CMPSCI 401: Theory of Computation

David Mix Barrington

Spring, 2010

Homework Assignment #6

Posted Wednesday 21 April 2010

Due on paper to CMPSCI main office by 4:00 p.m., Tuesday 4 May 2010

There are fourteen questions for 100 points plus 30 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.

• Exercise 8.3 (5)

• Problem 8.8 (10)

• Problem 8.9 (10) (Hint: Navigate on a large graph without writing the whole graph down.)

• Problem 8.13 (15)

• Problem 8.18 (10) (Hint: It may help to look at the easier 8.17 first.)

• Problem 8.22 (10)

• Problem 8.29 (10)

• Problem 8.32 (10XC)

• Exercise 9.5 (5)

• Exercise 9.10 (5) (Quote the results you need from Section 9.1 though we won't do them in class.)

• Problem 9.24 (10)

• Problem 9.25 part a (10) (note that this follows from 9.25b or 9.26)

• Problem 9.25 part b (10XC) (note that this follows from 9.26)

• Problem 9.26 (10XC)

Last modified 21 April 2010