Part II: OWL - Foundations of Semantic Web Technologies

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Proof theory Via Tableaux Adaptation of FOL tableaux algorithms. Problem: OWL is decidable, but FOL tableaux algorithms do not guarantee termination. Solution: blocking. 50
DL Tableaux Termination Problem TBox: ∃R.> ABox: >(a 1 ) Is satisfiable: Model M contains elements a 1M ,a 2M ,... and R M (a iM ,a i+1M ) for all i ≥ 1. But naive tableau does not terminate! R R R a 1 x y > ∃R.> > ∃R.> > ∃R.> 51
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 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: Proof Theory Traditionally using ta
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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