CMPSCI 401: Theory of Computation

David Mix Barrington

Spring, 2010

Homework Assignment #2

Posted Thursday 4 February 2010

Due on paper in class, Friday 19 February 2010

There are fifteen questions for 100 total points plus 10 extra credit. 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.

Corrections (6 February 2010): Duplicate problem removed, parts of 2.5 and 2.6 fixed.

• Exercise 1.29, part b only (5) You may use either the Pumping Lemma or my method.

• Exercise 1.30 (5)

• Problem 1.39 (5)

• Problem 1.46, part a only (5)

• Problem 1.56 (10)

• Problem 1.61 (10) Hint: This is straightforward using Myhill-Nerode.

• Exercise 2.4 parts b, c, e and f only (5)

• Exercise 2.5 parts b, c, e, and f only (10)

• Exercise 2.6 parts b and d (not c) only (10)

• Exercise 2.11 (10)

• Exercise 2.15 (5)

• Problem 2.19 (10)

• Problem 2.25 (5)

• Problem 2.30, part a only (5)

• Problem 2.33 (10 extra credit)

• Problem 1.43, which was on HW#1, was listed here by mistake -- don't do it again!

Last modified 6 February 2010