Re: Decision from the Semantics TF: liberal baseline

  "if the triple structure appears in S"

What does "appears in S" mean?  If it has its intuitive meaning then I don't 
think that the RDF entailment pattern is valid.

peter


On 1/9/25 4:47 AM, Franconi Enrico wrote:
> These are the more precise definitions separating the RDF and RDFS semantics.
> They are already in the document
> https://github.com/w3c/rdf-star-wg/wiki/RDF-star-%22liberal-baseline%22 
> <https://github.com/w3c/rdf-star-wg/wiki/RDF-star-%22liberal-baseline%22>
> Comments welcome.
> 
> 
>     RDF SEMANTICS
> 
> RDF semantics restricts the function |[I+A](.)| with the following 
> additional /metamodelling/ condition:
> 
>   * |<r, [I+A](rdf:Property)> ∈ IEXT([I+A](rdf:type))|
>                if |∃ x,y,z . RE(x,r,z)=y|
> 
> Additional metamodelling sound and complete RDF entailment patterns (informative):
> 
>  if the triple structure appears in S  then S RDF(S) entails
> */reif0/*  sss aaa ooo  aaa rdf:type rdf:Property .
> 
> 
>     RDFS SEMANTICS
> 
> RDFS semantics restricts the function|[I+A](.)|with the following additional/ 
> metamodelling/conditions:
> 
>   * ⏩ |<r, [I+A](rdfs:Resource)> ∈ IEXT([I+A](rdf:type))|
>                if |∃ x,y,z . RE(x,z,y)=r| or
>                if |∃ x,y,z . RE(x,z,r)=y| or
>                if |∃ x,y,z . RE(r,z,x)=y| ⏪️
>   * ⏩ |<r, [I+A](rdfs:Proposition)> ∈ IEXT([I+A](rdf:type))|
>                if |∃ x,y,z . RE(x,z,y)=r| or
>                if |∃ x,y .   RE(x,[I+A](rdf:reifies),r)=y| ⏪️
> 
> Additional metamodelling sound and complete RDFS entailment patterns 
> (informative):
> 
>  if the triple structure appears in S  then S RDF(S) entails
> */reif0/*  sss aaa ooo  sss rdf:type rdfs:Resource .
> ooo rdf:type rdfs:Resource .
> 
>  if S contains  then S RDFS entails
> */reif1/*  sss aaa <<(xxx yyy zzz)>>  <<(xxx yyy zzz)>> rdf:type 
> rdfs:Proposition .
> */reif2/*  <<(xxx yyy zzz)>> aaa ooo  <<(xxx yyy zzz)>> rdf:type 
> rdfs:Proposition .
> */reif3/*  sss rdf:reifies ooo  ooo rdf:type rdfs:Proposition .
> 
> 
> 
> 
> 
> 

Received on Thursday, 9 January 2025 11:07:24 UTC