Hi Nicolas,

On 2012-10-12, Nicolas M. Thiery <nicolas.thi...@u-psud.fr> wrote:
> By the way, to throw in some more keyword: SearchForest and
> TransitiveIdeal are really about computing the *closure* of a set
> under some operations. So at this point my two preferred variants are
> RecursiveSet or anything build with close: ClosedSet? ClosureOfSet?
> ClosureSet? However this is a bit too general and could get people to
> think that this is about analysis-related topology.

In my former life (until PhD), I mainly did topology, and indeed
ClosedSet would remind me of topology. AlgorithmicallyClosedSet would
avoid that association, but is too long. Hence, I still prefer
RecursiveSet.

By the way, did you think about a construction functor for the new
parents? If I understand correctly, you have some algorithmic procedure
A that you apply to some basic data (a root) R. Hence, it would not be
totally absurd to have an AlgorithmicClosure functor F(A), such that
F(A) applied to R returns the associated RecursiveSet. The existence of
a construction functor would support the construction of coerce maps -
*IF* one is able to guess the priority of F(A) (i.e., would one first
apply F(A) or another functor in a pushout?) and how it merges/commutes
with other functors - both would depend on the mathematical properties of A.

That's a pretty big "if". So, perhaps having construction functors would
be unfeasible. But perhaps you have ideas of how to make it work.

Best regards,
Simon


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