Part II: OWL - Foundations of Semantic Web Technologies

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OWL 2 EL allowed: subclass axioms with intersection, existential quantification, top, bottom closed classs must have only one member property chain axioms, range restrictions (under certain conditions) disallowed: negation, disjunction, arbitrary universal quantification, role inverses u∃>⊥ v u∃>⊥ Examples: ∃has.Sorrow v ∃has.Liqueur; > v ∃hasParent.Person ∃married.> u CatholicPriest v ⊥; German v ∃knows.{angela}; hasParent ± hasParent v hasGrandparent 44
OWL 2 RL motivated by the question: what fraction of OWL 2 DL can be expressed naively by rules (with equality)? examples: ∃parentOf.∃parentOf.> v Grandfather rule version: parentOf(x,y) ∧ parentOf(y,z) → Grandfather(x) Orphan v ∀hasParent.Dead rule version: Orphan(x) ∧ hasParent(x,y) → Dead(y) Monogamous v ≤1married.Alive rule version: Monogamous(x) ∧ married(x,y) ∧ Alive(y) ∧ married(x,z) ∧ Alive(z)→ y=z childOf ± childOf v grandchildOf rule version: childOf(x,y) ∧ childOf(y,z) → grandchildOf(x,z) Disj(childOf,parentOf) rule version: childOf(x,y) ∧ parentOf(x,y) → 45
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 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 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: OWL Profiles OWL Full - using the R
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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