reverse arrow notation?

[ratmice]

since this thing is intended for doing bidirectional syntax transformations,
that leads to an interesting question, should it be able to translate between A -> B -> C
and reverse arrow notation B <- C <- A

Twelf meta-logical framework

Type arrows may be reversed, thus writing c <- b <- a is equivalent to writing a -> b -> c.

The argument for it is that tis would be nice, because then composition:
o: (b -> c) /\ (a -> b) -> a -> c can be read in right-to-left fashion: o: c <- a <- (c <- b) /\ (b <- a)

An arguments against include that its weird, and that it isn't a simple like the ASCII <-> unicode translations,
in that it implies flipping the input and output type