
On Dec 28, 2007 3:55 PM, David Roundy
On Dec 28, 2007 9:51 AM, Benja Fallenstein
wrote: If you use intercalate to join, I would presume that you would want to use an inverse of it to split. I'd write it like this:
Of course, there is no inverse to intercalate
Right; I misspoke. What I meant was that you would want a split such that intercalate a (split a xs) = a for finite, total (a,xs) (and, since it's achievable, even for infinite xs). Of course, (split a xs = [xs]) satisfies that, but if we add the requirement that split is also supposed to do its job :-) then I think split is fully specified except for whether (split a [] = []) or (split a [] = [[]]). The latter seems better to me; e.g., it satisfies split a (x ++ a ++ y) = split a x ++ split a y
so if you want to use a "logical" approach, perhaps you'd want to define split first, and then define your join as the inverse of split.
If your join comes out as being intercalate, I suppose it's six of one, half a dozen of the other :-) - Benja