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

Homework 1 due in class on 01/29/14

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

Quiz 1, 01/15/14, covers 1.1-1.3

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 in class on 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)

Take-home Quiz 2 due in class on 01/29/14,
covers 1.4, 2.1-2.2, Solutions of Take-home 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 in class on 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)

Take-home Quiz 3 due in class on 02/05/14,
covers 2.3-2.4, 3.1-3.3 (without NTMs)

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, 02/05/14, covers
1.1-1.4, 2.1-2.4, 3.1-3.3 (without NTMs)**

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