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% For fancy picture
\usepackage{tikz}

%\usepackage{preamble}
\usepackage{xspace}
\newcommand{\LLL}{Lov\'asz Local Lemma\xspace}

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\begin{document}

\title{A Constructive Proof of the Lov\'asz Local Lemma}
\subtitle{Robin Moser, STOC 2009}
\author{Youngtae Youn}
\institute{CSE Dept. Penn State}
\date{September 28, 2009}

%%%
\begin{frame}
  \frametitle{\LLL: Lov\'asz and Erd\H{o}s in 1975}
  \begin{itemize}
  \item What if bad events are \alert{not} independent?
    \begin{customitem}{1.3em}{0em}
    \item Bad events are \emph{mostly} independent from one
      another.
    \item Bad event are \alert{not} individually too likely to occur.
    \end{customitem}
    Still, $\Pr[\text{none of the bad events will occur}] > 0$.
  \item Lov\'asz Local Lemma
  \end{itemize}
\end{frame}

\end{document}
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