CMPSCI 250: Introduction to Computation

David Mix Barrington

Fall, 2004

Homework Assignment #3

Posted Tuesday 5 October 2004

Due on paper in class, Wednesday 13 October 2004

There are thirteen ordinary questions for 100 total points plus one extra credit question for 10 points. All are from the textbook, A Mathematical Foundation for Computer Science - Chapter 3 is in the blue volume and Chapter 4 in the green volume. "Problem 1.1.2", for example, refers to Problem #2 in Section 1.1, and similarly. Make sure you don't do an Exercise when a Problem is assigned!

Students are responsible for understanding and following the academic honesty policies indicated on this page.

• Page 2-37: Problem 2.9.3 (10)

• Page 2-43: Problem 2.10.4 (10)

• Page 2-49: Problem 2.11.2 (10)

• Page 3-7: Problem 3.1.1 (5) (Note: I'm not looking for a computer search or a reference to a table of primes, because I'm not looking for the first such sequence. I'm looking for 100 numbers in a row that it's easy to prove to be all composite.)

• Page 3-16 and 3-17: Problems 3.3.1 (5) and 3.3.4 (10 extra credit)

• Page 3-20: Problem 3.4.2 (5) (Hint: This is very similar to 3.4.1, which was part of Discussion #4 and thus has a solution posted, or will have after 6 October.)

• Pages 3-26 and 3-27: Problems 3.5.2 (10) and 3.5.5 (10)

• Pages 3-31 and 3-32: Problems 3.6.2 (5) and 3.6.4 (5)

• Page 4-8: Problems 4.1.3 (5) and 4.1.5 (10). (Note: There is a typo in 4.1.5 -- the quotes that begin on the second line should end after the right paren on the third line.)

• Page 4-17: Problem 4.3.2 (10)

Last modified 5 October 2004