[Haskell-cafe] Invertible functions list

[Dan Weston]

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
>