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zeekay
1ecc25e9cf
The seven engine specifications (lux-{photon,wave,nova,nebula,prism,ray,field}-protocol)
were fragmented short notes documenting layers of the same Quasar consensus stack.
This commit merges them into a single canonical reference, lux-consensus-engines.tex,
that uses one preamble, one set of theorems, one bibliography, and one composition
chapter showing how the engines layer into the LP-020 finality pipeline.
The seven originals are reduced to single-page breadcrumb stubs pointing at the
consolidated paper; their sections/ content is preserved on disk for git history.
- new: lux-consensus-engines/ (50 pages, 646KB PDF, ~2900 lines tex)
- breadcrumbs: each original keeps cover + title + stub paragraph naming its chapter
- composition: chapter 9 records the layered contract Photon < Wave < Nova < ...
- bibliography: consolidated from the seven original thebibliography blocks
25 lines
1005 B
TeX
25 lines
1005 B
TeX
\section{System Model}
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\label{sec:photon-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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