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Currently there are no compilation issues. However, \listofalgorithms does not work.

Additionally, my algorithms are missing titles. This is the most important thing for me. How can I get the algorithm titles to appear when I am using algorithms with memoir?

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Welcome to TeX.SE! Please add a minimal working example (MWE) that illustrates your problem. – egreg Jul 6 '11 at 14:21

Please provide a minimal example. This example works fine

\documentclass[a4paper]{memoir}
\usepackage{algorithm,algorithmicx}
\begin{document}
\listofalgorithms
\begin{algorithm}
  asdfasdf
  \caption{test}
\end{algorithm}
\end{document}
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