Part II: OWL - Foundations of Semantic Web Technologies

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Class constructors existential quantification only to be used with a role – also called a property restriction Parent ≡ ∃hasChild.Person :Parent owl:equivalentClass _:x . _:x rdf:type owl:Restriction . _:x owl:onProperty :hasChild . _:x owl:someValuesFrom :Person . universal quantification only to be used with a role – also called a property restriction Person u Happy ≡ ∀hasChild.Happy _:x rdf:type owl:Class . _:x owl:intersectionOf ( :Person :Happy ) . _:x owl:equivalentClass _:y . _:y rdf:type owl:Restriction . _:y owl:onProperty :hasChild . _:y owl:allValuesFrom :Happy . Class constructors can be nested arbitrarily ∀x (Parent(x) ↔ ∃y (hasChild(x,y) ∧ Person(y))) ∀x (Person(x) ∧ Happy(x) ↔ ∀y (hasChild(x,y) → Happy(y))) 14
Contents OWL – Basic Ideas OWL As the Description Logic SROIQ(D) Different Perspectives on OWL Expressivity Examples: Rules in OWL OWL Semantics OWL Profiles Proof Theory Tools Outlook References 15
Page 1 and 2: Semantic Web Modelling Languages (P
Page 3 and 4: OWL - Overview Web Ontology Languag
Page 5 and 6: References - Textbooks Pascal Hitzl
Page 7 and 8: Contents OWL - Basic Ideas OWL As t
Page 9 and 10: OWL Building Blocks individuals (wr
Page 11 and 12: DL syntax RDFS syntax Person(mary)
Page 13: Class constructors conjunction Moth
Page 17 and 18: Understanding SROIQ(D) ALC + role c
Page 19 and 20: Understanding SROIQ(D) I - inverse
Page 21 and 22: Understanding SROIQ(D) (D) - dataty
Page 23 and 24: Understanding SROIQ(D) further expr
Page 25 and 26: Some Syntactic Sugar in OWL This ap
Page 27 and 28: OWL - Extralogical Features OWL ont
Page 29 and 30: The RDFS perspective RDFS semantics
Page 31 and 32: Contents OWL - Basic Ideas OWL As t
Page 33 and 34: Expressivity Examples: Rules in OWL
Page 35 and 36: OWL Semantics There are two semanti
Page 37 and 38: OWL Direct Semantics: Restrictions
Page 39 and 40: OWL Direct Semantics model-theoreti
Page 41 and 42: OWL Direct Semantics via FOL but of
Page 43 and 44: OWL Profiles OWL Full - using the R
Page 45 and 46: OWL 2 RL motivated by the question:
Page 47 and 48: OWL 2 QL motivated by the question:
Page 49 and 50: Proof Theory Traditionally using ta
Page 51 and 52: DL Tableaux Termination Problem TBo
Page 53 and 54: Blocking (in ALC) y is blocked (by
Page 55 and 56: ALC Tableau Example TBox: ¬C t ∀
Page 57 and 58: OWL tools (incomplete listing) Reas
Page 59 and 60: Some Current Research Questions Int
Page 61 and 62: Suggestions for OWL? Annual Worksho
Page 63 and 64: Main References W3C OWL Working Gro
Page 65 and 66:
Further References DL complexity ca
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Part II: OWL - Foundations of Semantic Web Technologies

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