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\documentclass{acmabs}

\begin{document}

\Journal{Journal of the ACM}

\refkey{GoodrichK96}

\title{Sorting on a Parallel Pointer Machine with Applications to Set
Expression Evaluation}

\author{Michael~T. Goodrich \and S.~Rao Kosaraju}

\Pages{331--361}

\Month{March}

\Year{1996}

\Volume{43}

\Number{2}

\maketitle

\begin{abstract}

We present optimal algorithms for sorting on parallel CREW and EREW
versions of the pointer machine model. Intuitively, one can view our
methods as being based on a parallel mergesort using linked lists
rather than arrays (the usual parallel data structure). We also show
how to exploit the ``locality'' of our approach to solve the set
expression evaluation problem, a problem with applications to database
querying and logic-programming, in $O(\log n)$ time using $O(n)$
processors. Interestingly, this is an asymptotic improvement over what
seems possible using previous techniques.

\end{abstract}

\begin{categories}

E.1 [\textbf{Data Structures}]---\emph{arrays\textup; lists}; F.2.2
[\textbf{Analysis of Algorithms and Problem Complexity}]: Nonnumerical
Algorithms and Problems---\emph{sorting and searching}

\end{categories}

\begin{terms}

Algorithms, Theory, Verification

\end{terms}

\begin{keywords}

Cascade merging, expression evaluation, linking automaton, mergesort,
parallel algorithms, pointer machine, PRAM

\end{keywords}

\end{document}