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TEST: description-logic testcases

From: Jos De_Roo <jos.deroo@agfa.com>
Date: Fri, 9 May 2003 02:06:02 +0200
To: www-webont-wg@w3.org
Message-ID: <OF84EC6D7B.5FC09211-ONC1256D20.007F3178-C1256D21.00008EBC@agfa.be>

This is maybe a (railway) sleeper;
is about (re)writing those dl testcases in
simple triples and triple implications.

Let's take case 001

<!--
DL Test: fact1.1
If a, b and c are disjoint, then:
(a and b) or (b and c) or (c and a)
is unsatisfiable.
-->

and simply write that down as

:a owl:disjointWith :b.
:a owl:disjointWith :c.
:b owl:disjointWith :c.
{:a owl:disjointWith :b. :b owl:disjointWith :c. :c owl:disjointWith :a} =>
{: a :Inconsistency}.

where the rewrite of (a and b) or (b and c) or (c and a)
is the cnf ~(a or b) or ~(b or c) or ~(c or a) or false

and then the inconsistency is easily proved as
: a :Inconsistency.

-- ,
Jos De Roo, AGFA http://www.agfa.com/w3c/jdroo/
Received on Thursday, 8 May 2003 20:06:14 GMT

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