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