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A basic Description Logic - ALC

  • Smallest propositionally closed DL is ALC
    • Only atomic roles
    • Concept constructors: ⊔ , ⊓, ¬
    • Restricted use of quantifiers: ∃, ∀

  • “Propositionally closed” Logic in general:
    • Provides (implicitly or explicitly) conjunction, union and negation of class descriptions

  • Example:
    • Person ⊓ ∀hasChild.(Doctor ⊔ ∃hasChild.Doctor)

Speaker notes:

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