On 1 May 2008, at 16:58, Michael Karcher wrote:
> Wouter Swierstra <
wss@...> wrote:
>> Hi Creighton,
>>> Where could I find a proof that the initial algebras & final
>>> coalgebras of CPO coincide? I saw this referenced in the
>>> "Bananas.." paper as a fact, but am not sure where this comes from.
>> I couldn't find the statement you are referring to in "Functional
>> Programming with Bananas, Lenses, Envelopes, and Barbed Wire" - but
>> I'm not sure if this holds for every CPO.
>
> Probably he was referring to the last paragraph of the introduction:
>
> Working in CPO has the advantage that the carriers of intial algebras
> and final co-algebras coincide, thus there is a single data type that
> comprises both finite and infinite elements.
Ah - thanks for pointing that out. According to my more categorically
inclined office mates, Marcelo Fiore's thesis is a good reference:
https://www.lfcs.inf.ed.ac.uk/reports/94/ECS-LFCS-94-307/Hope that answers your question,
Wouter
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