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32 lines
688 B
TeX
32 lines
688 B
TeX
\section{Appendix A: Consensus Parameter Tuning}
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\subsection{Safety vs. Liveness Trade-offs}
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Increasing $\alpha$ and $\beta$ improves safety at the cost of latency:
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\begin{table}[h]
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\centering
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\begin{tabular}{@{}llll@{}}
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\toprule
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$\alpha$ & $\beta$ & \textbf{Safety} & \textbf{Finality Latency} \\
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\midrule
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13 & 8 & 99.9999\% & 8ms (GPU) / 80ms (CPU) \\
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15 & 10 & 99.99999\% & 10ms (GPU) / 100ms (CPU) \\
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18 & 12 & 99.999999\% & 12ms (GPU) / 120ms (CPU) \\
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\bottomrule
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\end{tabular}
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\end{table}
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\subsection{Network Size Scaling}
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Optimal K grows with network size:
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\begin{align}
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K_{opt} &\approx \sqrt{N} \\
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\alpha &\approx 0.6 \times K \\
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\beta &\approx 0.4 \times K
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\end{align}
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