initial commit - Thomas' files
This commit is contained in:
Oana Fabiana Andreescu
commit
fac4bf19d8
9
.gitignore
vendored
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9
.gitignore
vendored
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*~
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*.aux
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*.bbl
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*.blg
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*.log
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*.pdf
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*.out
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*.toc
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*.lof
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3219
biblio.bib
Executable file
3219
biblio.bib
Executable file
File diff suppressed because it is too large
Load Diff
244
dependency-macros.tex
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244
dependency-macros.tex
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%%% Macros %%%
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%% % Values
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%% %Variant Values
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%% \newcommand{\plainvval}[4]
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%% {\ensuremath{#1_{#2}[#3_{#4}] }}
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%% \newcommand{\plainvvalindex}[1]
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%% {\ensuremath{C_{#1}[v_{#1}]}}
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%% \def\commonvval{\plainvval{C}{i}{v}{i}}
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%% Dependency macros
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%% \addto\captionsenglish{
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%% \renewcommand{\tablename}{Figure}
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%% }
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\newcolumntype{L}[1]{>{\raggedright}m{#1}}
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%misc macros
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\newcommand{\comment}[1]{\ifdraft{\small\textbf{#1}}{}}
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\def\inputs{\ensuremath{\mathcal{I}}}
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\def\writ{\mathscr{V}^{+}}
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\newcommand\mmyrbox[2][fill=red!20]{%
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\tikz[baseline]\node[%
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inner ysep=0pt,
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inner xsep=2pt,
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anchor=text,
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rectangle,
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rounded corners=1mm,
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#1] {\strut#2};%
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}
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\newcommand\mmygbox[2][fill=lightgray!30]{%
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\tikz[baseline]\node[%
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inner ysep=0pt,
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inner xsep=2pt,
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anchor=text,
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rectangle,
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rounded corners=1mm,
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#1] {\strut#2};%
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}
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\def\everything{\ensuremath \top}
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\def\nothing{\ensuremath \oslash}
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\def\impossible{\ensuremath \bot}
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%dependency domain macros
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\def\udep{\mathcal{D}}
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\def\dom{\mathit{\delta}}
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\newcommand{\structdom}[2]{\{#1; \ldots; #2\}}
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\newcommand{\vardom}[2]{[#1; \ldots; #2]}
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\newcommand{\adom}[1]{\langle #1 \rangle}
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\newcommand{\aexcdom}[3]{\langle #1 \triangleright #2: \; #3 \rangle}
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\newcommand{\adomusual}{\langle \dom_{\mathit{def}} \triangleright i \;: \; \dom_{\mathit{exc}} \rangle}
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\newcommand{\addef}{\langle \dom_{\mathit{def}} \triangleright i \;: \; \dom_{\mathit{exc}} \rangle}
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\newcommand{\dstruct}[1]{f_{#1} \mapsto \dom_{#1}}
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\newcommand{\dostruct}[1]{f_{#1} \mapsto \dom'_{#1}}
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\newcommand{\djstruct}[1]{f_{#1} \mapsto \dom_{#1} \vee \dom'_{#1}}
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\newcommand{\djnothingstruct}[1]{f_{#1} \mapsto \oslash \vee \dom_{#1}}
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\newcommand{\dmstruct}[1]{f_{#1} \mapsto \dom_{#1} \oplus \dom'_{#1}}
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\newcommand{\dvar}[1]{C_{#1} \mapsto \dom_{#1}}
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\newcommand{\dovar}[1]{C_{#1} \mapsto \dom'_{#1}}
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\newcommand{\djvar}[1]{C_{#1} \mapsto \dom_{#1} \vee \dom'_{#1}}
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\newcommand{\djnothingvar}[1]{C_{#1} \mapsto \oslash \vee \dom_{#1}}
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\newcommand{\dmvar}[1]{C_{#1} \mapsto \dom_{#1} \oplus \dom'_{#1}}
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\newcommand{\deferred}[1]{\textrm{\textbf{\textsf{Deferred}}}(#1)}
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\newcommand{\subst}{\blacktriangleleft(\sigma, \phi)}
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\def\ddef {\ensuremath{\mathit{\dom_{def}}}}
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\def\dexc {\ensuremath{\mathit{\dom_{exc}}}}
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\def\dodef{\ensuremath{\mathit{\dom'_{def}}}}
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\def\doexc{\ensuremath{\mathit{\dom'_{exc}}}}
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\def\dleq{\sqsubseteq}
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%intra macros
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\def\intra{\Delta}
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%inter macro
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\def\inter{\mathscr{D}}
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%% \def\defstruct{ \{.f_1\pi_1, \; \ldots, \; .f_n\pi_n\} }
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%% \def\defstructo{ \{.f_1\pi'_1, \; \ldots, \; .f_n\pi'_n\} }
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%% \def\defvar{[@C_1\pi_1, \; \ldots, \;@C_n\pi_n]}
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%% \def\defvaro{[@C_1\pi'_1, \; \ldots, \;@C_n\pi'_n]}
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%% \def\defcell{\langle i \rangle \pi_{\mathit{exc}}}
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%% \def\defcello{\langle i \rangle \pi'_{\mathit{exc}}}
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%% \def\defout{\langle * \setminus i \rangle \pi_{\mathit{out}}}
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%% \def\defouto{\langle * \setminus i \rangle \pi'_{\mathit{out}}}
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%% \def\defarr{\langle * \rangle \pi_{\mathit{def}}}
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%% \def\defarro{\langle * \rangle \pi'_{\mathit{def}}}
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%% \def\pexc{\pi_{\mathit{exc}}}
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%% \def\pdef{\pi_{\mathit{def}}}
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%% \def\piout{\pi_{\mathit{out}}}
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%% \def\pleq{\underset{\circ}{\dleq}}
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%% \def\pjoin{\underset{\circ}{\vee}}
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%% \def\pf{\underset{\circ}{.f}}
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%% \def\pc{\underset{\circ}{@C}}
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%% \def\pind{\underset{\circ}{\langle i \rangle}}
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%% \def\pout{\underset{\circ}{\langle * \setminus i \rangle}}
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%% \def\parr{\underset{\circ}{\langle * \rangle}}
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%% \def\wtpath{\underset{\circ}{\vdash}}
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%% \def\wfpath{\underset{\circ}{\vDash}}
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%% \def\app{\mathit{::}\pi_a }
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%% \def\appf{\mathit{::}.f }
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%% \def\appc{\mathit{::}@C }
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%% \def\appa{\mathit{::}\langle * \rangle}
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%% \def\appo{\mathit{::}\langle * \setminus i \rangle}
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%% \def\appi{\mathit{::}\langle i \rangle}
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%equations macros
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\newcommand{\transfer}[3]{\llbracket#2\rrbracket_{#3}(#1)}
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\newcommand{\killo}[2]{(\intra_{#1} \setminus #2)}
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\def\binlabels{
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\begin{tabular}{@{}l@{}}
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$\lambda_{true}$ \\\\
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$\lambda_{false}$ \\
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\end{tabular} }
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\def\ltrue{\lambda_{true}}
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%join comment macros
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\def\veps{\varepsilon}
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\def\vepsi{\varepsilon_i}
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\def\eei{(\varepsilon \vee \varepsilon_i)}
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\def\ddj{(\delta \vee \delta_j)}
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%projection macros
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\newcommand{\projcell}[1][i]{\langle#1\rangle}
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\newcommand{\projext}[1][i]{\langle * \setminus#1\rangle}
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\def\projarr{\langle * \rangle}
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%paths macros
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%% \def\arrpath{\langle * \rangle}
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%% \def\cellpath{\langle i \rangle}
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%% \def\outpath{\langle * \setminus i \rangle}
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%wf
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\def\inps{\mathcal{I}}
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\def\outs{\mathcal{O}}
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% tabular column
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\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
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% tikz figures for example
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% Preparation for Variant, Structure and Array diagrams with arrows and red and green
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\def\tmul{*1mm}
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\def\dtriangle#1#2#3#4#5{%
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\tikz[remember picture, baseline={(dottriangle-x#1.base)}]{%
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\node[inner sep=0pt] (dottriangle-x#1) {\phantom{$x$}};%
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\node[dot,#2] (dottriangle-dot#1) at ($(dottriangle-x#1.base)!.5!(dottriangle-x#1.north)$) {};%
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%% The anchors and size of the isosceles triangle are not well positionned.
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% \node[draw, shape=isosceles triangle, shape border rotate=90, anchor=north,#2,isosceles triangle stretches,inner sep=0pt,minimum width=#3\tmul,minimum height=#4\tmul] (t) at (dot.center) {};
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\draw[#2] (dottriangle-dot#1.center) -- ++(.5*#3\tmul,-#4\tmul) coordinate (dottriangle-te#1) -- ++(-#3\tmul,0) coordinate (dottriangle-tw#1) -- cycle;
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\coordinate (dottriangle-tc#1) at (barycentric cs:dottriangle-dot#1=1,dottriangle-te#1=1,dottriangle-tw#1=1);
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\begin{pgfonlayer}{background}
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\node[fit=(dottriangle-dot#1) (dottriangle-te#1) (dottriangle-tw#1),#5] (dottriangle-bg#1) {};
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\end{pgfonlayer}
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}%
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}
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\def\defaultinnersep{1.3mm}
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\tikzset{
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resetinnersep/.style={inner sep=\defaultinnersep,},
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}
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\def\dottriangle#1#2#3#4#5#6{%
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\node[resetinnersep,inner sep=0pt,anchor=base west,opacity=0] (predottriangle-x-#2) at #1 {\phantom{$x$}};%
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\node[resetinnersep,dot,anchor=south,#3,xshift=.5*#4\tmul,opacity=0] (predottriangle-dot-#2) at (predottriangle-x-#2.base west) {};%
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%% The anchors and size of the isosceles triangle are not well positionned.
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% \node[draw, shape=isosceles triangle, shape border rotate=90, anchor=north,#3,isosceles triangle stretches,inner sep=0pt,minimum width=#4\tmul,minimum height=#5\tmul] (t) at (dot.center) {};
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\draw[resetinnersep,#3,opacity=0] (predottriangle-dot-#2.center) -- ++(.5*#4\tmul,-#5\tmul) coordinate (predottriangle-te-#2) -- ++(-#4\tmul,0) coordinate (predottriangle-tw-#2) -- cycle;
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%%%%%%%%%%%%
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% \begin{pgfonlayer}{background}
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\node[resetinnersep,fit=(predottriangle-dot-#2) (predottriangle-te-#2) (predottriangle-tw-#2)] (dottriangle-isep-#2) {};
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\node[inner sep=.7mm,fit=(predottriangle-dot-#2) (predottriangle-te-#2) (predottriangle-tw-#2),#6] (dottriangle-bg-#2) {};
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% \end{pgfonlayer}
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%%%%%%%%%%%% same as above, but put above the background.
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\node[resetinnersep,inner sep=0pt,anchor=base west] (dottriangle-x-#2) at #1 {\phantom{$x$}};%
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\node[resetinnersep,dot,anchor=south,#3,xshift=.5*#4\tmul] (dottriangle-dot-#2) at (dottriangle-x-#2.base west) {};%
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%% The anchors and size of the isosceles triangle are not well positionned.
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% \node[draw, shape=isosceles triangle, shape border rotate=90, anchor=north,#3,isosceles triangle stretches,inner sep=0pt,minimum width=#4\tmul,minimum height=#5\tmul] (t) at (dot.center) {};
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\draw[resetinnersep,#3] (dottriangle-dot-#2.center) -- ++(.5*#4\tmul,-#5\tmul) coordinate (dottriangle-te-#2) -- ++(-#4\tmul,0) coordinate (dottriangle-tw-#2) -- cycle;
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%%%%%%%%%%%%
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\coordinate (dottriangle-tc-#2) at (barycentric cs:dottriangle-dot-#2=1,dottriangle-te-#2=1,dottriangle-tw-#2=1);
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\node[inner sep=0pt,fit=(predottriangle-dot-#2) (predottriangle-te-#2) (predottriangle-tw-#2)] (dottriangle-boundingbox-#2) {};
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}
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%Some colors
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\definecolor{coolgrey}{rgb}{0.55, 0.57, 0.67}
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\definecolor{fgred}{rgb}{0.66, 0.13, 0.24}
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\definecolor{yonder}{rgb}{0.64, 0.68, 0.82}
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\definecolor{tangerine}{rgb}{1.0, 0.6, 0.4}
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\definecolor{salmon}{rgb}{1.0, 0.63, 0.48}
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\definecolor{caribbeangreen}{rgb}{0.0, 0.8, 0.6}
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\definecolor{cream}{rgb}{1.0, 0.99, 0.82}
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\definecolor{deepchampagne}{rgb}{0.98, 0.84, 0.65}
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\definecolor{burntsienna}{rgb}{0.91, 0.45, 0.32}
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% This is the definition of join_k
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\def\bigijoin{%
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\alignedmathop{%
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\bigvee%
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}{%
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\mathchoice%
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{\bigvee\mkern-8mu\smash{\raisebox{-0.9ex}{$\resetstyle\mathlarger{\mathlarger{{}_{\intra}}}$}}}%
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{\bigvee\mkern-7mu\smash{\raisebox{-0.6ex}{$\resetstyle\mathlarger{\mathlarger{{}_{\intra}}}$}}}%
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{\bigvee\mkern-2.25mu\smash{\raisebox{-0.3ex}{$\resetstyle\mathlarger{\mathlarger{{}_{\intra}}}$}}}%
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{\bigvee\mkern-2.5mu\smash{\raisebox{-0.35ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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}%
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}
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\def\largeijoin{%
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\alignedmathop{%
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\bigvee%
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}{%
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\mathchoice%
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{\bigvee\mkern-8mu\smash{\raisebox{-0.6ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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{\bigvee\mkern-5mu\smash{\raisebox{-0.6ex}{$\resetstyle\mathlarger{\mathlarger{{}_{\intra}}}$}}}%
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{\bigvee\mkern-2.25mu\smash{\raisebox{-0.3ex}{$\resetstyle\mathlarger{\mathlarger{{}_{\intra}}}$}}}%
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{\bigvee\mkern-2.5mu\smash{\raisebox{-0.35ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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}%
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}
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\def\ijoin{%
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\alignedmathop{%
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\vee%
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}{%
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\mathchoice%
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{\vee\mkern-4mu\smash{\raisebox{-0.3ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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{\vee\mkern-3mu\smash{\raisebox{-0.1ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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{\vee\mkern-2.25mu\smash{\raisebox{-0.3ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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{\vee\mkern-2.5mu\smash{\raisebox{-0.35ex}{$\resetstyle\mathlarger{{}_{\intra}}$}}}%
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}%
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}
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