From: Thorsten Liebig <liebig@informatik.uni-ulm.de>

Date: Fri, 16 May 2003 15:47:50 +0200

Message-ID: <3EC4EC06.7020209@informatik.uni-ulm.de>

To: Jeremy Carroll <jjc@hpl.hp.com>

CC: www-webont-wg@w3.org

Date: Fri, 16 May 2003 15:47:50 +0200

Message-ID: <3EC4EC06.7020209@informatik.uni-ulm.de>

To: Jeremy Carroll <jjc@hpl.hp.com>

CC: www-webont-wg@w3.org

I found two bugs in section 7.3.4 Extended Cardinality Testing: <description-logic/Manifest902#test>: The description says: "This non-entailment can be replicated for any three natural numbers i, j, k such that i+j < k. In this example, they are chosen as 2, 3 and 6." but the conclusion is (in Racer syntax): (define-primitive-concept nonconclusions902 (and (at-least 2 p) (at-least 3 q) (at-least 6 r))) which is indeed satisfiable. I suppose the following conclusion was intended: (define-primitive-concept nonconclusions902 (and (at-least 2 p) (at-least 3 q) (at-most 4 r))) But since at-most represents a "less or equal" condition (http://www.w3.org/TR/owl-semantics/direct#owl_maxCardinality_semantics) the description should then say "... i, j, k such that i+j =< k. In this example, they are chosen as 2, 3 and 4." The same is to <description-logic/Manifest904#test>. BTW: the current tests are not very sophisticated. I suggest to add more complex cardinality test. E.g. the following entailments: (define-primitive-concept conclusion-x1 (and (at-least 2 p) (at-most 2 q) (exactly 3 r))) (define-primitive-concept conclusion-x2 (and (at-most 2 p) (at-least 4 r) (at-most 2 q))) (define-primitive-concept conclusion-x3 (and (at-most 2 p) (at-least 4 r) (all r A) (at-least 3 q))) Or even more complex: (define-primitive-concept C) (define-primitive-concept A C) (define-primitive-concept B (and C (not A))) (define-primitive-concept D C) (define-primitive-role r :range C) (define-primitive-role p :parent r :range A) (define-primitive-role q :parent r :range B) (define-primitive-role s :parent r :range D) (define-primitive-concept conclusion-x4 (and (exactly 3 p) (exactly 3 q) (exactly 3 s) (at-most 6 r))) And some corresponding non-entailments. Thorsten -- _____________________________________________________________ Thorsten Liebig Abteilung Künstliche Intelligenz Tel.: +49 731 502 4207 Fakultät für Informatik Fax.: +49 731 502 4119 Universität UlmReceived on Friday, 16 May 2003 09:47:55 GMT

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