[Haskell-cafe] typeclass woes...how to constain a typeclass to be "closed" under an operation....

Nicholls, Mark nicholls.mark at vimn.com
Tue Jan 6 19:03:19 UTC 2015

Bind on monad is a better example, its specified to be closed by the typeclass, but agajn operares on types of kind *->* 

if i have a function that orbits through multiple types (via type family) of kind * then i have to aggregate them under some wrapper type of kind *->* to define the set closed operation on the wrapper


As you can see i dont do much haskell, and im trying to get my head around how to map simple mathematical concepts into it

Excuse the spelling, sent from a phone with itty bitty keys, it like trying to sow a button on a shirt with a sausage.

> On 6 Jan 2015, at 18:53, Nicholls, Mark <nicholls.mark at vimn.com> wrote:
> I will post the question again properly tomorrow but your example indeed is almost a good example, but is trivially closed
> If the operation on monoid was
> [a]->[b]->[c]
> That is also closed; ie [c] is also a monoid.... And the typeclass declaration follows the idiom ive suggested
> This only works for types of kind *->*
> If i wanted to do this over a type of kind * (ignoring the trivial a->a)
> Can i express this in a typeclass?
> Please ignore until i resubmit this question
> Ps i hate phones
> Excuse the spelling, sent from a phone with itty bitty keys, it like trying to sow a button on a shirt with a sausage.
>>> On 6 Jan 2015, at 18:10, Tom Ellis <tom-lists-haskell-cafe-2013 at jaguarpaw.co.uk> wrote:
>>> On Tue, Jan 06, 2015 at 05:43:47PM +0000, Nicholls, Mark wrote:
>>> Its quite common in maths to have operations in a theory that are (set)
>>> closed, i just want to translate that notion to a typeclass
>> Do you really need a typeclass (or indeed any way) of doing this?  I suspect
>> it will not work.  If you consider the multiplication for the monoid of
>> concatenation of lists
>>  (++) :: [a] -> [a] -> [a]
>> you see that its type already implies that it is "closed".
>> Tom
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