From: Adrian Paschke <adrian.paschke@gmx.de>

Date: Sat, 6 Dec 2008 10:24:42 +0100

To: <kifer@cs.sunysb.edu>

Cc: <public-rif-wg@w3.org>, "'Christian de Sainte Marie'" <csma@ilog.fr>, "'Gary Hallmark'" <gary.hallmark@oracle.com>

Message-ID: <039401c95784$795d7f80$6c187e80$@paschke@gmx.de>

Date: Sat, 6 Dec 2008 10:24:42 +0100

To: <kifer@cs.sunysb.edu>

Cc: <public-rif-wg@w3.org>, "'Christian de Sainte Marie'" <csma@ilog.fr>, "'Gary Hallmark'" <gary.hallmark@oracle.com>

Message-ID: <039401c95784$795d7f80$6c187e80$@paschke@gmx.de>

>> As a result you would now get {p,q,s} (which is also the inflationary model >> of it) from a production rule program >> >> p :- q >> q :- NOT r >> s :- NOT p >> >> as opposed to default negated logical model where you only would get {p, q} >> but not s. >Adrian, >I think both {p,q} and {p,q,s} are possible in production systems, right? >(That is, if q :- NOT r is selected first.) >Is this what you meant? > >michael Yes, both are possible intended models. However, the truth valuation using states (snapshot of the world represented as Herbrand interpretation) is depended on the operational semantics of the state transition system, selection policy etc. For instance, an inflationary semantics would be: Round 0: None of p, q, r, and s are true. Round 1: The falsehood of r lets us infer q, and the falsehood of p lets us infer s. The inflationary model so far is {q,s}. Round 2: The truth of q lets us infer p. The inflationary model is now {p,q,s}. Even though p is now true, the use of NOT p to infer s stands. Round 3: No new inferences are possible; the inflationary model is {p,q,s}. This lack in declarativity of the inflationary semantics with negation of course brings problems. One of the problems with inflationary semantics is that if the order of rules is not written carefully or the selection policy is not right, it winds up inferring certain facts too early, that is, using a negated subgoal that eventually turns out not to be true later. For instance, in the example it is of the form NOT p, where p becomes true later and hence is in the model. In a logical declarative semantics this would not be possible. Unfortunately, there is no agree upon declarative semantics for production rules and RIF as an interchange format between different production rules systems implementing different operational semantics should be as general as possible. -AdrianReceived on Saturday, 6 December 2008 09:25:23 UTC

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