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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/.
33 lines
2.5 KiB
TeX
33 lines
2.5 KiB
TeX
\section{Introduction}
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\label{sec:intro}
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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Cross-chain interoperability remains the critical unsolved problem in blockchain infrastructure. The total value locked across bridges exceeds \$15B, yet bridge exploits account for over \$2.8B in losses since 2020~\cite{rekt}. We identify four classes of existing solutions and their fundamental limitations:
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\begin{enumerate}[nosep]
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\item \textbf{Trusted multisig}: Custodial risk, single points of failure (WBTC, most centralized bridges). Failure mode: compromise $m$-of-$n$ keys $\to$ drain all funds.
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\item \textbf{Optimistic}: Long withdrawal delays (7--14 days), fraud proof windows (Across, Hop). Failure mode: censored fraud proofs $\to$ invalid state accepted.
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\item \textbf{Light client}: Chain-specific implementation per pair, high complexity ($O(n^2)$ implementations for $n$ chains). Failure mode: consensus bug in light client.
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\item \textbf{MPC threshold}: Distributed key management, no single custodian, but key management complexity. Failure mode: $\geq t$ node compromise.
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\end{enumerate}
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Teleport addresses the MPC approach's key management complexity through two complementary threshold signature protocols:
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\begin{itemize}[nosep]
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\item \textbf{FROST}~\cite{frost}: Flexible Round-Optimized Schnorr Threshold for Ed25519 and BIP-340 Taproot, providing 64-byte signatures in 2~rounds. Covers 14 chain families.
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\item \textbf{CGGMP21}~\cite{cggmp21}: Threshold ECDSA with identifiable aborts for secp256k1. Covers 6 chain families. Standard \texttt{ecrecover} on all EVM chains.
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\end{itemize}
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\paragraph{Contributions.} This paper makes the following contributions:
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\begin{enumerate}[nosep]
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\item Formal description of the OmnichainRouter contract with provable security properties (\S\ref{sec:protocol}).
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\item Sovereign governance model separating security, economic, and protocol authority domains (\S\ref{sec:governance}).
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\item Yield-bearing bridge token architecture with 29~deployed yield strategies across 9~categories (\S\ref{sec:yield}).
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\item First protocol-level Shariah compliance framework for DeFi (\S\ref{sec:shariah}).
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\item 18 native bridge programs across 270 registered chain IDs (\S\ref{sec:chains}).
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\item Formal security analysis proving conservation, uniqueness, liveness, safety, governance isolation, and exit guarantee properties (\S\ref{sec:security}).
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\end{enumerate}
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%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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