Open World Assumption in Protégé Ontology - owl

I want to model the concept of a movie series in Protege.
Here's my movie trilogy class:
Here is the definition of an individual in the class 'Film Series':
The individual has three 'hasEpisode' properties.
But the open world assumption (OWA) prevents this individual to be inferred under the class 'Trilogy'.
Possible solution:
I could give each individual in the Film Series class a data property that specifies the amount of movies in the series.
However, I would rather like to use the number of 'hasEpisode' object properties (because they are already available and it would mean less maintenance).

All you need to do is declare that those three films are not the same, and assert that those are the only three films that the series has. You can do that by saying that the episodes are all different:
Episode1 ≠ Episode2
Episode1 ≠ Episode3
Episode2 ≠ Episode3
and that the triology has only those episodes:
{theTriology} ⊑ ∀ hasEpisode.{Episode1, Episode2, Episode3}
You need both types of axioms. The universal axiom says that every episode of the series must be either episode1, episode2, or episode3. That means that the series has at most three episodes, but it could have fewer, if any of those individuals are actually the same. Then the inequalities say that those individuals are all distinct, which means that the series actually has at least three episodes. Since it has at least three and at most three, it must have exactly three.
Here's what it looks like in Protege (note that TheMatrix is inferred to be a Trilogy):
Here's the ontology, in case you want to take a look:
#prefix : <http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#prefix untitled-ontology-38: <http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
untitled-ontology-38:Triology
a owl:Class ;
owl:equivalentClass [ a owl:Class ;
owl:intersectionOf ( untitled-ontology-38:FilmSeries _:b0 )
] .
untitled-ontology-38:FilmSeries
a owl:Class .
_:b0 a owl:Restriction ;
owl:cardinality "3"^^xsd:nonNegativeInteger ;
owl:onProperty untitled-ontology-38:hasEpisode .
untitled-ontology-38:hasEpisode
a owl:ObjectProperty .
<http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38>
a owl:Ontology .
untitled-ontology-38:TheMatrixRevolution
a owl:Thing , owl:NamedIndividual .
untitled-ontology-38:TheMatrixReloaded
a owl:Thing , owl:NamedIndividual .
untitled-ontology-38:TheMatrix
a owl:Thing , owl:NamedIndividual .
[ a owl:AllDifferent ;
owl:distinctMembers ( untitled-ontology-38:TheMatrix untitled-ontology-38:TheMatrixReloaded untitled-ontology-38:TheMatrixRevolution )
] .
untitled-ontology-38:Matrix
a owl:NamedIndividual , untitled-ontology-38:FilmSeries ;
a [ a owl:Restriction ;
owl:allValuesFrom [ a owl:Class ;
owl:oneOf ( untitled-ontology-38:TheMatrixReloaded untitled-ontology-38:TheMatrix untitled-ontology-38:TheMatrixRevolution )
] ;
owl:onProperty untitled-ontology-38:hasEpisode
] ;
untitled-ontology-38:hasEpisode
untitled-ontology-38:TheMatrix , untitled-ontology-38:TheMatrixReloaded , untitled-ontology-38:TheMatrixRevolution .
<rdf:RDF
xmlns:untitled-ontology-38="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#">
<owl:Ontology rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38"/>
<owl:Class rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#FilmSeries"/>
<owl:Class rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#Triology">
<owl:equivalentClass>
<owl:Class>
<owl:intersectionOf rdf:parseType="Collection">
<owl:Class rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#FilmSeries"/>
<owl:Restriction>
<owl:onProperty>
<owl:ObjectProperty rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#hasEpisode"/>
</owl:onProperty>
<owl:cardinality rdf:datatype="http://www.w3.org/2001/XMLSchema#nonNegativeInteger"
>3</owl:cardinality>
</owl:Restriction>
</owl:intersectionOf>
</owl:Class>
</owl:equivalentClass>
</owl:Class>
<owl:NamedIndividual rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#Matrix">
<rdf:type rdf:resource="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#FilmSeries"/>
<rdf:type>
<owl:Restriction>
<owl:onProperty rdf:resource="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#hasEpisode"/>
<owl:allValuesFrom>
<owl:Class>
<owl:oneOf rdf:parseType="Collection">
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixReloaded">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#NamedIndividual"/>
</owl:Thing>
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrix">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#NamedIndividual"/>
</owl:Thing>
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixRevolution">
<rdf:type rdf:resource="http://www.w3.org/2002/07/owl#NamedIndividual"/>
</owl:Thing>
</owl:oneOf>
</owl:Class>
</owl:allValuesFrom>
</owl:Restriction>
</rdf:type>
<untitled-ontology-38:hasEpisode rdf:resource="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrix"/>
<untitled-ontology-38:hasEpisode rdf:resource="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixReloaded"/>
<untitled-ontology-38:hasEpisode rdf:resource="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixRevolution"/>
</owl:NamedIndividual>
<owl:AllDifferent>
<owl:distinctMembers rdf:parseType="Collection">
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrix"/>
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixReloaded"/>
<owl:Thing rdf:about="http://www.semanticweb.org/taylorj/ontologies/2015/2/untitled-ontology-38#TheMatrixRevolution"/>
</owl:distinctMembers>
</owl:AllDifferent>
</rdf:RDF>

Related

OWL : Does disjoint "general class axiom" via a property only works if classes themselves are disjointed?

For example 1 :
Classes : A and B.
Property : hasValue.
Axiom : hasValue some A disjointWith hasValue some B.
Individual : user1.
user1 hasValue A.
user1 hasValue B.
Protege reasoner (HermiT) throws no error.
For example 2 :
Classes : A and B.
A disjoint with B.
Property : hasValue.
Axiom : hasValue some A disjointWith hasValue some B.
Individual : user1.
user1 hasValue A.
user1 hasValue B.
Protege reasoner (HermiT) throws error.
Shouldn't "hasValue some A disjointWith hasValue some B" alone be sufficient to throw error in eg 1's case?
EDIT : example 1's reasoner result is wrong. As #Henriette Harmse showed below reasoner will throw error.
I was doing declaring Axiom a little differently than what I wrote above. I declared axiom as "hasValue some B DisjointWith hasValue some
(P and (not (B)))", where P is parent class of both A and B. (Full sample ontology below.) If you import it in protege and run, you'll not get error.
It seems :
"hasValue some B DisjointWith hasValue some A"
"hasValue some B DisjointWith hasValue some (P and (not (B)))"
are not equivalent statements.
Sample ontology :
#prefix : <http://test.org/#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
#prefix xml: <http://www.w3.org/XML/1998/namespace> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#base <http://test.org/> .
<http://test.org/> rdf:type owl:Ontology .
#################################################################
# Object Properties
#################################################################
### http://test.org/#hasValue
:hasValue rdf:type owl:ObjectProperty .
#################################################################
# Classes
#################################################################
### http://test.org/#A
:A rdf:type owl:Class ;
rdfs:subClassOf :P .
### http://test.org/#B
:B rdf:type owl:Class ;
rdfs:subClassOf :P .
### http://test.org/#P
:P rdf:type owl:Class .
### http://test.org/#USER
:USER rdf:type owl:Class .
#################################################################
# Individuals
#################################################################
### http://test.org/#A
:A rdf:type owl:NamedIndividual ,
:A .
### http://test.org/#B
:B rdf:type owl:NamedIndividual ,
:B .
### http://test.org/#user1
:user1 rdf:type owl:NamedIndividual ;
:hasValue :A ,
:B .
#################################################################
# General axioms
#################################################################
[ rdf:type owl:Restriction ;
owl:onProperty :hasValue ;
owl:someValuesFrom :A ;
owl:disjointWith [ rdf:type owl:Restriction ;
owl:onProperty :hasValue ;
owl:someValuesFrom [ owl:intersectionOf ( :P
[ rdf:type owl:Class ;
owl:complementOf :A
]
) ;
rdf:type owl:Class
]
]
] .
[ rdf:type owl:Restriction ;
owl:onProperty :hasValue ;
owl:someValuesFrom :B ;
owl:disjointWith [ rdf:type owl:Restriction ;
owl:onProperty :hasValue ;
owl:someValuesFrom [ owl:intersectionOf ( :P
[ rdf:type owl:Class ;
owl:complementOf :B
]
) ;
rdf:type owl:Class
]
]
] .
### Generated by the OWL API (version 4.5.9.2019-02-01T07:24:44Z) https://github.com/owlcs/owlapi
I have tried this now myself and for your first example I get an inconsistency with the following explanation:
Here is the actual ontology giving the inconsistency. I will need to see your actual ontology to understand why you are not getting an inconsistency.
<?xml version="1.0"?>
<rdf:RDF xmlns="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#"
xml:base="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9"
xmlns:owl="http://www.w3.org/2002/07/owl#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:xml="http://www.w3.org/XML/1998/namespace"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:untitled-ontology-9="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#">
<owl:Ontology rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9"/>
<owl:ObjectProperty rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#hasValue"/>
<owl:Class rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#A"/>
<owl:Class rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#B"/>
<owl:NamedIndividual rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#a">
<rdf:type rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#A"/>
</owl:NamedIndividual>
<owl:NamedIndividual rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#b">
<rdf:type rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#B"/>
</owl:NamedIndividual>
<owl:NamedIndividual rdf:about="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#user1">
<hasValue rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#a"/>
<hasValue rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#b"/>
</owl:NamedIndividual>
<owl:Restriction>
<owl:onProperty rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#hasValue"/>
<owl:someValuesFrom rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#A"/>
<owl:disjointWith>
<owl:Restriction>
<owl:onProperty rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#hasValue"/>
<owl:someValuesFrom rdf:resource="http://www.semanticweb.org/henri/ontologies/2022/6/untitled-ontology-9#B"/>
</owl:Restriction>
</owl:disjointWith>
</owl:Restriction>
</rdf:RDF>
Update after reviewing ACTUAL ontology
The main problem is that you stated the GCI you used incorrectly. What you said you used are substantially different from what you actually used.
What you said used: hasValue some A disjointWith hasValue some B
What you actually used:
hasValue some A DisjointWith hasValue some (P and (not (A)))
hasValue some B DisjointWith hasValue some (P and (not (B)))
To understand why your GCIs do not have the desired effect, I have drawn an example Venn diagram:
Note that hasValue some A DisjointWith hasValue some (P and (not (A))) states that there is no individual x that belongs to both the set hasValue some A and the set hasValue some (P and (not (A))). It does however allow for the possibility that you have an individual user1 that is related via hasValue to an individual in set A and that is related via hasValue to an individual in set B. This is because nothing prohibits the sets hasValue some A (to which user1 hasValue A belongs) and hasValue some B (to which user1 hasValue B belongs)` to overlap. To prohibit this, you have to add the following GCI:
hasValue some A DisjointWith hasValue some B
How to get a inconsistency using you GCIs
To get an inconsistency using your GCIs, you have to have an individual that actually belong to the disjoint sets you defined. I.e.,
Define individual x as follows:
:x rdf:type owl:NamedIndividual ,
[ owl:intersectionOf ( :P
[ rdf:type owl:Class ;
owl:complementOf :A
]
) ;
rdf:type owl:Class
] .
and then define user2:
:user2 rdf:type owl:NamedIndividual ;
:hasValue :A ,
:x .
You will get an inconsistency with the following explanation:

Retrieving URIs in Report of OWL2DL violations in the OWL API

I need to check the violations to the OWL2DL profile in this simplified ontology:
#prefix : <http://www.onto.com/test#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#base <http://www.onto.com/test#> .
<http://www.onto.com/test#> rdf:type owl:Ontology ;
rdfs:label "Test"#en .
xsd:date rdf:type rdfs:Datatype .
<http://www.onto.com/test#hasPart2> rdf:type owl:ObjectProperty .
<http://www.onto.com/test#isPartOf> rdf:type owl:ObjectProperty ,
owl:TransitiveProperty ;
rdfs:domain <http://www.onto.com/test#TestRestriction> .
<http://www.onto.com/test#isPartOf2> rdf:type owl:ObjectProperty ;
rdfs:subPropertyOf owl:topObjectProperty ;
rdf:type owl:TransitiveProperty ;
rdfs:domain <http://www.onto.com/test#A2PartOfClass> .
<http://www.onto.com/test#maxCardinality0> rdf:type owl:ObjectProperty .
<http://www.onto.com/test#A2PartOfClass> rdf:type owl:Class .
<http://www.onto.com/test#TestRestriction> rdf:type owl:Class ;
rdfs:subClassOf [ rdf:type owl:Restriction ;
owl:onProperty <http://www.onto.com/test#isPartOf2> ;
owl:minQualifiedCardinality "0"^^xsd:nonNegativeInteger ;
owl:onClass <http://www.onto.com/test#A2PartOfClass>
] ;
rdfs:comment "A1 PartOf Class Comment"#en ;
rdfs:label "A1PartOfClass"#en .
<http://www.onto.com/test#isPartOf2> rdf:type owl:Class .
To this end, I have the following code in the OWL API to check for the violations of the given ontology to the OWL2DL profile.
OWL2DLProfile profile = new OWL2DLProfile();
OWLProfileReport report = profile.checkOntology(ontology);
for(OWLProfileViolation v:report.getViolations()) {
System.out.println(v);
}
In the console I'm getting this:
Use of non-simple property in a restriction: ObjectMinCardinality(0 <http://www.onto.com/test#isPartOf2> <http://www.onto.com/test#A2PartOfClass>) [SubClassOf(<http://www.onto.com/test#TestRestriction> ObjectMinCardinality(0 <http://www.onto.com/test#isPartOf2> <http://www.onto.com/test#A2PartOfClass>)) in OntologyID(OntologyIRI(<http://www.onto.com/test#>) VersionIRI(<null>))]
And I would like to retrieve the URIs involved, i.e., http://www.onto.com/test#isPartOf2, http://www.onto.com/test#A2PartOfClass
as well as the message of the violation, i.e., Use of non-simple property in a restriction.
How can I achieve this?
You can get the signature of the axiom involved in the violation as follows:
violation.getAxiom()
.signature()
.forEach(System.out::println);
There is no easy way to get the type of the violation besides doing the following:
violation.getClass().getSimpleName()
which will return UseOfNonSimplePropertyInCardinalityRestriction.

OWL subclass defined in turtle

I try to add a bit of ontology to a (public) RDF dataset (wordnet), specifically I need to differentiate between LexicalEntries for Verbs and Nouns, separated as two subclasses. Following examples on the web and in the OWL standard, I assumed that
:LexicalEntryNoun a owl:Class ;
rdfs:subClassOf
[ a owl:Restriction ;
owl:onProperty wn:part_of_speech ;
owl:hasValue wn:noun
] .
should build a class LexicalEntryNoun, but the query (in jena fuseki)
prefix : <http://gerastree.at/2017/litonto#>
SELECT *
WHERE {
?s a :LexicalEntryNoun.
}
gives an empty result. The two URI which should be returned are included in the class represented by a blank node, which stands for the restriction, but are not reported as LexicalEntryNoun as reported in other queries.
i am new to OWL and do not find many examples of OWL in turtle syntax. Where is my error?
Thank you for help!
I constructed a very small subset of data which is loaded together with the OWL reasoner http://jena.hpl.hp.com/2003/OWLFBRuleReasoner:
#prefix wn31: <http://wordnet-rdf.princeton.edu/wn31> .
#prefix lemon: <http://lemon-model.net/lemon#> .
#prefix nlp: <http://gerastree.at/nlp_2015#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
#prefix lit: <http://gerastree.at/lit_2014#> .
#prefix wn: <http://wordnet-rdf.princeton.edu/ontology#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#prefix ns: <http://www.example.org/ns#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix : <http://gerastree.at/2017/litonto#> .
<http://wordnet-rdf.princeton.edu/wn31/%27s+Gravenhage-n>
a _:b0 , owl:Thing , rdfs:Resource , lemon:LexicalEntry ;
lemon:canonicalForm <http://wordnet-rdf.princeton.edu/wn31/%27s+Gravenhage-n#CanonicalForm> ;
lemon:sense <http://www.lexvo.org/page/wordnet/30/noun/%27s_gravenhage_1_15_00> , <http://wordnet-rdf.princeton.edu/wn31/%27s+Gravenhage-n#1-n> ;
wn:part_of_speech wn:noun ;
owl:sameAs <http://wordnet-rdf.princeton.edu/wn31/%27s+Gravenhage-n> .
<http://wordnet-rdf.princeton.edu/wn31/%27hood-n>
a _:b0 , owl:Thing , rdfs:Resource , lemon:LexicalEntry ;
lemon:canonicalForm <http://wordnet-rdf.princeton.edu/wn31/%27hood-n#CanonicalForm> ;
lemon:sense <http://www.lexvo.org/page/wordnet/30/noun/%27hood_1_15_00> , <http://wordnet-rdf.princeton.edu/wn31/%27hood-n#1-n> ;
wn:part_of_speech wn:noun ;
owl:sameAs <http://wordnet-rdf.princeton.edu/wn31/%27hood-n> .
:LexicalEntryNoun a owl:Class ;
rdfs:subClassOf
[ a owl:Restriction ;
owl:onProperty wn:part_of_speech ;
owl:hasValue wn:noun
] .
as already posted on the Apache Jena Users mailing list, the answer is:
Change the subclassof to an equivalence. Since both resources:
http://wordnet-rdf.princeton.edu/wn31/%27s+Gravenhage-n
http://wordnet-rdf.princeton.edu/wn31/%27hood-n
would fall inside the :LexicalEntryNoun class and show up in his SPARQL query.
Regards, Barry

Inferring knowledge in OWL by counting properties

I have an ontology with Person and City classes. People travel to cities and this travel is represented in the traveledTo object property. I'd like to add a WorldTraveler class. People are world travelers if they have traveled to 2 or more cities. How can I do this in my ontology?
#prefix : <http://www.semanticweb.org/chris/ontologies/2017/9/untitled-ontology-64#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
#prefix xml: <http://www.w3.org/XML/1998/namespace> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#base <http://www.semanticweb.org/chris/ontologies/2017/9/untitled-ontology-64> .
<http://www.semanticweb.org/chris/ontologies/2017/9/untitled-ontology-64> rdf:type owl:Ontology .
:traveledTo rdf:type owl:ObjectProperty ;
rdfs:domain :Person ;
rdfs:range :City .
:City rdf:type owl:Class .
:Person rdf:type owl:Class .
:Bob rdf:type owl:NamedIndividual ,
:Person ;
:traveledTo :London ,
:Ottawa ,
:Paris .
:Brussels rdf:type owl:NamedIndividual ,
:City .
:London rdf:type owl:NamedIndividual ,
:City .
:Ottawa rdf:type owl:NamedIndividual ,
:City .
:Paris rdf:type owl:NamedIndividual ,
:City .
:Ralph rdf:type owl:NamedIndividual ,
:Person ;
:traveledTo :Rome .
:Rome rdf:type owl:NamedIndividual ,
:City .
:Washington rdf:type owl:NamedIndividual ,
:City .
I tried adding the following Class but it didn't seem to work:
:WorldTraveler rdf:type owl:Class ;
owl:equivalentClass [ owl:intersectionOf ( :Person
[ rdf:type owl:Restriction ;
owl:onProperty :traveledTo ;
owl:minQualifiedCardinality "2"^^xsd:nonNegativeInteger ;
owl:onClass :City
]
) ;
rdf:type owl:Class
] .
I believe that my reasoner may not be able to infer that Ralph is not a WorldTraveler because of the open world assumption. However, it should be able to infer that Bob is a WorldTraveler because he has traveled to 3 cities.
Thanks for your help.
Chris
In addition to the open world assumption (OWA), there exists the unique name assumption (UNA). OWL does make the former (OWA) and does not make the latter (UNA).
You should explicitely make individuals different.
In the Turtle syntax, it should look like this:
:London owl:differentFrom :Paris .
or
[ rdf:type owl:AllDifferent ;
owl:distinctMembers ( :Brussels :London :Ottawa :Paris :Rome :Washington )
] .

Lack of type inheritance using a backward chaining reasoner?

I'm learning about reasoning and knowledge engineering and I made up the following example:
#prefix : <http://example.org#> .
#prefix owl: <http://www.w3.org/2002/07/owl#> .
#prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
#prefix xml: <http://www.w3.org/XML/1998/namespace> .
#prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
#base <http://www.w3.org/2002/07/owl> .
[ rdf:type owl:Ontology
] .
:value rdf:type owl:DatatypeProperty ;
rdfs:range xsd:string .
:humiditySensor rdf:type owl:Class ;
rdfs:subClassOf :sensor .
:location rdf:type owl:Class .
:room rdf:type owl:Class ;
rdfs:subClassOf :location .
:sensor rdf:type owl:Class.
:temperatureSensor rdf:type owl:Class ;
rdfs:subClassOf :sensor .
:temp1 rdf:type owl:NamedIndividual ,
:temperatureSensor ;
:room 201 ;
:value 29 .
I'm trying to infer that temp1 is of type sensor. When I pose the following query to Eye reasoner (backward chaining) I get nothing, i.e. the fact that temp1 is of type sensor is not inferred, even though subClassOf is transitive:
#prefix : <http://example.org#>.
#prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#>.
{
?x a :sensor.
?x :value ?y.
}
=>
{
?x :value ?y.
}.
If I write a couple of rules manually to express this transitivity property of subClassOf, it will work. However, CWM reasoner (forward chaining) in the proof states correctly that temp1 is of type sensor, without the additional rules.
Is this because of the difference between forward and backward chaining?
I hope I'm making sense.

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