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/.
69 lines
2.4 KiB
TeX
69 lines
2.4 KiB
TeX
\documentclass[11pt,a4paper]{article}
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\usepackage{../shared/luxcover}
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\usepackage[utf8]{inputenc}
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{algorithm}
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\usepackage{algpseudocode}
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\usepackage{xcolor}
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\usepackage{booktabs}
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\usepackage{enumitem}
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\usepackage{listings}
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\hypersetup{colorlinks=true,linkcolor=black,citecolor=blue,urlcolor=blue}
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\newtheorem{theorem}{Theorem}[section]
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\newtheorem{lemma}[theorem]{Lemma}
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\newtheorem{corollary}[theorem]{Corollary}
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\newtheorem{proposition}[theorem]{Proposition}
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\newtheorem{definition}{Definition}[section]
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\newtheorem{remark}{Remark}[section]
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\lstset{basicstyle=\ttfamily\small, frame=single, breaklines=true}
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\title{\textbf{Lux FHE: A GPU-Native FHE Runtime\\for Confidential Blockchain Execution}}
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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{2026}
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\begin{document}
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\luxcoverpage
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\begin{abstract}
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Lux FHE is a dual-runtime fully homomorphic encryption stack: a Go reference
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runtime defines canonical semantics, KATs, and chain integration, while a
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C++/GPU-native production runtime executes high-throughput encrypted
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computation. The Go runtime defines the semantics; the C++/GPU runtime
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realizes the throughput. Cross-runtime KATs ensure semantic equivalence.
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We further bind the FHE runtime into Lux's post-quantum consensus stack:
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every finalized FHE evaluation contributes to a $\mathsf{nebula\_fhe\_root}$
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commitment that the QuasarRoundDescriptor consumes. Quasar's Pulsar
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threshold lane (lattice / Ring-LWE) and ML-DSA attestation lane
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(FIPS 204) finalize the encrypted execution result through Horizon
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finality (LP-105) --- the FHE step is private, but the finality of the
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result is a post-quantum-rooted certificate. This paper specifies the
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dual-runtime split, the cross-runtime katology, the Nebula-FHE
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DAG/GPU-native scheduler, the Quasar finality binding, GPU benchmarks
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on NVIDIA H100, and the security posture (LWE-rooted, no PQ rollback).
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\end{abstract}
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\input{sections/01-introduction}
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\input{sections/02-fhe-go-reference-runtime}
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\input{sections/03-fhe-cpp-production-runtime}
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\input{sections/04-cross-runtime-katology}
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\input{sections/05-nebula-fhe-scheduling}
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\input{sections/06-quasar-finality-binding}
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\input{sections/07-benchmarks}
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\input{sections/08-related-work}
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\input{sections/09-security}
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\end{document}
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