[pattern=north west lines, pattern color=dark] \vennB;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \cover \psi$};
\relName{cover}
\end{tikzpicture}
}
\newcommand\independentVenn{
\begin{tikzpicture}
\def\vennA{(0.25,-0.25) circle (0.5)}
\def\vennB{(-0.25,0.25) circle (0.5)}
\draw \vennB node [below] {};
\draw \vennA node [above] {};
\begin{scope}
\fill[fill=dark] \vennB;
\end{scope}
\begin{scope}
\fill[fill=light] \vennA;
\end{scope}
\begin{scope}
\clip \vennA;
\fill[pattern=north west lines, pattern color=dark] \vennB;
\end{scope}
\frameVenn
\draw (0, -1.3) node {$\varphi \independent \psi$};
\relName{independence}
\end{tikzpicture}
}
%
% -----
% NatLog Monotonicity
% -----
%
\def\monoHeader{
\begin{tikzpicture}[node distance=0cm,
start chain=going below,
punktchain/.style={
rectangle,
rounded corners,
draw=black, very thick,
text width=6em,
minimum height=2em,
text centered,
on chain},
black/.style={
text width=6em,
minimum height=3.25ex,
text centered,
text=black,
on chain},
gray/.style={
text width=6em,
minimum height=3.25ex,
text centered,
text=gray,
on chain},
]
}
\newcommand\monoUp[4]{
\monoHeader
\node[black]{#4};
\node[black]{#3};
\node[punktchain, color=blue]{$\uparrow$ #2};
\node[gray]{#1};
\end{tikzpicture}
}
\newcommand\monoDown[4]{
\monoHeader
\node[gray]{#4};
\node[gray]{#3};
\node[punktchain, color=blue]{$\downarrow$ #2};
\node[black]{#1};
\end{tikzpicture}
}
\newcommand\monoUpR[4]{
\monoHeader
\node[gray]{#4};
\node[gray]{#3};
\node[punktchain, color=blue]{$\uparrow$ #2};
\node[black]{#1};
\end{tikzpicture}
}
\newcommand\monoDownR[4]{
\monoHeader
\node[black]{#4};
\node[black]{#3};
\node[punktchain, color=blue]{$\downarrow$ #2};
\node[gray]{#1};
\end{tikzpicture}
}
\newcommand\monoFlat[4]{
\monoHeader
\node[gray]{#4};
\node[gray]{#3};
\node[punktchain, color=blue]{$---$ #2};
\node[gray]{#1};
\end{tikzpicture}
}
\def\monoHeaderPoster{
\begin{tikzpicture}[node distance=0cm,
start chain=going below,
punktchain/.style={
rectangle,
rounded corners,
draw=black, very thick,
text width=3em,
minimum height=2em,
text centered,
on chain},
black/.style={
text width=3em,
minimum height=3.25ex,
text centered,
text=black,
on chain},
gray/.style={
text width=3em,
minimum height=3.25ex,
text centered,
text=gray,
on chain},
]
}
\newcommand\monoUpPoster[4]{
\monoHeaderPoster
\node[black]{#4};
\node[black]{#3};
\node[punktchain, color=blue]{$\uparrow$ #2};
\node[gray]{#1};
\end{tikzpicture}
}
\newcommand\monoDownPoster[4]{
\monoHeaderPoster
\node[gray]{#4};
\node[gray]{#3};
\node[punktchain, color=blue]{$\downarrow$ #2};
\node[black]{#1};
\end{tikzpicture}
}
\newcommand\monoFlatPoster[4]{
\monoHeaderPoster
\node[gray]{#4};
\node[gray]{#3};
\node[punktchain, color=blue]{$---$ #2};
\node[gray]{#1};
\end{tikzpicture}
}
%
% -----
% Graph Fragments
% -----
%
\newcommand\exampleTreeImpl[5]{
\setstyles
\tikzstyle{level 2}=[level distance=1.5cm, sibling distance=3.5cm]
\begin{tikzpicture}[grow=down, sloped]
\node[fact] {\w{\gray{#1}}}
child {
node[boxfact] {\w{#2?}}
child {
node[#5] {\w{#3}}
edge from parent [strongPath] node[above] {}
}
child {
node[fact] {\w{#4}}
}
child {
node[fact] {$\dots$}
}
};
\end{tikzpicture}
}
\newcommand\exampleTree[4]{\exampleTreeImpl{#1}{#2}{#3}{#4}{fact}}
\newcommand\exampleTreeEnd[4]{\exampleTreeImpl{#1}{#2}{#3}{#4}{sink}}
\def\exampleStepOne{\exampleTree{ROOT \\ $~$}
{No carnivores eat animals}
{\darkblue{The} carnivores eat animals}
{No \darkblue{animals} eat animals}}
\def\exampleStepTwo{\exampleTree{No carnivores eat animals}
{The carnivores eat animals}
{The \darkblue{feline} eats animals}
{\darkblue{All} carnivores eat animals}}
\def\exampleStepThree{\exampleTree{The carnivores eat animals}
{The feline eats animals}
{The \darkblue{cat} eats animals}
{The cat eats \darkblue{chordate}}}
\def\exampleStepFour{\exampleTree{The feline eats animals}
{The cat eats animals}
{The cat eats \darkblue{chordates}}
{The \darkblue{kitty} eats animals}}
\def\exampleStepFive{\exampleTree{The cat eats animals}
{The cat eats chordates}
{The cat eats \darkblue{mice}}
{The cat eats \darkblue{dogs}}}
\def\exampleStepSix{\exampleTreeEnd{The cat eats chordates}
{The cat eats mice}
{The cat ate \darkblue{a} mouse}
{The \darkblue{kitty} eats mice}}
\def\exampleStepEnd{
\setstyles
\begin{tikzpicture}[grow=down, sloped]
\node[sink](main) {\w{The cat ate a mouse}};
\end{tikzpicture}
}
\def\exampleInsertions{\exampleTree{The cat eats chordates}
{The cat ate mouse?}
{The cat ate \textbf{a} mouse}
{The cat ate \textbf{catnip} mice}}
%
% -----
% Fact Trie
% -----
%
\def\settriestyles{
\tikzstyle{level 1}=[level distance=2.5cm, sibling distance=2.0cm]
\tikzstyle{level 2}=[level distance=2.5cm, sibling distance=2.0cm]
\tikzstyle{level 3}=[level distance=2.5cm, sibling distance=2.0cm]
\tikzstyle{level 4}=[level distance=2.5cm, sibling distance=2.0cm]
\tikzstyle{trie} = [text width=1em, text centered]
\tikzstyle{sink} = [text width=7em, text centered,
rectangle, draw=blue]
\tikzstyle{othersink} = [text width=5em, text centered,
rectangle, draw=blue]
\tikzset{
goodPath/.style={draw=blue}
}
\tikzset{
path/.style={draw=black, line width=1pt}
}
\tikzset{
strongPath/.style={draw=blue, line width=3pt}
}
\tikzset{
dotpath/.style={draw=black, line width=1pt, dashed}
}
}
\newcommand\factTrie[3]{
\begin{tikzpicture}[grow=right, sloped]
\settriestyles
\def\dot{\Huge{\ensuremath{\cdot}}}
\node[trie] {\dot}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{Socrates}}
}
child {
node[trie] {\dot}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{fish}}
}
child {
node[trie] {\dot}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{sleeps}}
}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{likes}}
}
child {
node[trie] {\dot}
child {
node[trie] {\dot}
edge from parent [#3] node[above] {\w{a}}
}
child {
node[trie] {\dot}
edge from parent [#2] node[above] {\w{my}}
}
child {
node[trie] {\dot}
edge from parent [#1] node[above] {\w{catnip}}
}
edge from parent [strongPath] node[above] {\w{ate}}
}
edge from parent [strongPath] node[above] {\w{cat}}
}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{economist}}
}
edge from parent [strongPath] node[above] {\w{The}};
}
child {
node[trie] {\dot}
edge from parent [path] node[above] {\w{All}}
};
\end{tikzpicture}
}
%
% -----
% Lattice
% -----
%
\newcommand\lattice{
\begin{tikzpicture}[->,>=stealth,shorten >=1pt,auto,node distance=1.1cm,
semithick]
\node[] (top) {$\top$};
\node[] (animal) [below of=top] {\w{animal}};
\node[] (feline) [below left of=animal] {\w{feline}};
\node[] (cat) [below of=feline] {\w{cat}};
\node[] (dog) [below right of=animal] {\w{dog}};
\node[] (bot) [below right of=cat] {$\bot$};
\path (animal) edge (top)
(feline) edge (animal)
(cat) edge (feline)
(dog) edge (animal)
(bot) edge (cat)
edge (dog);
\end{tikzpicture}
}
%
% Standalone figures
%
\newcommand\polarityOne{
\monoHeader
\node[black]{animal};
\node[black]{feline};
\node[punktchain,color=blue]{cat};
\node[black]{house cat};
\end{tikzpicture}
}
\newcommand\polarityTwo{
\monoUp{house cat}{cat}{feline}{animal}
}
\newcommand\polarityThree{
\monoUp{cat}{feline}{animal}{living thing}
}
\newcommand\polarityFour{
\monoUp{feline}{animal}{living thing}{thing}
}
\newcommand\polarityFive{
\monoDown{feline}{animal}{living thing}{thing}
}
\newcommand\polaritySix{
\monoDown{house cat}{cat}{feline}{animal}
}
\newcommand\conceptnetResults{
\begin{tabular}{lcc}
System & P & R \\
\hline
Direct Lookup & 100.0 & \textbf{12.1} \\
NaturalLI Only & 88.8 & 40.1 \\
NaturalLI & 90.6 & \textbf{49.1} \\
\end{tabular}
}
%
% Dependency Trees
%
\def\treeBlank{
\begin{dependency}[text only label, label style={above}]
\begin{deptext}[column sep=-0.00cm]
Born \& in \& a \& small \& town \&[-1ex] , \& she \& took \& the \&
midnight \& train \& going \& anywhere \&[-1ex] . \\
\end{deptext}
\depedge[edge unit distance=1.75ex]{1}{5}{nmod:in}
\depedge[edge unit distance=1.5ex]{5}{4}{amod}
\depedge[edge unit distance=2.25ex]{5}{3}{det}
\depedge[edge unit distance=1.4ex]{8}{1}{advcl}
\depedge[edge unit distance=2.25ex]{8}{7}{nsubj}
\depedge[edge unit distance=2.25ex]{8}{11}{dobj}
\depedge[edge unit distance=1.5ex]{11}{10}{nn}
\depedge[edge unit distance=1.9ex]{11}{9}{det}
\depedge[edge unit distance=1.5ex]{11}{12}{advcl}
\depedge[edge unit distance=1.5ex]{12}{13}{dobj}
\end{dependency}
}
\def\treeEdge{
\begin{dependency}[text only label, label style={above}]
\begin{deptext}[column sep=-0.00cm]
Born \& in \& a \& small \& town \&[-1ex] , \& she \& took \& the \&
midnight \& train \& going \& anywhere \&[-1ex] . \\
\end{deptext}
\depedge[edge unit distance=1.75ex]{1}{5}{nmod:in}
\depedge[edge unit distance=1.5ex]{5}{4}{amod}
\depedge[edge unit distance=2.25ex]{5}{3}{det}
\depedge[edge unit distance=1.4ex, edge style={darkred!60!black,thick,densely dotted}]{8}{1}{\textbf{\darkred{advcl}}}
\depedge[edge unit distance=2.25ex]{8}{7}{nsubj}
\depedge[edge unit distance=2.25ex]{8}{11}{dobj}
\depedge[edge unit distance=1.5ex]{11}{10}{nn}
\depedge[edge unit distance=1.9ex]{11}{9}{det}
\depedge[edge unit distance=1.5ex]{11}{12}{advcl}
\depedge[edge unit distance=1.5ex]{12}{13}{dobj}
\end{dependency}
}
\def\treeSubj{
\begin{dependency}[text only label, label style={above}]
\begin{deptext}[column sep=-0.00cm]
Born \& in \& a \& small \& town \&[-1ex] , \& \darkred{she} \& took \& the \&
midnight \& train \& going \& anywhere \&[-1ex] . \\
\end{deptext}
\depedge[edge unit distance=1.75ex]{1}{5}{nmod:in}
\depedge[edge unit distance=1.5ex]{5}{4}{amod}
\depedge[edge unit distance=2.25ex]{5}{3}{det}
\depedge[edge unit distance=1.4ex, edge style={darkred!60!black,thick,densely dotted}]{8}{1}{\textbf{\darkred{advcl}}}
\depedge[edge unit distance=2.25ex, edge style={blue!60!black,thick}]{8}{7}{\darkblue{nsubj}}
\depedge[edge unit distance=2.25ex]{8}{11}{dobj}
\depedge[edge unit distance=1.5ex]{11}{10}{nn}
\depedge[edge unit distance=1.9ex]{11}{9}{det}
\depedge[edge unit distance=1.5ex]{11}{12}{advcl}
\depedge[edge unit distance=1.5ex]{12}{13}{dobj}
\end{dependency}
}
\def\treeObj{
\begin{dependency}[text only label, label style={above}]
\begin{deptext}[column sep=-0.00cm]
Born \& in \& a \& small \& town \&[-1ex] , \& she \& took \& \darkred{the} \&
\darkred{midnight} \& \darkred{train} \& \darkred{going} \&
\darkred{anywhere} \&[-1ex] . \\
\end{deptext}
\depedge[edge unit distance=1.75ex]{1}{5}{nmod:in}
\depedge[edge unit distance=1.5ex]{5}{4}{amod}
\depedge[edge unit distance=2.25ex]{5}{3}{det}