Boolean expressions for n-ary dataranges

Hi!

While trying to align the formulae in the RDF-Based Semantics with those in
the Direct Semantics, a few questions arose about n-ary dataranges (the
"n-ary stub"), where I am not sure whether OWL 2 Full is currently in line
with OWL 2 DL.
 
The Direct Semantics states in Section 2.2.2 [1]:

    "Data ranges, however, can be n-ary, 
    [...]
    An n-ary data range DR is interpreted as 
    an n-ary relation (DR)DT over ?D."

Now, in the following Table 3, I can see that complements are really defined
for n-ary dataranges, not just for unary ones:

    ComplementOf( DR )  |  (?D)^n \ (DR)^DT where n is the arity of DR

* My first question is: Is this really intended? 
Do we want/need complements of n-ary dataranges?

* Second, I don't know what is the situation for
intersections and unions of dataranges (also Table 3). 
Are they supposed to be defined for n-ary dataranges, too?
I don't remember any discussion on this, when we talked about 
the addition of these features (before and at F2F4). 
But it would look odd, IMHO, if only complements are allowed 
for n-aries, but not the other boolean constructs. 
I would expect that either all or none of the boolean constructs
can be used together with n-ary dataranges.

* Third: Dataranges (marked by "DR") are also mentioned at other places
of the spec. For example, data-QCRs [2] and domain/range axioms [3] 
are defined for data ranges, not for data types.
Now I wonder: From the definitions of these language constructs,
it doesn't appear that they can be used with n-ary dataranges,
because the instances of the dataranges mentioned there
are values of data properties, hence ordinary datatype values.
But this should then be made a bit more clear, because it seems
to be in odd with Section 2.2.2 [1], which says that dataranges
can be n-ary.

Cheers,
Michael

[1] http://www.w3.org/2007/OWL/wiki/Direct_Semantics#Data_Ranges
[2] http://www.w3.org/2007/OWL/wiki/Direct_Semantics#Class_Expressions
[3]
http://www.w3.org/2007/OWL/wiki/Direct_Semantics#Data_Property_Expression_Ax
ioms

--
Dipl.-Inform. Michael Schneider
FZI Forschungszentrum Informatik Karlsruhe
Abtl. Information Process Engineering (IPE)
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Email: Michael.Schneider@fzi.de
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