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Trust False bites a child of its owner"? (there could be 1.2 or more correct sentences) Note: No Questions and NO PDAs (calculators, handheld devices, cell phones, etc.) are allowed Question 1: (15 points) have in mind that ( means or and & means and) 1. You can fool all of the people some of the time. --> x 3 (person(x) a time(t) -> can-fool(x,t)) (T/F) 2- All gradute students watch the same TV shows -> vxy As Graduate(x) A Watches(x,s) -> Watches(y,s) (T/F) 3. x, y xay is satisfiable. (T/F) 4. Ali has at least two children -TO LOGIC-> 3x ay parent(Ali, x) A parent(Ali, y) (TIF) 5- There is a bunny who is cute, -TO LOGIC-> 3x Bunny(x) A Cute(x) (T/F) 6- Someone at Al Hussein is smart-TO LOGIC->ax Atlx, Al Hussien) Smart(x) (T/F) 7. x wy Loves(x, y) -FROM LOGIC > There is at least one person who loves everyone (TIF). 8- (AA(BVC)) Equivelant to ((A1B) V(AV-C) (T/F) 9. (A) Equivelant to A. (T/F) 10-An agent that senses only partial information about the state cannot be perfectly rational. (T/F) 11-Using fitness function, the global maximum in 8-queen problem is 28. (T/F) 12-There exists a task environment in which every agent is rational (T/F) 13-There exist task environments in which no pure reflex agent can behave rationally. (T/F) 14-For any propositional sentences a, B. V a F (Bay) then a = B and a ry. (T/F) 15-Greedy search (sort queue by h(n )) is both complete and optimal when the heuristic is admissible and the path cost never decreases. (T/F) Question 2 (6 pts.) a) (2 pts) Which of the following are semantically and syntactically correct translations of "No dog var 1 x Dog(x)) Bites(x,Child(Owner(x))) 3 x y Dog(x) A Childly, Owner(x)) A Bites/xy II. vx Dog(x) > (wy Childty. Owner(x))) Bites(x, y)) iv. - 3 x Dog(x) > (@y Childly owner(x)) A Bites(x, y))