Question: Problem 10.2 (ALC Semantics) Consider the ALC concepts R.(C D) and (R.C) (R.D). 1. By applying the semantics of ALC, show that the two are

Problem 10.2 (ALC Semantics)

Consider the ALC concepts R.(C D) and (R.C) (R.D).

1. By applying the semantics of ALC, show that the two are equivalent.

2. Translate both formulas to rst-order logic and state which FOL formula we would need to prove (e.g., with the ND calculus) to show that the two are equivalent.

Problem 10.2 (ALC Semantics) Consider the ALC concepts R.(C D) and

Problem 10.2 (ALC Semantics) Consider the ALC concepts VR.( CD) and (VRC) n(VR.D). 1. By applying the semantics of ALC, show that the two are equivalent. 2. Translate both formulas to first-order logic and state which FOL formula we would need to prove (e.g., with the ND calculus) to show that the two are equivalent. Problem 10.2 (ALC Semantics) Consider the ALC concepts VR.( CD) and (VRC) n(VR.D). 1. By applying the semantics of ALC, show that the two are equivalent. 2. Translate both formulas to first-order logic and state which FOL formula we would need to prove (e.g., with the ND calculus) to show that the two are equivalent

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