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25 lines
998 B
TeX
25 lines
998 B
TeX
\section{System Model}
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\label{sec:model}
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\begin{definition}[Pipeline]
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A consensus pipeline of depth $m$ processes $m$ transactions simultaneously. Each
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round, the validator's query carries preferences for all $m$ transactions, and the
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response includes preferences for all $m$ transactions.
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\end{definition}
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\begin{definition}[Confidence Matrix]
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The confidence matrix $\mathbf{D} \in \mathbb{N}^{m \times d}$ has entry $D_{i,c}$
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representing the cumulative confidence count for transaction $i$ and color $c$.
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Transaction $i$ is finalized when $\max_c D_{i,c} \geq \beta$.
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\end{definition}
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\begin{definition}[Pipeline Slot]
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A pipeline slot $s \in \{1, \ldots, m\}$ is occupied by a transaction from the time
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it enters the pipeline until it is finalized (and the slot is freed for a new transaction).
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\end{definition}
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%% -----------------------------------------------------------------------
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%% 3. THE PHOTON PROTOCOL
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%% -----------------------------------------------------------------------
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