Change: Quantifiers on Roles

created on March 9, 2013, 8:39 p.m. by Hevok & updated on March 9, 2013, 8:39 p.m. by Hevok

One distinguishes between a Strict Binding which is expressed with universal Quantification and the Open Binding which is expressed with an Existential Quantification.

The Strict Binding Binds the Range of Role to a specific Class. On the other hand one has the open Binding also to the Range of a Role to a Class.

• Strict Binding of the Range of a Role to a Class
• Examination ⊑ ∀hasSupervisor.Professor
• An Examination must be supervised by a Professor
• (∀x)(Examination(x) → ∀hasSupervisor(x,y) → Professor(y)))
• Open Binding of the Range of a Role to a Class
• Examination ⊑ ∃hasSupervisor.Person
• Every Examination has at least one supervisor (who is a person)
• ``(∀x)(Examination(x) → (∃y)(hasSupervisor(x,y) Λ Person(y)))

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