Re: Combined Inverse Functional Properties

From: Rogier Brussee <rogier.brussee@gmail.com>
Date: Wed, 16 Feb 2005 16:13:31 +0100
Message-ID: <7af5e1b405021607131bf41c8b@mail.gmail.com>
To: SWIG <semantic-web@w3.org>
Cc: Henry Story <henry.story@bblfish.net>, jos.deroo@agfa.com, Dan Brickley <danbri@w3.org>, Yuzhong Qu <yzqu@seu.edu.cn>
```
On Wed, 16 Feb 2005 11:22:57 +0800, Yuzhong Qu <yzqu@seu.edu.cn> wrote:
> It seems to me that:
>
> what CIFP means is very close to that intersectionOf(r1, r2, ..., rn) is a reverse functional property.
>
[snip]
Except that it is not so clear what the domain (i.e. "outcome")  of :cifp is.

> > > I did just a 5 min test with Cwm and Euler :)
> > >
> > > given data
> > >
> > > :a :r1 :b.
> > > :a :r2 :c.
> > > :g :r1 :b.
> > > :g :r2 :c.
> > > :p :cifp (:r1 :r2).
> >

It seems to me that the "combined inversefunctional property" is not a
primitive notion. It seems more natural and general to have a notion
of productProperty (or combined property) which can in particular  be
inverse functional. Thus I would replace  the last sentence by :

:p :productProperty (:r1:r2).
:p a owl:InverseFunctionalProperty.

:productProperty should model a list of simulaneous properties, and it
seems easiest if it takes values in a list. To be of any use as an
inverse functional property we have to assume that two lists are
owl:sameAs if their entries are owl:sameAs and have the same order,
just as Yuzhong Qu seems to suggest.

We can define some rules capturing the notion of :productProperty.
I have no rule engine around here but does something like this work ?

:productProperty a owl:InverseFunctionalProperty;
rdfs:domain rdf:Property.

# bottom of recursion
{
?p :productProperty ?L.
?L rdf:first ?q.
?L rdf:rest rdf:nil.
}
=>
{
{?x ?q ?a} <=> {?x ?p ?A. ?A rdf:first ?a. ?A rdf:rest rdf:nil}
} .

#recursion
{
?p :productProperty ?L.
?L rdf:first ?q.
?L rdf:rest ?M.
?r :productProperty ?M}
=>
{
{?x ?q ?a. ?x ?r ?B} <=> {?x ?p ?A. ?A rdf:first ?a. ?A rdf:rest ?B}
}.

# ?q :composition (?p rdf:first). ?r :composition (?p rdf:rest). Sigh

> > >
> > > and some rules capturing only cases for 1, 2 and 3 cifp properties
> > >
> > > {?C :cifp ?L.
> > >  ?L rdf:first ?P;
> > >     rdf:rest rdf:nil.
> > >  ?A ?P ?X.
> > >  ?B ?P ?X}
> > >  =>
> > > {?A owl:sameAs ?B}.
> > >
> > > {?C :cifp ?L.
> > >  ?L rdf:first ?P;
> > >     rdf:rest ?M.
> > >  ?M rdf:first ?Q;
> > >     rdf:rest rdf:nil.
> > >  ?A ?P ?X;
> > >     ?Q ?Y.
> > >  ?B ?P ?X;
> > >     ?Q ?Y}
> > >  =>
> > > {?A owl:sameAs ?B}.
> > >
> > > {?C :cifp ?L.
> > >  ?L rdf:first ?P;
> > >     rdf:rest ?M.
> > >  ?M rdf:first ?Q;
> > >     rdf:rest ?N.
> > >  ?N rdf:first ?R;
> > >     rdf:rest rdf:nil.
> > >  ?A ?P ?X;
> > >     ?Q ?Y;
> > >     ?R ?Z.
> > >  ?B ?P ?X;
> > >     ?Q ?Y;
> > >     ?R ?Z}
> > >  =>
> > > {?A owl:sameAs ?B}.
> > >
> > >
> > > the N3QL query
> > >
> > > [] q:select {?X owl:sameAs ?Y}; q:where {?X owl:sameAs ?Y}.
> > >
> > > gave us
> > >
> > > :a owl:sameAs :a.
> > > :a owl:sameAs :g.
> > > :g owl:sameAs :a.
> > > :g owl:sameAs :g.
> > >

So nice.

> >
> >
> >
> >
```
Received on Thursday, 17 February 2005 09:26:26 UTC

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