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Using Pure with Reduce
Also see Scientific Computing with Pure.
Reduce is one of the oldest computer algebra systems which has been around since the 1960s and is widely recognized as a state-of-the-art, powerful and efficient CAS. It is free/open source software distributed under a BSD-style license, actively maintained on its SourceForge website, and implementations exist for all major computing platforms.
The pure-reduce module embeds Reduce in Pure, so that the functionality of Reduce becomes available in Pure in a seamless way. More background information and a discussion of the interface can be found in the Embedding REDUCE thread on the Pure mailing list.