Today appeared "A field-theory motivated approach to symbolic computer algebra":http://arxiv.org/abs/cs.SC/0608005 which is of course very interesting to me. Anyone who has used any tensor package in any CAS will sympathize with the goals of the author.
The code is GPL and he even wrote a texmacs interface: http://www.aei.mpg.de/~peekas/cadabra/ -- Cheers, Bob McElrath [Univ. of California at Davis, Department of Physics] Only after you've tried to figure something out for yourself and failed are you ready to absorb "the answer."
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