s09_a2

# s09_a2 - UNIVERSITY OF WATERLOO School of Computer Science...

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UNIVERSITY OF WATERLOO School of Computer Science CS245 Logic and Computation Spring 2009 ASSIGNMENT 2 (Due: Thursday, June 4, 2009 at 5:00pm) Use makeCover to produce a cover page for your assignment and hand in your assignment in the CS245 assignment box. Assignments are to be done individually. 1. (4 marks) Use transformational proof to show the following: (a) p ( q r ) WV p q r (b) false false false WV false 2. (2 marks) Convert the following formula to disjunctive normal form using transformational proof. Then convert the formula in disjunctive normal form to conjunctive normal form. ( a b ) ( b c )

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3. Code Analysis IF a AND b THEN IF NOT c OR d THEN IF e AND f THEN P1 ELSE IF NOT e and NOT b THEN P2 ELSE P3 ELSE P4 where P1, P2, P3, and P4 are blocks of code. (a) (4 marks) Under what input conditions, expressed in propositional logic, are each of the blocks of code P1, P2, P3, and P4 executed? Do not simplify. (b) (5 marks) Is there any dead code (unreachable code) in the code fragment?
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s09_a2 - UNIVERSITY OF WATERLOO School of Computer Science...

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