Started to write the report, created toc and files
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\#*\#
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.\#*
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*.kate-swp
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/report/build/
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report/Bilibibio.bib
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report/Bilibibio.bib
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@article{RedFreeNorm1995,
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doi = {10.1007/3-540-60164-3_27},
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url = {https://doi.org/10.1007\%2F3-540-60164-3_27},
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year = 1995,
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publisher = {Springer Berlin Heidelberg},
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pages = {182--199},
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author = {Thorsten Altenkirch and Martin Hofmann and Thomas Streicher},
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title = {Categorical reconstruction of a reduction free normalization proof},
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booktitle = {Category Theory and Computer Science}
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}
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@article{NBE2016,
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title={Normalisation by Evaluation for Dependent Types},
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author={Thorsten Altenkirch and Ambrus Kaposi},
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booktitle={International Conference on Formal Structures for Computation and Deduction},
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year={2016}
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}
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@phdthesis{AltenkirschThesis1993,
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title={Constructions, inductive types and strong normalization},
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author={Thorsten Altenkirch},
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booktitle={CST},
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year={1993}
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}
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@unpublished{TaoOfTypes,
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title={The Tao of Types},
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author={Thorsten Altenkirsch}
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}
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@inproceedings{folSogatKaposi2023,
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title={Why is equality interesting?},
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author={Ambrus Kaposi},
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url={https://akaposi.github.io/pres_wld.pdf}}
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report/M1Report.tex
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report/M1Report.tex
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% !TeX spellcheck = fr_FR
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\documentclass[10pt,a4paper]{article}
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\include{./header.tex}
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\title{Completeness Proof for different logical frameworks
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\\[1ex] \large Notes on my 3 month internship at Faculty of Informatics (ELTE, Budapest)}
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\hypersetup{pdftitle={Completeness Proof for different kinds of logical frameworks}}
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\author{Samy Avrillon, supervised by
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\\[1ex] Ambrus Kaposi (ELTE, Budapest)
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\\[1ex] and Thorsten Altenkirsch (University of Notthingham, United Kingdom)}
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\begin{document}
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\doparttoc
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\maketitle
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\hsep
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\tableofcontents
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\newpage
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\section{Introduction}
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\subsection{Introduction to the problem}
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\subsection{Motivation}
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\subsection{Structure of this report}
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\section{A first account of Completeness and Normalization}
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\subsection{Normalization for ZOL}
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\subsection{Normalization for IFOL}
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\subsection{Merging the two proofs}
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\section{Predicate Logic}
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\subsection{SOGAT Presentation of FFOL}
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\subsection{Turning a SOGAT Presentation into a GAT}
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\section{Implementing the Syntax}
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\subsection{Separated Contexts}
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\subsection{Transport Hell}
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%\section{Completeness and Normalization for FFOL}
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\section{Summary}
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\section{Bibliography}
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\begingroup
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\renewcommand{\section}[2]{}%
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\printbibliography
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\endgroup
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\newpage
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\addappheadtotoc
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\appendix
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\addtocontents{toc}{\protect\setcounter{tocdepth}{-1}}
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\appendixpage
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\section{Agda Code}
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\end{document}
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report/header.tex
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report/header.tex
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% Loading packages
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\usepackage[T1]{fontenc}
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\usepackage[utf8]{inputenc}
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\usepackage{hyperref}
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\hypersetup{
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colorlinks=true,
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linkcolor=blue,
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filecolor=magenta,
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urlcolor=cyan
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}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{bbm}
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\usepackage{stmaryrd}
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\usepackage[main=english]{babel}
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\usepackage{csquotes}
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\usepackage{listings}
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\usepackage{lstautogobble}
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\usepackage{algorithm2e}
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\usepackage{svg}
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\usepackage{tikz}
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\usepackage{multirow}
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\usepackage{multicol}
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\usepackage{tcolorbox}
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\usepackage{mdframed}
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\usepackage{proof}
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\usepackage{biblatex}
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\usepackage{xparse}
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\usepackage{cprotect}
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\usepackage{titlesec}
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\usepackage{xpatch}
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\usepackage{enumitem}
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\usepackage{amsfonts}
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\usepackage{mathtools}
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\usepackage[page,header]{appendix}
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\usepackage{minitoc}
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\usepackage{geometry}
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\usepackage{csquotes}
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\usepackage[lighttt]{lmodern}
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\usetikzlibrary{shapes.geometric,positioning}
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% Macros caractères globales
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\newcommand{\pgrph}{\P}
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\newcommand{\hsep}{\vspace{.2cm}\centerline{\rule{0.8\linewidth}{.05pt}}\vspace{.4cm}}
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\renewcommand{\P}{\mathbb{P}}
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\newcommand{\E}{\mathbb{E}}
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\newcommand{\1}{\scalebox{1.2}{$\mathbbm{1}$}}
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\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
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\newcommand{\littleO}{o}
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\newcommand{\bigO}{\mathcal{O}}
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\newcommand{\longdash}{\:\textrm{---}\:}
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\newcommand\hole{\left[\raisebox{-0.25ex}{\scalebox{1.2}{$\cdot$}}\right]}
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\newcommand\bracket[1]{\!\left[#1\right]}
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\newcommand{\ssi}{\quad\text{\underline{ssi}}\quad}
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\newcommand\eng[1]{\textit{\foreignlanguage{english}{#1}}}
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\newcommand\spacebar{\;|\;}
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\def\nDownarrow{\not\mspace{1mu}\Downarrow}
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\let\pprec\preccurlyeq
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\DeclareUnicodeCharacter{03BB}{$\lambda$}
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\DeclareUnicodeCharacter{03B1}{$\alpha$}
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\DeclareUnicodeCharacter{03C0}{$\pi$}
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% Création des environnement globaux
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\newtheorem{theorem}{Théorème}
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\newtheorem{definition}{Definition}
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\newtheorem{property}{Propriété}
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\newcounter{rule}
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\addto\extrasfrench{%
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\renewcommand{\figureautorefname}{\textsc{Figure}}
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\renewcommand{\sectionautorefname}{Section}
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\renewcommand{\subsectionautorefname}{Sous-section}
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\renewcommand{\appendixautorefname}{Annexe}
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\renewcommand{\theoremautorefname}{Théorème}
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\providecommand\propertyautorefname{Propriété}
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\providecommand\ruleautorefname{règle}
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}
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% Commandes logiques globales
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\newcommand{\ifnullthenelse}[3]{
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\ifnum\value{#1}=0
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#2
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\else
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#3
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\fi
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}
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%%% Commande \newtag permettant de changer le label d'une equation
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\makeatletter
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\newcommand\newtag[2]{#1\def\@currentlabel{#1}\label{#2}}
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\makeatother
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% Macros caractères spécifiques au document
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% Création des environnements spécifiques au document
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%%% Subparaghaphs box
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\newtcbox{\subparaghaphbox}{nobeforeafter,tcbox raise base, arc=9pt, outer arc=9pt, boxsep=2pt,left=2pt,right=2pt,top=2pt,bottom=2pt,boxrule=1pt,colback=white!85!orange}
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\newcommand{\subparaghaphboxedcontent}[1]{\subparaghaphbox{#1}\newline}
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%\titleclass{\mathcases}{straight}[\subparagraph]
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\titleformat{\subparagraph}[runin]{\normalfont\normalsize\bfseries}{}{0em}{\subparaghaphboxedcontent}
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\titlespacing*{\subparagraph}{0pt}{3.25ex plus 1ex minus .2ex}{0.5em}
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\addbibresource{Bilibibio.bib}
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