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Re: [ontolog-forum] Accommodating legacy software

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Michael Brunnbauer <brunni@xxxxxxxxxxxx>
Date: Fri, 31 Aug 2012 18:21:12 +0200
Message-id: <20120831162111.GA16803@xxxxxxxxxxxx>

hi all,    (01)

On Fri, Aug 31, 2012 at 12:47:49PM +0200, Michael Brunnbauer wrote:
> hmmm... The problem seems to be that the scope of the existential 
> quantification is missing. not exists a: B(a) is not the same as
> exists a: not B(a). It seems that every blank node needs to be assigned a 
> space/surface where the quantification occurs (the "outermost" 
>space/surface?).
> OK - not so easy and probably not part of any current draft...    (02)

Maybe this would work:    (03)

I(g rdf:type rdf:truespace) true iff
 for every T: CT(I(g),T) -> [I+A](T) = true
 for some mapping A from blank(I(g)) to IR    (04)

I(g rdf:type rdf:falsespace) true iff
 exists T: CT(I(g),T) and [I+A](T) = false
 for some mapping A from blank(I(g)) to IR    (05)

The necessary blank node mappings would be added to the interpretation while
"descending" into the nested surfaces.    (06)

Still a semantic extension - another layer instead of a new foundation - but
at least not very intrusive.    (07)

Regards,    (08)

Michael Brunnbauer    (09)

-- 
++  Michael Brunnbauer
++  netEstate GmbH
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