From: Francois Bry <bry@ifi.lmu.de>

Date: Thu, 04 May 2006 08:52:00 +0200

Message-ID: <4459A490.8000609@ifi.lmu.de>

To: public-rif-wg@w3.org

Date: Thu, 04 May 2006 08:52:00 +0200

Message-ID: <4459A490.8000609@ifi.lmu.de>

To: public-rif-wg@w3.org

Peter F. Patel-Schneider wrote: > A reference to logics based on infinite Herbrand intepretations that shows > how they relate to standard first-order logics. > I think, you should find this in the following books (the first seems to be out of print): John Lloyd. Foundations of Logic Programming, Springer 1984, 1991 Kees Doets. From Logic to Logic Programming, The MIT Press, 1994)* *http://www.amazon.com/gp/product/0262041421/sr=8-1/qid=1146724851/ref=pd_bbs_1/104-1241285-2467909?%5Fencoding=UTF8** > In logics where every "domain element" has a name, the substitution > interpretation of quantifiers is well known. However, how does this relate > to logics where there is not necessarily a name for every domain element or > where there cannot be a name for every domain element? > To the best of my understanding, classical logic's model theory is not such that "every domain element necessarily has a name" (I guess, you mean a name expressible in the syntax of the logic language). And, I would dare to say that the evaulation of existential quantieifers in classical logic is well-known... >> To the best of my understanding, the one and the other syntax are both >> possible. Personally, I would prefer a syntax (subject predicate object) >> because it is natural and simple. >> > > Is this a (single) ternary predicate? If not, how does it match the > proposal? If so, how can it be considered to be natural? > (subject pred object) can be a infix notation for a binary predicate "pred". This is standard in classical logic where, e.g. the binary predicate "+" for addition is often written infix, eg (3 + 4) instead of prefix, eg +(3, 5). To the best of my understanding, such an infix notation would be very convenient for RDF triples. I see it as natural for two reasonsd: 1. it reminds of eg addition 2. it is closed to natural language (where (subject predicate object) orignally come from, first proposed, if I remember well, by Aristotle.) FrancoisReceived on Thursday, 4 May 2006 06:52:04 GMT

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