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Text Generation
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Text
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language-modeling
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English
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\documentclass[11pt,a4paper]{article} | |
\usepackage[T1]{fontenc} | |
\usepackage{isabelle,isabellesym} | |
% this should be the last package used | |
\usepackage{pdfsetup} | |
% urls in roman style, theory text in math-similar italics | |
\urlstyle{rm} | |
\isabellestyle{it} | |
\begin{document} | |
\title{Verified Approximation Algorithms} | |
\author{Robin E{\ss}mann, Tobias Nipkow, Simon Robillard, Ujkan Sulejmani} | |
\maketitle | |
\begin{abstract} | |
We present the first formal verifications of approximation algorithms | |
for NP-complete optimization problems: | |
vertex cover, set cover, independent set, center selection, load balancing, and bin packing. | |
The proofs correct incompletnesses in existing proofs | |
and improve the approximation ratio in one case. | |
A detailed description of our work (excluding center selection) has been published in the proceedings of | |
\emph{IJCAR 2020} \cite{EssmannNR-IJCAR20}. | |
\end{abstract} | |
\tableofcontents | |
% include generated text of all theories | |
\input{session} | |
\bibliographystyle{abbrv} | |
\bibliography{root} | |
\end{document} | |