[Haskell-cafe] Invertible functions list

[Jonathan Fischoff]

Hi,

I would to create a list of tuples (or something similar) of invertible
functions

[((a -> b), (b -> a)), ((b -> c), (c -> b)), ....

Such that I could call

forward invertibleFuctionList domainValue = ? -- composite all the functions
backward invertibleFuctionList rangeValue =
    forward (reverse invertibleFuctionList) rangeValue  -- or something
similar


I would also like to concat them. This sounds like a job for GADT that
someone might have already tackled. Any ideas?

-Jonathan
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