CMPSCI 501: Theory of Computation

David Mix Barrington

Spring, 2015

Homework Assignment #6

Posted Friday 17 April 2015

Due on paper in class or to the CMPSCI main office, 4>30 p.m., Thursday 30 April 2015

There are twelve questions for 100 total points plus 10 extra credit. All are from the textbook, Introduction to the Theory of Computation by Michael Sipser (second/third edition), though some are adapted as indicated. 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.

Correction in green announced 21 April 2015, actually made 27 April 2015.

• Exercise 8.3 (5):

• Exercise 8.6 (5):

• Problem 8.10 (10):

• Problem 8.11 (10):

• Problem 8.16 (10):

• Problem 8.21 (10):

• Problem 8.23 (10XC):

• Problem 8.25 (10):

• Problem 8.27 (10): (Hint: Use the result of Theorem 8.27.)

• Problem 8.30 (10):

• Problem 9.24 (2nd)/9.23 (3rd) (10): What is the depth of your circuits?

• PRobldm 10.8 (10):

Last modified 27 April 2015