mirror of
https://github.com/lux-apps/papers.git
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zeekay
dd93cb41f7
Sweep across the non-Tier-1 paper catalogue (Tier-1 owned by parallel
agent and excluded). All 113 processed papers already had luxcover
wired up; this commit fixes 14 build breakers and produces fresh
PDFs across the catalogue.
Fixes:
- lux-blockchain-scaling-laws: em-dash inside lstlisting -> --
- lux-corona-pq: stale \input pointing at 03-the-corona-scheme renamed
to 03-the-corona-scheme (file already renamed on disk)
- lux-lattice-cryptography-primer: same Corona->Corona rename
- lux-formal-verification-lean4: Lean source uses unicode (×, ∀, ∃, ∈,
∧, ∨, ∩, ≠, ⟨, ⟩, ·, ¬) inside lstlistings. Added a literate map
so listings render the math glyphs without UTF-8 fault.
- lux-id-did-specification: ✓/✗ in tabular replaced with \ding{51}
/ \ding{55} (pifont). Added pifont package.
- lux-ntt-simd-implementation: middle-dot in Go assembly listings;
added literate {·}{\textperiodcentered}.
- lux-ntt-transform: μ, ×, –, — in regular text (no T1 fontenc).
Replaced with $\mu$/$\times$/--/--- via unicode->latex sweep.
- lux-perpetuals-derivatives, lux-quantum-consensus,
lux-quasar-consensus, lux-tee-computing-mesh: same unicode->latex
sweep across body text. Also fixed broken math segment
`$L_{avg} = 10$\times$$` -> `$L_{avg} = 10\times$`.
- lux-zchain: emoji glyphs in roadmap table replaced with
parenthetical text.
- lux-triple-proof-consensus: dropped duplicate \usepackage{geometry}
that clashed with luxcover (geometry option clash).
- pq: defined missing \Rq macro.
PDFs rebuilt for the full Tier-2/3 set.
Excluded (Tier-1, parallel agent): lp-073-pulsar, lp-stricte2epq,
dag-evm-formal, lp-010-quasar-stm-{3,4}, lp-020-quasar-consensus,
lux-institutional-custody, lux-nist-mptc-submission, pqsafe-il5,
pq-rns, plus shared/ and lps/.
81 lines
3.0 KiB
TeX
81 lines
3.0 KiB
TeX
\documentclass[11pt]{article}
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\usepackage{../shared/luxcover}
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\usepackage{amsmath,amssymb,amsthm}
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\usepackage{mathtools}
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\usepackage{bm}
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\usepackage{graphicx}
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\usepackage{booktabs}
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\usepackage{hyperref}
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\usepackage{enumitem}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{tikz}
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\usepackage{pgfplots}
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\pgfplotsset{compat=1.18}
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\usepackage{array}
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\usepackage{multirow}
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\usepackage{float}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{definition}{Definition}
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\newtheorem{remark}{Remark}
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\title{\textbf{Restaking Protocol for Lux Network Security Extension}\\
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\large Enabling Capital-Efficient Economic Security Sharing Across Appchains and Actively Validated Services}
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\author{
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Zach Kelling\thanks{Corresponding author: [email protected]}\\
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\textit{Lux Industries, Inc.}\\
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\texttt{[email protected]}
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}
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\date{2024}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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We present the \textbf{Lux Restaking Protocol} (LRP), a mechanism enabling LUX token holders
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to extend the economic security of their staked capital to multiple Actively Validated Services
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(AVSs) and application-specific appchains simultaneously. Unlike traditional staking, where each
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validator commitment is siloed within a single chain, LRP allows a single unit of staked LUX
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to simultaneously secure an arbitrary set of registered services subject to independent
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slashing conditions. We formalize the security model as a hypergraph of staking commitments,
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prove that aggregate economic security is superadditive under realistic parameter regimes, and
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derive tight bounds on the systemic risk introduced by correlated slashing events. Our
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capital-efficiency analysis demonstrates that LRP achieves a 4.7$\times$ improvement in
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security-per-token-staked compared to isolated appchain validation, with measurable improvements
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in bootstrapping economics for new appchains. We compare LRP to EigenLayer's design on
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Ethereum, identifying five structural advantages arising from Lux's native Beacon consensus
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and its existing Primary Network validator architecture. A prototype deployment on Lux Fuji
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testnet processes operator registrations in under 200 ms and executes slashing with sub-2-second
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finality, demonstrating practical viability at scale.
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\end{abstract}
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\tableofcontents
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\newpage
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%%==========================================================================
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\input{sections/01-introduction}
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\input{sections/02-background}
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\input{sections/03-formal-model}
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\input{sections/04-slashing-architecture}
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\input{sections/05-operator-registration-protocol}
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\input{sections/06-avs-marketplace}
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\input{sections/07-capital-efficiency-analysis}
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\input{sections/08-systemic-risk-analysis}
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\input{sections/09-comparison-with-eigenlayer}
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\input{sections/10-implementation}
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\input{sections/11-formal-security-analysis}
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\input{sections/12-discussion}
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\input{sections/99-conclusion}
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\end{document}
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