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zeekay abf99d05fc papers: reorganize into per-paper dirs, add Antje Worring as co-author
Restructured from flat .tex/.pdf files into per-paper subdirectories.
Added Antje Worring as co-author on all papers.
Synced PDFs to pdfs/ for download site.
2026-04-18 21:50:07 -07:00

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\section{Trust Separation Model}
\subsection{P-Chain as Root of Trust}
The P-Chain maintains the canonical validator set. Every other chain's security derives from this set.
\begin{definition}[Security Inheritance]
A chain $C$ \emph{inherits security} from the primary network if and only if:
\begin{enumerate}[leftmargin=2em]
\item $C$'s validator set is a subset of (or equal to) the P-Chain validator set.
\item $C$'s consensus protocol requires $>2/3$ of its validator set to finalize blocks.
\item $C$'s finality is propagated to the primary network within one epoch.
\end{enumerate}
\end{definition}
\subsection{Separation of Concerns}
Each chain maintains independent state but shares the validator trust assumption:
\begin{center}
\begin{tabular}{lll}
\toprule
\textbf{Shared} & \textbf{Per-Chain} & \textbf{Cross-Chain} \\
\midrule
Validator set & State trie & Warp messages \\
Staking weight & Transaction pool & Asset transfers \\
BLS/ML-DSA keys & Gas pricing & Finality proofs \\
Epoch proofs & VM execution & Nonce tracking \\
\bottomrule
\end{tabular}
\end{center}