Re: Using cardinality restrictions

Pascal Hitzler and friends have written one that might help

Foundations of Semantic Web Technologies
Pascal Hitzler, Kno.e.sis Center at Wright State University, Dayton,  
Ohio, USA; Markus Krotzsch, University of Oxford, Oxford, UK;  
Sebastian Rudolph, University of Karlsruhe, Karlsruhe, Germany

- but I am afraid that you won't really get around the logic  
bit...other than that, I don't know of any other textbook style book.  
Then there is the DL Handbook (logic, I know), the OWL 2 primer, and  
general overview papers of OWL (e.g., http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.2.7039&rep=rep1&type=pdf 
  )

Cheers, Uli



On 13 Jul 2011, at 15:47, ceballos@itesm.mx wrote:

> Is there any didactic book with kind of recipies for questions like  
> this? And I don't mean a logic one but an OWL one.
> Cheers
> Hector g Ceballos
> Enviado desde mi oficina móvil BlackBerry® de Telcel
>
> From: Uli Sattler <sattler@cs.man.ac.uk>
> Sender: public-owl-dev-request@w3.org
> Date: Wed, 13 Jul 2011 14:46:13 +0100
> To: <Soeren.Kemmann@iese.fraunhofer.de>
> Cc: <public-owl-dev@w3.org>
> Subject: Re: Using cardinality restrictions
>
>
> On 13 Jul 2011, at 14:28, <Soeren.Kemmann@iese.fraunhofer.de> wrote:
>
>> Hi Uli, hi @all,
>>
>> Yes, that makes sense!
>> I was trying to build a small example analog to the famous pizza  
>> example.
>> The difference is that I do not want to assign instances to the  
>> partitions and use them, but I want to just define instances and  
>> have the reasoner interfere to which class they belong to.
>> I’m sorry … but I couldn’t achieve this yet. This is what I did:
>> My Class Hierarchy:
>> Thing
>> - RefClass
>> - TestValuePartition == (Part1 union Part2)
>>                 - Part1
>>                 - Part2
>> Part1 and Part 2 are marked as disjoint.
>> Furthermore, I defined that Part 1 has some references to RefClass  
>> (hasRef some Class).
>> Now, if I create two instances with asserted type  
>> TestValuePartition, one that has a reference to an instance of  
>> RefClass and the other having no instance.
>
> again, be careful, 'the other having no *known* [reference to an]  
> instance of RefClass.
>
>> Due to the value partition I would have expected that instance 1 is  
>> interfered to be of Part1
>
> ...and this works (as you say below)
>
>> and instance 2 to be of Part2, but again only Part1 works!
>
> same as before: instance 2 may or may not have a hasRef-successor,  
> so we have not enough information to say whether instance 2 is an  
> instance of Part1 or of Part2...
>
>> Instance 2 stays as being a TestValuePartition instance (only). For  
>> me the Value Partition is in this case not a value partition!?
>> What am I missing?
>>
>
> I am afraid you are missing the open world assumption (and thus of  
> possible, but neither necessarily true, nor necessarily false facts  
> - e.g., instance 2 is possibly an instance of Part1, possibly an  
> instance of Part2, thus not necessarily an instance of  
> either)...check for 'closure axioms'! Cheers, Uli
>
>
>
>> Thanks a lot!
>>
>> Cheers,
>> Sören
>>
>>
>>
>> From: Uli Sattler [mailto:sattler@cs.man.ac.uk]
>> Sent: Dienstag, 12. Juli 2011 17:35
>> To: Kemmann, Soeren
>> Cc: public-owl-dev@w3.org
>> Subject: Re: Using cardinality restrictions
>>
>>
>> On 12 Jul 2011, at 10:27, <Soeren.Kemmann@iese.fraunhofer.de> wrote:
>>
>>
>> Hi there,
>>
>> I’m trying to model (with Protégé 3.4.6 with Pellet Reasoner … just  
>> in case it matters) that a class A has two subclasses B and C,  
>> where B and C are disjoint.
>> The distinction I want to make is that every instance of A is  
>> either of subclass B or of C dependent on the cardinality of a  
>> property p.
>> The “test” is whether the instance has values assigned to property  
>> p ( p min 1). This kind of works … the instances are interfered to  
>> be of that type.
>> But the other class does not work. If tried (p max 0), (p exactly  
>> 0), (p exactly 0 RangeClass), but nothing works.
>>
>> I’m using OWL-DL and as far as I understood 0/1 cardinalities are  
>> ok for OWL-DL, right?
>>
>>
>> Hi Soeren,
>>
>> yes, they do - I guess you have, in your ontology, something like
>>
>> B SubClassOf C
>> A SubClassOf C  %% these two axioms aren't really necessary if you  
>> have the 2 below...
>>
>> A EquivalentClass C and (p min 1)
>> B EquivalentClass C and (p max 0)
>>
>> ...and then when you have an instance of C with
>>
>> - 1 known p-successor, they are classified as being an instance of A
>> - no known p-successor, they are ... only classified as being an  
>> instance of C - and you wonder why...
>>
>> The reason is found in the word 'known' used above: your instance  
>> of C has no *known* p-successor, but could have some, due to the  
>> open world assumption!
>>
>> So, how to rescue this? For example, you could say explicitly how  
>> many p-successors an individual has...in general, you need a  
>> 'closure' statement that says that the *known* p-successors are all  
>> p-successors.
>>
>> If I remember correctly, the famous Pizza tutorial explains this in  
>> detail (see http://owl.cs.manchester.ac.uk/tutorials/protegeowltutorial/ 
>>  )
>>
>> Cheers, Uli
>>
>>
>> Thanks a lot!
>> Cheers,
>> Sören
>>
>>
>> Dipl. Inf. Soeren Kemmann
>> Fraunhofer IESE
>> Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany
>> Tel.: +49 (0) 631 / 6800 - 2218
>> Fax.: +49 (0) 631 / 6800 - 9 2218
>> mailto:soeren.kemmann@iese.fraunhofer.de
>>
>