# 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