On Monday, October 21, 2013 9:50:30 PM UTC+2, Matthew wrote:
>
> How do other systems like xAct solve this problem?
>

I don't know, but xAct is built on top of Wolfram Mathematica, which has a 
very powerful pattern matching system.

I had a quick glance, and I guess that xAct keeps tensor indices inside the 
M-expression tree (if I understood correctly).

This means that: A(d1, d2)*B(d3) has a tree representation as written [ 
Lisp: (TensExpr (A d1 d2) (B d3)) ], unlike the tensor module in SymPy :(

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