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hw1-Sols - Homework 1 Solutions University of Pittsburgh...

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Homework 1 Solutions University of Pittsburgh – Computer Science Department CS441 – Discrete Structures for Computer Science Instructor: Milos Hauskrecht Problems from Chapter 1.1. Problem 2 a) Not a proposition b) Not a proposition c) False proposition d) Not a proposition e) False proposition f) True Proposition Problem 8 a) p ¬ -- I did not buy a lottery ticket this week. b) q p -- Either I bought a lottery ticket this week or I won the million dollar jackpot on Friday. c) q p -- If I bought a lottery ticket this week, then I won the million dollar jackpot on Friday. d) q p -- I bought a lottery ticket this week and I won the million dollar jackpot on Friday. e) q p -- I bought a lottery ticket this week if and only if I won the million dollar jackpot on Friday. f) q p ¬ ¬ -- If I did not buy a lottery ticket this week, then I did not win the million dollar jackpot on Friday. g) q p ¬ ¬ -- I did not buy a lottery ticket this week, and I did not win the million dollar jackpot on Friday. h) ) ( q p p ¬ -- Either I did not buy a lottery ticket this week, or else I bought a lottery ticket this week and I won the million dollar jackpot on Friday. Problem 10 a) The election is not decided.
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