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21 lines
678 B
TeX
21 lines
678 B
TeX
\section{Termination Conditions}
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\label{sec:termination}
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FPC terminates when one of the following conditions is met:
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\begin{enumerate}
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\item \textbf{Confidence Achieved}: $\beta$ consecutive rounds with opinion above $\alpha_{\text{conf}}$
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\item \textbf{Timeout}: Maximum rounds exceeded (fallback to heavier consensus)
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\item \textbf{External Signal}: Higher-level protocol requests termination
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\end{enumerate}
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\subsection{Safety vs. Liveness Trade-off}
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The parameter $\beta$ controls the trade-off:
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\begin{itemize}
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\item Small $\beta$ ($\approx 3$): Fast termination, lower confidence
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\item Large $\beta$ ($\approx 10$): High confidence, slower termination
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\end{itemize}
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