CMPSCI 401: Theory of Computation

David Mix Barrington

Spring, 2010

Homework Assignment #1

Posted Friday 22 January 2010

Due on paper in class, Friday 5 February 2010

There are eleven questions for 100 total points. All are 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 0.7 (5)

• Problem 0.10 (5)

• Exercise 1.4 parts e and f only (10)

• Exercise 1.7 parts b and c only (10)

• Exercise 1.13 (10)

• Exercise 1.22 (10)

• Problem 1.31 (10) Give two arguments, one using only regular expressions and one using only DFA's or NFA's. For the latter, you may wish to quote the result of Exercise 1.11, which you may do without proof since the answer is in the text.

• Problem 1.36 (5)

• Problem 1.37 (15)

• Problem 1.40 (10)

• Problem 1.43 (10)

Last modified 22 January 2010