CMPSCI 401: Theory of Computation

David Mix Barrington

Spring, 2008

Homework Assignment #3

Posted Friday 29 February 2008

Due on paper in class, Friday 14 March 2008

There are fifteen questions for 100 total points plus 10 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 3.1 part c only (5)

• Exercise 3.2 part d only (5)

• Exercise 3.6 (5)

• Exercise 3.7 (5)

• Exercise 3.8 parts b and c only (10)

• Problem 3.9 (10)

• Problem 3.16 part c only (5)

• Problem 3.15 parts b and c only (10)

• Problem 3.18 (10)
• Problem 3.19 (10) (Hint: Use the result of Problem 3.18.)

• Exercise 4.3 (5)

• Exercise 4.4 (5) (Hint: Don't reinvent the wheel.)

• Exercise 4.7 (10)

• Problem 4.12 (5)

• Problem 4.14 (10 XC)

Last modified 24 March 2008