Re: Decision from the Semantics TF: liberal baseline



> On 8 Jan 2025, at 17:55, Peter F. Patel-Schneider <pfpschneider@gmail.com> wrote:
> 
> Complete?  For what?  What happened to the simple semantics?

I mean wrt the part on metamodelling in RDF/RDFS.
—e.

> 
> peter
> 
> 
> On 1/8/25 11:45 AM, Franconi Enrico wrote:
>> This is my complete proposal:
>>  * ⏩ |<r, [I+A](rdfs:Proposition)> ∈ IEXT([I+A](rdf:type))|
>>               if |r ∈ range(RE)| or
>>               if |∃ x,y . RE(x,[I+A](rdf:reifies),r)=y| ⏪️
>>  * ⏩ |<r, [I+A](rdfs:Resource)> ∈ IEXT([I+A](rdf:type))|
>>               if |r ∈ range(RE)| or
>>               if |∃ x,y,z . RE(x,z,r)=y| or
>>               if |∃ x,y,z . RE(r,z,x)=y| ⏪️
>>  * ⏩ |<r, [I+A](rdfs:Property)> ∈ IEXT([I+A](rdf:type))|
>>               if |∃ x,y,z . RE(x,r,z)=y| ⏪️
>> 	if the triple structure appears in S  then S RDF entails
>> */reif1/*  sss aaa <<(xxx yyy zzz)>>  <<(xxx yyy zzz)>> rdf:type rdfs:Proposition .
>> <<(xxx yyy zzz)>> rdf:type rdfs:Resource .
>> sss rdf:type rdfs:Resource .
>> aaa rdf:type rdfs:Property .
>> */reif2/*  <<(xxx yyy zzz)>> aaa ooo  <<(xxx yyy zzz)>> rdf:type rdfs:Proposition .
>> <<(xxx yyy zzz)>> rdf:type rdfs:Resource .
>> ooo rdf:type rdfs:Resource .
>> aaa rdf:type rdfs:Property .
>> */reif3/*  sss rdf:reifies ooo  ooo rdf:type rdfs:Proposition .
>>        —e.
>>> On 8 Jan 2025, at 17:35, Franconi Enrico <franconi@inf.unibz.it> wrote:
>>> 
>>> Option 1 (the current option) adds metamodelling inference only for asserted triples.:
>>> 
>>> 
>>>        Option 1 (shallow metamodelling)
>>> 
>>> 
>>>          * ⏩ |<[I+A](r), [I+A](rdf:Proposition)> ∈ IEXT([I+A](rdf:type))|
>>>                      if |r is a triple term and ∃ x,y . (<x,[I+A](r)> ∈
>>>            IEXT(y)) ⋁ (<[I+A](r),x> ∈ IEXT(y))|
>>>                      or if |∃ x . <x,[I+A](r)> ∈ IEXT([I+A](rdf:reifies))| ⏪️
>>> 
>>> Note that this is just wrong since in this case we have
>>> [I+A](rdfs:Resource) ≠ IR
>>> [I+A](rdfs:Property) ≠ IP
>>> 
>>> 
>>>        Option 2 (true metamodelling)
>>> 
>>> 
>>>          * ⏩ |<r, [I+A](rdf:Proposition)> ∈ IEXT([I+A](rdf:type))|
>>>                      if |r ∈ range(RE)| or
>>>                      if |∃ x,y . RE(x,[I+A](rdf:reifies),r)=y| ⏪️
>>>          * ⏩ |<r, [I+A](rdfs:Resource)> ∈ IEXT([I+A](rdf:type))|
>>>                      if |r ∈ range(RE)| or
>>>                      if |∃ x,y,z . RE(x,z,r)=y| or
>>>                      if |∃ x,y,z . RE(r,z,x)=y| ⏪️
>>>          * ⏩ |<r, [I+A](rdfs:Property)> ∈ IEXT([I+A](rdf:type))|
>>>                      if |∃ x,y,z . RE(x,r,z)=y| ⏪️
>>> 
>>> 
>>> Option 2 adds new metamodelling conditions, which implies that
>>> 
>>> [I+A](rdfs:Resource) = IR
>>> 
>>> [I+A](rdfs:Property) = IP
>>> 
>>> as it should.
>>> The entailment pattern for option 2 will have "if the triple structure appears in S”.
>>> 
>>> —e.
>>> 
>>>> On 8 Jan 2025, at 17:17, Doerthe Arndt <doerthe.arndt@tu-dresden.de> wrote:
>>>> 
>>>> Dear Niklas,
>>>> 
>>>>> 
>>>>> I think that it should be derived. And I agree that the triple constituents are resources (due to transparency).
>>>>> 
>>>>> I believe the following rule does that (given the existing RDF 1.1 entailment):
>>>>> 
>>>>> If S contains:
>>>>> 
>>>>>   sss aaa <<(xxx yyy zzz)>> .
>>>>> 
>>>>> or S contains (in symmetric RDF):
>>>>> 
>>>>>   <<(xxx yyy zzz)>> aaa ooo .
>>>>> 
>>>>> then S RDF(1.2)-entails (in symmetric RDF):
>>>>> 
>>>>>   <<(xxx yyy zzz)>> rdf:type rdf:Proposition .
>>>>>   <<(xxx yyy zzz)>> rdf:propositionSubject xxx .
>>>>>   <<(xxx yyy zzz)>> rdf:propositionPredicate yyy .
>>>>>   <<(xxx yyy zzz)>> rdf:propositionObject zzz .
>>>>> 
>>>>> Then define:
>>>>> 
>>>>>   rdf:propositionPredicate rdfs:range rdf:Property .
>>>>> 
>>>>> To make yyy a property. (Which I think makes sense, even though weird triple terms misusing e.g. classes as properties would have weird consequences.)
>>>>> 
>>>>> 
>>>> 
>>>> It is a little bit more complicated because of the nesting. We could have
>>>> 
>>>> :a :b <<( :s :p  <<( :x :y :z )>> )>>.
>>>> 
>>>> we would want to derive that
>>>> 
>>>> :y a rdf:Property.
>>>> 
>>>> But that could still be done with a detailed version of Enrico’s "triple structure appears in“ notation. We could still get your triples.
>>>> 
>>>> Another problem I see with your approach here is that we depend on RDFS while the properties are already derived in RDF and I assume that we want to keep it that way.
>>>> 
>>>> Another question is whether or not we want the proposition subject, predicate and object, but they could serve the purpose.
>>>> 
>>>> Kind regards,
>>>> Dörthe
>>>> 
>>>> 
>>>> 
>>> 
> 
> 

Received on Wednesday, 8 January 2025 16:56:47 UTC