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22 lines
1.4 KiB
TeX
22 lines
1.4 KiB
TeX
\section{Conclusion}
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\label{sec:conclusion}
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Nebula extends the metastable consensus family to sparse and unreliable networks
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through stratified sampling with bridge validators. The expansion factor framework
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provides a clean characterization of how network quality affects consensus performance,
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with graceful degradation from $O(\log n)$ in well-connected networks to $O(n \log n)$
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at the connectivity threshold. Nebula enables consensus in environments where standard
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protocols fail: high packet loss, validator churn, temporary partitions, and small
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appchain validator sets.
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\begin{thebibliography}{99}
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\bibitem{rocket2019wave} T. Rocket et al., ``Scalable and probabilistic leaderless BFT consensus through metastability,'' 2019.
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\bibitem{kelling2020wave} Z. Kelling, ``Wave protocol: Decision stability and confidence monotonicity,'' Lux Industries Inc, 2020.
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\bibitem{kelling2023nova} Z. Kelling, ``Nova protocol: Supernova burst consensus for high-throughput chains,'' Lux Industries Inc, 2023.
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\bibitem{penrose2003random} M. Penrose, \emph{Random Geometric Graphs}, Oxford University Press, 2003.
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\bibitem{dwork1988consensus} C. Dwork, N. Lynch, and L. Stockmeyer, ``Consensus in the presence of partial synchrony,'' \emph{JACM}, 1988.
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\bibitem{gilbert2002brewer} S. Gilbert and N. Lynch, ``Brewer's conjecture and the feasibility of consistent, available, partition-tolerant web services,'' \emph{SIGACT News}, 2002.
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\end{thebibliography}
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