Question: Consider the following diagram and answer questions using First Order Logic [2 points each, total 10 points] crown on head brother person brother left leg

Consider the following diagram and answer questions using First Order Logic

Consider the following diagram and answer questions using First Order Logic [2 points each, total 10 points] crown on head brother person brother left leg eft leg 21. An example of an IFF (if an only if) relation valid here is a) HasCrown(x)- King(x) b) King( x)HasCrown(x)c) King(x) HasCrown(x) d) None 22. Which of the following could be true while interpreting the mini-world here including facial emotions a) HasMoney(x)-> King(x)b) HasMoney(x) - Sad(x)c) King(x) ^>Sad(x) d) All 23. Using a universal quantifier, the sentence "All brothers are siblings" can be expressed as a) Vx,y Brother(x.y) > Sibling(x,y) b) Vx,y Sibling(x.y) Brother(x,y) c) Both d) Neither 24. With an existential quantifier, the expression 3x Brother (x,King) * Happy (x) is best interpreted as a) At least one king is happy b) At least one brother is happy c) At least one brother of a king is happy d) b & c 25. The expression V x King(x)-> Person(x) has the same interpretation as Vx ?King(x) ? Person(x) b) False c) Maybe True or False d) Depends on the data rue

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