mt1-practice

mt1-practice - CMPSC 360 Discrete Mathematics for Computer...

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CMPSC 360 Discrete Mathematics for Computer Science Fall 2009 Penn State University Midterm #1 Practice Questions Reminder: The date of the first midterm has been changed. It is Monday, October 5, 6:30-7:45 in 119 Osmond. 1. Put each of the following formulae into Conjuctive and Disjunctive Normal Forms. (a) ¬ ( a b ) ∨ ¬ ( c d ) (b) ¬ ( a b ) ∧ ¬ ( c d ) 2. Construct a valid argument for the following. Given (1) if I like bacon and don’t like ham then I like sausage. (2) if I like sausage then I like scrapple. (3) I don’t like scrapple but I like bacon. (4) if I like ham then I like eggs. Prove I like eggs. 3. Rewrite each of the following statements using quantifiers and appropriate predicates. Assume the domain for variables is A (Animals). (a) Some birds don’t fly. (b) Any animal that flies has wings. (c) Not every animal that flies is a bird.
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