\section{Soundness Proof}
\label{sec:soundness-proof}

This section contains proof of the soundness of the VEIN framework, which is organized in mathematical 
definitions (\textbf{\Cref{sec:mathematical-definitions}}), proof of the translation layer (\textbf{\Cref{sec:soundness-of-translation}}),
proof of the interaction rules (\textbf{\Cref{sec:soundness-of-interaction-rules}}), and the final
induction proof (\textbf{\Cref{sec:soundness-of-reduction}}).

\input{chapters/core/soundness-proof/01-mathematical-definitions}

\input{chapters/core/soundness-proof/02-soundness-of-translation}

\input{chapters/core/soundness-proof/03-soundness-of-interaction-rules}

\input{chapters/core/soundness-proof/04-soundness-of-reduction}
