mirror of
https://github.com/lux-apps/papers.git
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zeekay
9504b4c3ef
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/.
38 lines
1.4 KiB
TeX
38 lines
1.4 KiB
TeX
\section{Formal Security Properties}
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\label{sec:security}
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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\begin{property}[Conservation]
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For every bridge token $T$ at time $t$:
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\begin{equation}
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\texttt{totalMinted}[T](t) \leq \texttt{totalBacking}[T](t)
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\end{equation}
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Enforced by automatic pause when $B / M < 0.985$.
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\end{property}
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\begin{property}[Uniqueness]
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For all source chains $C_s$ and nonces $\nu$:
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\begin{equation}
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\bigl|\{tx : tx \text{ processes } (C_s, \nu)\}\bigr| \leq 1
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\end{equation}
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Enforced by atomic check-and-set on nonce bitmap.
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\end{property}
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\begin{property}[Liveness]
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If $\geq t$ of $n$ MPC nodes are online and at least one relayer is operational, the bridge processes new deposits within one source-chain confirmation period plus one destination-chain block time.
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\end{property}
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\begin{property}[Safety]
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Under the DLP/ECDLP assumptions:
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\begin{equation}
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|\mathcal{A} \cap \mathcal{S}| < t \implies \Pr[\text{forge}(\sigma)] \leq \text{negl}(\lambda)
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\end{equation}
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\end{property}
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\begin{property}[Exit Guarantee]
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Users can burn bridge tokens and receive underlying assets within $\max(\text{rotationDelay}, \text{confirm\_time})$ under all conditions, including governor compromise and single MPC node failure. The rotation delay is configurable (default 24h, max 7 days).
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\end{property}
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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