# CMPSCI 401: Theory of Computation

### David Mix Barrington

### Spring, 2013

# Homework Assignment #3

#### Posted Thursday 21 February 2013

#### Due on paper in class, Wednesday 6 March 2013

There are fourteen 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).
The number in parentheses following each problem
is its individual point value.

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

- Problem 2.32 (10)
- Problem 2.45 (10)
- Exercise 3.2 part e only (5)
- Exercise 3.6 (5)
- Exercise 3.8 part c only (5)
- Problem 3.14 (10)
- Problem 3.15 part c only (10) (Hint: Use Corollary 3.19.)
- Problem 3.19 (10) (Hint: Use enumerators -- you may use the result
of Problem 3.18 without proof.)
- Exercise 4.2 (5)
- Exercise 4.4 (5)
- Exercise 4.8 (5)
- Problem 4.12 (10)
- Problem 4.19 (10)
- Problem 4.24 (10XC)

Last modified 21 February 2013