A small erratum <*|||> has type (b -> c) (a -> a1 -> a2 -> b) a a1 a3 and it is nicer to add more * by defining these functions: con = (flip.) .(.) (<**>) = flip (<***>) = con (<**>) (<****>) = con (<***>) (<*****>) = con (<****>) Then the serie of <**|> gets: (<*****|>) = (<*|>).(<*****>) (<****|>) = (<*|>).(<****>) (<***|>) = (<*|>).(<***>) (<**|>) = (<*|>).(<**>) (<*|>) = (.) Now they behave more like (.), Eg: <**|> :: (a -> b -> c) (a1 -> b) -> a1 -> a -> c And the rest becomes: (<**||>) = (<*||>).(<**>) (<**|||>) = (<*|>).(<**||>) (<**||||>) = (<*|>).(<**|||>) (<***||>) = (<*||>).(<***>) (<***|||>) = (<*|>).(<***||>) On Mon, Mar 29, 2010 at 2:04 AM, edgar klerks wrote:

He All,

I was toying a bit around and found a function, which combines an function of arity 1 with 2. Then I produced a whole sequence of these function, the number of * stands for the arity of the left function and the number of | stands for arity the right function. so <*|||> :: (b -> c -> d) -> (a -> c) -> a -> b -> d:

(<*****|>) = flip (<*|||||>) (<****|>) = flip (<*||||>) (<***|>) = flip (<*|||>) (<**|>) = flip (<*||>) (<*|>) = (.) (<*||>) = (<*|>).(<*|>) (<*|||>) =(<*||>).(<*|>) (<*||||>) = (<*||>).(<*||>) (<*|||||>) = (<*||||>).(<*|>)

con = (flip.) .(.) (<**||>) = (<*||>).flip (<**|||>) = (<*|>).(<**||>) (<**||||>) = (<*|>).(<**|||>) (<***||>) = (<*||>).(con flip) (<***|||>) = (<*|>).(<***||>) (<****||>) = (<*||>).(con.con $ flip)

I found it interesting, but now I am stuck. is it possible to make the stars addable instead of the | or both?

Greets,

Edgar Edgar

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