This directory contains the Elf source which implements the proof of the Church-Rosser theorem for the untyped lambda-calculus under beta-reduction using the method of parallel reduction. The proof (due to Tait and Martin-L"of) and this Elf code is described in the following report. Frank Pfenning. A proof of the Church-Rosser theorem and its representation in a logical framework. Technical Report CMU-CS-92-186, Carnegie Mellon University, Pittsburgh, Pennsylvania, September 1992. The file examples.quy contains the examples given in the report. The other files are described in the file load.sml. NOTE: The example queries require version 0.2c or newer of Elf to correctly interpret queries of the form ?- M : A.