l3soln - CS 245 Winter 2009 Solution Set for Lecture 3...

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CS 245 Winter 2009 Solution Set for Lecture 3 Nissanke Ch. 3 Exercise 3.3 (p. 30) 1. p q ¬ p q T T T T F F F T T F F T 2. p q ¬ ( p q ) T T F T F T F T T F F T 3. p q ¬ p ∨¬ q T T F T F T F T T F F T 4. p q r q r p ( q r ) T T T T T T T F F F T F T F F T F F F F F T T T T F T F F T F F T F T F F F F T 5. In text. 1
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Exercise 3.4 (p. 30) In text. Exercise 3.6 (p. 32-33) 1 . p p tautology 2 . p ∧¬ p contradiction 3 . p ( q p ) contingent 4 . p ∧¬ ( q p ) contradiction 5 . p ( q p ) tautology 6 . p q ⇔ ¬ p q tautology 7 . p q ∧¬ q contradiction 8 . p q ∧¬ q contingent 9 . p q ∨¬ q tautology 10 . p ( ¬ q q ) contingent Truth tables to illustrate most of the above answers are given below. The proposition Qn corresponds to the proposition in question n (e.g., Q 2 = p ∧ ¬ p ). The truth tables for questions 7, 8, and 9 are left for the reader (and are quite easy). p
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l3soln - CS 245 Winter 2009 Solution Set for Lecture 3...

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