Ronald Oussoren <ronaldousso...@mac.com> added the comment:

https://math.stackexchange.com/questions/46975/how-to-prove-two-regular-expressions-are-identical-in-mathematical-way
 contains some references to proofs that checking if two regular expressions 
are equivalent is PSPACE-complete.  Another answer in that question mentions 
that its at least exponential in both space and time.  Either means that 
comparing two REs gets infeasible very fast, which makes this unsuited for an 
equality checking.

I propose closing this issue.

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nosy: +ronaldoussoren

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