Re: Decision from the Semantics TF: liberal baseline

Complete?  For what?  What happened to the simple semantics?

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 16:55:32 UTC