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\begin{document}

\title{Solution to the xkcd Blue Eyes puzzle}
\author{Maya Kądziołka}
\maketitle

\begin{abstract}
    In a puzzle published by Randall Munroe~\cite{xkcd}, perfect logicians forbidden
    from communicating are stranded on an island, and may only leave once they
    have figured out their own eye color. We present a method of modeling the
    behavior of perfect logicians and formalize a solution of the puzzle.
\end{abstract}

\tableofcontents

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\end{document}

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