Re: [Haskell-cafe] Invertible functions list

This might be pertinent: Alimarine et al, "There and Back Again: Arrows for Invertible Programming" http://www.cs.ru.nl/A.vanWeelden/bi-arrows/ Jonathan Fischoff wrote:

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