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Re: Strawman Model Theory

From: <jos.deroo.jd@belgium.agfa.com>
Date: Mon, 23 Jul 2001 19:24:04 +0100
To: bwm@hplb.hpl.hp.com
Cc: w3c-rdfcore-wg@w3.org
Message-Id: <OF1474BF0B.8E87C777-ON41256A92.005D2B5F@bayer-ag.com>

Nice work, really!


> Let U be the set of URI References (as defined by RDF 2396).
>                           //ignore lang and namespaces for now
> Let S be the set of of UNICODE strings (UNICODE*)

I guess U and S are denumerable, no?

> An interpretation I consists of:
> A set R of thingies
> A subset P of thingies which corresponds to Properties
> A mapping IN : U -> R
> A mapping IEXT : P -> R x R            // R cross R

Isn't the notation f: A -> B used for a function with
domain A and range B?
But IEXT is not a funtion at all, it is a relation on
a cross product R x R which is simply a subset of R x R
IEXT(I(p)) = {<I(s),I(o)> el R x R: I(s) I(p) I(o) is true}

> A mapping IS : S -> R


Jos De Roo, AGFA http://www.agfa.com/w3c/jdroo/
Received on Monday, 23 July 2001 13:26:38 EDT

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