Re: Hopf Algebra = Group + Monad

Bill Page, on 2008-08-07, you wrote:

> Date: Thu, 7 Aug 2008 12:25:06 -0400
> Subject: Re: [Aldor-l] Hopf Algebra = Group + Monad
> 
> On Thu, Aug 7, 2008 at 12:10 PM, David Casperson  wrote:
>> Hi Bill,
>>
>> you may want to look at the work of the Charity group at the U of C.
>>
>
> Thanks! I haven't looked at the Charity project for a while:
>
> http://pll.cpsc.ucalgary.ca/charity1/www/home.html
>
> but "Latest News" and "Download ..." suggests that there has not been
> much development since 2000. Is that accurate? Is there work
> continuing on this elsewhere?

I suspect that that is accurate.  It still has ideas that I
haven't seen used elsewhere.


>> Charity is a seriously category theoretical language that is explicitly
>> aware of co-objects.  It is formally weaker than most programming
>> languages in that any compiling program terminates.
>>
>
> In the context of co-algebra is seems a little strange to consider
> only programs that terminate.

The Charity take on co-objects is stream like.  The object itself
is infinite, but you can only elaborate a first, finite part.
For instance you can express the Ackerman function as a co-object
table, but the indices you elaborate to look up an element are
finite and terminating.

David
-- 
Dr. David Casperson, Assistant Professor     |  [email protected]
Department of Computer Science               |  (250)   960-6672 Fax 960-5544
College of Science and Management            |  3333 University Way
University of Northern British Columbia      |  Prince George, BC   V2N 4Z9
                                              |  CANADA