Part II: OWL - Foundations of Semantic Web Technologies

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OWL Direct Semantics: Restrictions combining property chain axioms and cardinality constraints may lead to undecidability restriction: use only simple properties in cardinality expressions (i.e. those which cannot be – directly or indirectly – inferred from property chains) technically: for any property chain axiom S 1 oS 2 o ... oS n v R with n>1, R is nonsimple for any subproperty axiom S v R with S non-simple, R is non-simple all other properties are simple Example: Q o P v R R o P v R R v S P v R Q v S non-simple: R, S simple: P, Q 38
OWL Direct Semantics model-theoretic semantics starts with interpretations an interpretation maps individual names, class names and property names... .I I I I C I R Δ ...into a domain a I C I R I 39
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: OWL Direct Semantics: Restrictions
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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