#### Test 1, Quizzes 1-3, Homework Assignments 1-3

Homework 1 due midnight 01/22/14

Textbook problems
(both 3^{rd} and 2^{nd} editions): 1.32, 1.36, 1.37, 1.41, 1.45
(extra credit)

Quiz 1, available at noon 01/16/14, covers 1.1-1.3,
due midnight 01/19/14

Practice problems
(both 3^{rd} and 2^{nd} editions): 1.1-1.3, 1.4 a-d, 1.5 a-d,
1.6, 1.7 a-d, 1.8-1.12, 1.14, 1.16-1.21

Homework 2 due midnight 01/29/14

Textbook problems
(both 3^{rd} and 2^{nd} editions): 1.46 c, 1.55 e,g, 2.20,
2.26, 2.28 a (extra credit)

Quiz 2, available at noon 01/23/14, covers 1.4,
2.1-2.2, due midnight 01/26/14, solutions of
Quiz 2 problems

Practice problems
(both 3^{rd} and 2^{nd} editions): 1.23, 1.28-1.30, 2.1,
2.3-2.7, 2.9-2.10, 2.13-2.14, 2.16-2.17

Homework 3 due midnight 02/12/14

Textbook problems
(both 3^{rd} and 2^{nd} editions): 2.31, 2.36

Textbook problems (only 3^{rd} edition): 2.53 a,b, 2.56, 2.58 (extra
credit)

Quiz 3, available at noon 01/30/14, covers 2.3-2.4,
3.1-3.3 (without NTMs), due midnight 02/09/14

Practice problems
(both 3^{rd} and 2^{nd} editions): 2.2, 2.30, 2.32, 3.1-3.2,
3.5, 3.7-3.8, 3.11

Practice problems (only 3^{rd} edition): 2.51-2.52

**Test 1, available from noon
02/06/14, covers 1.1-1.4, 2.1-2.4, 3.1-3.3 (without NTMs), due midnight
02/09/14**

Practice problems (both 3^{rd} and 2^{nd} editions): 1.38,
1.40, 1.42, 1.46 a,d, 1.55 c,h, 1.60-1.61, 2.28 b, 2.34-2.35, 2.44, 3.1-3.2,
3.5, 3.7-3.8, 3.11

Theorems for Test 1 (you need to be familiar with all
theorems listed below and with their proofs):

1. Equivalence of NFAs and DFAs, Theorem 1.39

2. Equivalence of FAs and regular expressions, Theorem 1.54

3. The pumping lemma for regular languages, Theorem 1.70

4. Chomsky normal form of context-free grammars, Theorem 2.9

5. The pumping lemma for context-free languages, Theorem 2.34

6. Equivalence of multi-tape and single-tape TMs, Theorem 3.13