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\title{Completeness Proof for different logical frameworks
	\\[1ex] \large Notes on my 3 month internship at Faculty of Informatics (ELTE, Budapest)}
\hypersetup{pdftitle={Completeness Proof for different kinds of logical frameworks}}
\author{Samy Avrillon, supervised by
	\\[1ex] Ambrus Kaposi (ELTE, Budapest)
	\\[1ex] and Thorsten Altenkirsch (University of Notthingham, United Kingdom)}

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	\section{Introduction}
		\subsection{Introduction to the problem}
		\subsection{Motivation}
		\subsection{Structure of this report}
	\section{A first account of Completeness and Normalization}
		\subsection{Normalization for ZOL}
		\subsection{Normalization for IFOL}
		\subsection{Merging the two proofs}
	\section{Predicate Logic}
		\subsection{SOGAT Presentation of FFOL}
		\subsection{Turning a SOGAT Presentation into a GAT}
	\section{Implementing the Syntax}
		\subsection{Separated Contexts}
		\subsection{Transport Hell}
	%\section{Completeness and Normalization for FFOL}
	
	\section{Summary}
	
	
	\section{Bibliography}
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	\appendix
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	\section{Agda Code}
	
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