Mathematics and symbol manipulation

Abstract
I would like to present some ideas on what I believe symbol manipulation programs should look like. My comments are based on my experience using MACSYMA [6] for the past seven years. I am also somewhat familiar with REDUCE [3] and the new program, SMP [1]. Some of my comments come from difficulties I have encountered in using MACSYMA and teaching others to use MACSYMA. However, my basic interest is in making symbol manipulation programs know more mathematics than they now know.

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