CMPSCI 401: Theory of Computation

David Mix Barrington

Spring, 2008

Homework Assignment #2

Posted Monday 18 February 2008

Due on paper in class, Monday 3 March 2008

There are fifteen questions for 100 total points plus 20 extra credit. All are from the textbook, Introduction to the Theory of Computation by Michael Sipser (second edition). Numbers in parentheses following each problem are its individual point value.

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

• Exercise 1.29 part b only (10) -- five points for using the MN theorem, five points for using the Pumping Lemma

• Problem 1.39 (5)

• Problem 1.42 (10)

• Problem 1.46 part c only (c)

• Problem 1.61 (5)
• Problem 1.63 (10XC) Hint: First solve the problem for unary languages, where Σ = {a}.

• Exercise 2.4 parts b, c, e, and f (10)

• Exercise 2.5 parts b, c, e, and f (10)

• Exercise 2.11 (10)

• Exercise 2.16 (10)

• Problem 2.22 (10)

• Problem 2.30 parts a and d (10)

• Problem 2.31 (5) Hint: Use the result of Problem 2.18

• Problem 2.32 (5) Hint: Use the result of Problem 2.18

• Problem 2.38 (10XC)

Last modified 18 February 2008