... btw, there is another interesting definitional question here.
AFAICS, "ON EMPTY" effectively is an override for the aggregate's
final function.  Does it actually make sense when there is a final
function?  Specifically, if the final function were willing to
provide non-null output for zero rows in, should we still override
it?  SUM and PRODUCT don't provide a lot of guidance here.

I'm also wondering idly how this interacts with "inverse transition
functions" for aggregates used as window functions.

                        regards, tom lane


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