Re: [Sem] Yet another formal semantics for RDF-star

Actually it is unclear what semantic predication should look like.   This 
proposal is reification plus uniqueness.   Whether that is semantic 
predication depends on what one thinks the requirements for semantic 
predication are.  One could argue that semantic predication requires that 
there are resources that are actually triples, not just that there are 
resources that are connected to resources via subject, predicate, and object 
relationships.  I think that it would be possible to add this extra 
requirement to the semantics.

peter


On 3/27/23 13:28, Peter F. Patel-Schneider wrote:
> Are you sure?  My reading is that this is semantic predication without 
> assertion.    Consider the RDF graph { (( s p o ) q n) }.
> 
> A model of this graph is
> ( { t' s' o' n' }, { p', q', rs', rp', ro' }, JS, {}, JT, JEXT, rs', rp' ro' )
> with JS mapping s to s', o to o', n to n', p to p', and o to o',
> JT( (s p o) ) =  t',
> JEXT(q') = { ( t', n' ) }
> JEXT(p') = {}
> JEXT(rs') = { ( t', s' ) }
> JEXT(rp') = { ( t', p' ) }
> JEXT(ro') = { ( t', o' ) }
> 
> Note that JS has to map to resources or properties as in the RDF 1.1 semantics.
> 
> 
> In this semantics there is no entailment from { (( s p o) q n } to { (s p o)}
> but there is entailment from { ((s p "42"^^xsd:int) q n) } to
> { ((s p "42"^^xsd:integer) q n) } if xsd:int and xsd:integer are recognized 
> datatypes.
> 
> peter
> 
> 
> On 3/27/23 13:02, Franconi Enrico wrote:
>> I looked at it carefully. This seems to characterise more or less the model 
>> theory of what I call syntactic predication, which is more or less the 
>> current definition of <<.,.,.>>.
>> Some comments - tell me if I’m wrong.
>> Some difference I note is that a syntactically embedded triple would still 
>> entail the truth of the triple itself, which probably is not intended, and 
>> that the reification “implements” the full semantic predication (ie., it 
>> would be fully transparent).
>> Moreover, there is still the open discussion about injectivity, and the 
>> interoperation, if desired, with the TEP and/or with the full semantic 
>> predication.
>> cheers
>> —e,
>>
>>
>>> On 27 Mar 2023, at 18:08, Antoine Zimmermann <antoine.zimmermann@emse.fr> 
>>> wrote:
>>>
>>> Le 27/03/2023 à 17:37, Peter F. Patel-Schneider a écrit :
>>>> It would be useful to have some more explanation and some examples.
>>>
>>> Yes, it is brutally asserting the definitions and nothing else.
>>>
>>>>  From my quick read this appears to be very lose to to using RDF 
>>>> reification plus uniqueness of triples.
>>>
>>> Yes. The one benefit that I see is that it does not require introducing a 
>>> vocabulary that would "reserve" some URIs.
>>>
>>>> In the Satisfaction section it appears that either a nor J[a] is defined 
>>>> for blank nodes.
>>>
>>> Damn, I sometimes used bold face T as if it meant the set of all terms, 
>>> while it is in fact defined as the set of RDF-star triples.
>>>
>>> α should be defined on "B ⋃ T ∖ Gnd".
>>> There is an unfortunate copy-paste error before the colon of the 1st 
>>> paragraph in section "az-Satisfaction"("𝓘[α](t) = : T → Δ" should be "𝓘[α]: 
>>> T → Δ" and the second item of the first bullet list of this section should 
>>> have "B ⋃ T ∖ Gnd" instead of "T ⋃ Gnd".
>>>
>>> I'll correct that.
>>>
>>> --AZ
>>>
>>>
>>>> peter
>>>>> On 3/27/23 09:09, Antoine Zimmermann wrote:
>>>>> This is mostly for the semantics task force.
>>>>>
>>>>> I wrote this:
>>>>> https://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.emse.fr%2F~zimmermann%2FW3C%2FRDF-star-semantics%2F&data=05%7C01%7Cfranconi%40inf.unibz.it%7C0af42a10bb17440a339608db2edd762c%7C9251326703e3401a80d4c58ed6674e3b%7C0%7C0%7C638155300922073245%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=6uRqnTJKbGqC0B321HKqZRihQL0MdSw55mCJars9kFg%3D&reserved=0
>>>>>
>>>>> The idea is that embedded triples are interpreted as arbitrary resources 
>>>>> and the resources denoted by the subject, predicate, and object of an 
>>>>> embedded triple are connected (semantically) to the 
>>>>> embedded-triple-resource via 3 properties that depend on the interpretation.
>>>>>
>>>>> Now, please comment and destroy this proposal :)
>>>
>>> -- 
>>> Antoine Zimmermann
>>> ISI - Institut Henri Fayol
>>> École des Mines de Saint-Étienne
>>> 158 cours Fauriel
>>> 42023 Saint-Étienne Cedex 2
>>> France
>>> Tél:+33(0)4 77 42 66 03
>>> https://eur03.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.emse.fr%2F~zimmermann%2F&data=05%7C01%7Cfranconi%40inf.unibz.it%7C0af42a10bb17440a339608db2edd762c%7C9251326703e3401a80d4c58ed6674e3b%7C0%7C0%7C638155300922073245%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&sdata=Uq9jD3AqFfA1fbVNzL6X3Fbrw49ESs6uHuBe3jC1Ago%3D&reserved=0
>>>
>>>

Received on Monday, 27 March 2023 17:36:51 UTC