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% Persistent GPU Actors: A Formal Model for Living Computation on the Device
%
% arXiv preprint — compile with: pdflatex main && bibtex main && pdflatex main && pdflatex main
\documentclass[11pt,a4paper]{article}
% ── Core packages ──────────────────────────────────────────────────────
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% ── Math ───────────────────────────────────────────────────────────────
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% Semantic brackets \llbracket / \rrbracket — defined via mathtools to
% avoid the stmaryrd dependency (not in texlive-latex-recommended).
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% ── Layout ─────────────────────────────────────────────────────────────
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% Allow LaTeX to stretch interword spaces by up to 3em when a paragraph
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% single-shot fix that avoids peppering the sources with \allowbreak.
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% ── Figures / tables ───────────────────────────────────────────────────
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% ── Algorithms ─────────────────────────────────────────────────────────
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% ── Code listings ──────────────────────────────────────────────────────
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% ── Colors / hyperlinks ───────────────────────────────────────────────
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\usepackage{cleveref}
% Encourage URL line breaks at any character (not just / - .). Without
% this, long NVIDIA / Colfax / ETH blog URLs in the bibliography
% produce overfull lines.
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\g@addto@macro{\UrlBreaks}{\UrlOrds}
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\Urlmuskip=0mu plus 1mu
% ── Bibliography ───────────────────────────────────────────────────────
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% ── Theorem environments ──────────────────────────────────────────────
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\newtheorem{lemma}[theorem]{Lemma}
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% ── Custom commands ───────────────────────────────────────────────────
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% Convenience: TLA+ logo, used a lot in text mode.
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% Lifecycle states (typeset consistently throughout)
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\newcommand{\Initializing}{\state{Initializing}}
\newcommand{\Active}{\state{Active}}
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% Lifecycle action verbs (transitions, not states)
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\newcommand{\Quiesce}{\textsc{Quiesce}}
\newcommand{\Terminate}{\textsc{Terminate}}
\newcommand{\Fail}{\textsc{Fail}}
% ═══════════════════════════════════════════════════════════════════════
\title{%
Persistent GPU Actors:\\
A Formal Model for Living Computation on the Device%
}
\author{%
Michael Ivertowski\\
\textit{Independent Researcher}\\
\textit{Zurich, Switzerland}\\[2pt]
\small\url{https://orcid.org/0009-0008-7829-2249}
}
\date{April 2026}
% ═══════════════════════════════════════════════════════════════════════
\begin{document}
\maketitle
% ── Abstract ──────────────────────────────────────────────────────────
\input{sections/abstract}
% ── Main body ─────────────────────────────────────────────────────────
\input{sections/introduction}
\input{sections/background}
\input{sections/related_work}
\input{sections/model}
\input{sections/memory}
\input{sections/k2k}
\input{sections/supervision}
\input{sections/tenancy}
\input{sections/migration}
\input{sections/implementation}
\input{sections/evaluation}
\input{sections/discussion}
\input{sections/conclusion}
% ── References ────────────────────────────────────────────────────────
\bibliographystyle{plainnat}
\bibliography{references}
% ── Appendices ────────────────────────────────────────────────────────
\appendix
\input{sections/appendix}
\end{document}