39 Review session problems

39 Review session problems - Handout #39 May 3, 2010 CS103...

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Handout #39 CS103 May 3, 2010 Robert Plummer CS103 Review Session Problems Here are the problems from the review sessions over the weekend. Solutions are in the next handout. That is Handout #40. Note that on the handout, the heading is incorrect, but the solutions are to the right problems. 1. Logic Proof (20 points) Give a proof for the following. Use numbered steps and refer to those numbers in the justification you give for each step. You are allowed to use De Morgan's laws freely, both the quantified and unquantified versions , but cite them as justification if you do. You will find useful tables at the end of the exam. Cite named rules, or just the table and line number if the rule is not named (e.g., Table 7, line 3). 1. ¬ x (R(x) S(x)) 2. y (S(y) M(y) L(y)) x (R(x) (L(x) M(x)))
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2 2. Translations (20 points) Translate each of the following sentences into first-order logic. You may use only the following predicates: I(x) x is an integer R(x) x is rational x > y x is greater than y x = y x equals y
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39 Review session problems - Handout #39 May 3, 2010 CS103...

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