Part II: OWL - Foundations of Semantic Web Technologies

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Expressivity Examples: Rules in OWL Man(x) ∧ hasBrother(x,y) ∧ hasChild(y,z) → Uncle(x) Man u ∃hasBrother.∃hasChild.> vUncle kills(x,x) → suicide(x) ∃kills.Self v suicide suicide(x) → kills(x,x) suicide v ∃kills.Self Note: with these two axioms, suicide is basically the same as kills NutAllergic(x) ∧ NutProduct(y) → dislikes(x,y) NutAllergic ≡ ∃nutAllergic.Self NutProduct ≡ ∃nutProduct.Self nutAllergic o U o nutProduct v dislikes 32
Expressivity Examples: Rules in OWL dislikes(x,z) ∧ Dish(y) ∧ contains(y,z) → dislikes(x,y) Dish ≡ ∃dish.Self dislikes o contains – o dish v dislikes worksAt(x,y) ∧ University(y) ∧ supervises(x,z) ∧ PhDStudent(z) → professorOf(x,z) ∃worksAt.University ≡ ∃worksAtUniversity.Self PhDStudent ≡ ∃phDStudent.Self worksAtUniversity o supervises o phDStudent v professorOf Basic requirement for expressibility of rules in OWL 2: tree-shapedness of rule bodies For more on this, see [Description Logic Rules] and [ELP]. 33
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 and 14: Class constructors conjunction Moth
Page 15 and 16: Contents OWL - Basic Ideas OWL As t
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: Contents OWL - Basic Ideas OWL As t
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

Part II: OWL - Foundations of Semantic Web Technologies

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