# 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