CSC midterm

CSC midterm - Jason Krontz 3-9-09 CSC 226 MIDTERM 1.) p T T...

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Jason Krontz 3-9-09 CSC 226 MIDTERM 1.) a.) p (q v r) (p q) v (p r) T T T T T T T T T T T T T T T T F F T T T T T T T F T T F F T T T T F T T T T T T F F F T T T F T T T F F T T T T T F T T T F T T F F T F F T F T T F F F F F F F F T T F F F F F T T b.) (q r) v p (q v p) (r v p) T T T T T T T T T T T T T T T F T T T T T T T F F T F T T T T T F F T T T T T F F F F T T F F T F F F T T T T F F T T F F F T F F T T F F F T T F F F F F F F T T F F T F F F F T F F F F F F F T F F F F F F F 2.) T(x): x is a train. C(x): x is a car. F(x,y): x is faster than y. D(x,y): x is driven by y. J: Jeff Gordan a.) F( 2200 xT(x), 2200 yC(y)) b.) F( 5 xT(x), 5 yC(y)) c.) F(D( 5 xC(x),J), 2200 yT(y)) 3.) If it is a woman, than she has a father and she loves him.
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4.) 1. a (b c) Premise 2. b c Premise Conclusion: a 3. c a Premise 4. ¬ a 1, assumption (proof by contradiction) 5. (b c) 1,4, disjunctive syllogism 6. ¬ c 3,4, Modus Tollens 7. ¬ c ¬ b 5, contrapositive 8. ¬ b 6,7, Modus Ponens 9. a 2,6,8, proof my contradiction 5.) a: Ang loves the emperor. b: Bao loves the emperor. c: Chang loves the emperor. d: Di loves the emperor. e: Eng loves the emperor.
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CSC midterm - Jason Krontz 3-9-09 CSC 226 MIDTERM 1.) p T T...

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