From: Michael Kifer <kifer@cs.sunysb.edu>

Date: Sat, 12 Apr 2008 04:36:59 -0400

To: debruijn@inf.unibz.it (Jos de Bruijn)

cc: public-rif-wg@w3.org (RIF WG)

Message-ID: <29509.1207989419@cs.sunysb.edu>

Date: Sat, 12 Apr 2008 04:36:59 -0400

To: debruijn@inf.unibz.it (Jos de Bruijn)

cc: public-rif-wg@w3.org (RIF WG)

Message-ID: <29509.1207989419@cs.sunysb.edu>

Earlier I wrote: > > Jos wrote: > > > This looks a bit like universal quantification, which is not something > > we want to have, I think. > > > > Consider a rule set R with one atom and one import statement: > > p^^iri(a^^local) > > Directive(Import(i)) > > > > and the rule set identified by i: > > p^^iri(a^^local) > > > > Consider a structure I such that p^^iri(a^^local) is true, so there is > > an element k in the set denoted by p. > > Consider now any structure I* that is like I such that I*_C(a^^local)=l; > > if I* is a model of i, then l is necessarily in the set denoted by p. > > Since i must be satisfied by every such I*, it is necessarily the case > > that if I is a model of R, the set denoted by p includes all elements in > > D_ind, so > > Forall ?x (p^^iri(?x)) must be satisfied. > > I think you are committing a subtle logical fallacy. > > Note that I* is required to be a model of contents(iri) only, not of the > entire set of rules. > > If p(l) is true in *some* I*, it does not mean that p(l) must be true in I. > For different I*'s, different l's will be in p. But for none of them p(l) > needs to be in I. Sorry, the logical fallacy was mine. I tried to simplify things, confused myself, and came up with a broken definition. But a proper definition is not that difficult -- just have to stick to the basic outline of the Roman framework. Define multidocument semantic structures as follows. Suppose you have documents d1, ..., dn. A semantic structure, I, for d1,...,dn is a tuple of semantic structures (I1,...,In) such that I1 |= contents(d1) ... In |= contents(dn) Then you start gluing those semantic structures. For general modules it is slightly more involved, but for imports it is simple: For every statement Import(di) which appears in dj, the following must hold: Ii must coincide with Ij except that Ii_C, Ii_F, and Ii_CF can differ from Ij_C, Ij_F, and Ij_CF on the local symbols. --michaelReceived on Saturday, 12 April 2008 18:05:46 UTC

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