Hi Andrew and Travis,

> The easy one first: should the reverse ordering also exist? That is, "reverse 
> lex", "reverse dominance", "reverse containment"? If people agree that it is 
> worth including these explicitly it would be
> good if there was a systematic way to organise all of the orderings...will 
> let you know if I come up with something.

Yes, I think this is reasonable!

> The second question is harder: is it intended that, ultimately, the order in 
> which the partitions are generated by the iterator will be compatible with 
> the order on the parent? If the ordering is part
> of the parent then I think that this is a reasonable expectation but, of 
> course, it would be painful implement.
> 
> What do people think is the "ideal" way this should work for any parent that 
> comes equipped with an (optionable) ordering?

Basically you would like the iterator to return a linear extension of the
ordering? That might be possible if by considering the poset given by
the partial order.

Best,

Anne

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