# Questions With No Answer Booklet!

1. Oct 16, 2011

### Monster92

So i've been given some questions and have answered them. However, there's no answer booklet so I don't know if I am understanding this correctly.

As far as I know they're correct. But I need a human to tell me :P

1. {(01)^2n | n > 0} {

0101, 01010101, 010101010101, 0101010101010101, 01010101010101010101

2. {0^n1^m | n >=0, m >=0} =

{ lambda,0,1,00,01,11, 000,001,011,111.....}

3.

A = { Lambda, Tom, Jerry, and}
B = {is, are}
C = {Lambda, not}
D = {Lambda, very}
E = {happy, upset}

is A = {Lambda, a}
B = {a, b}
C = {Lambda, b}

What is A^2 U B^2 U C^2

A.A = {Lambda, a}.{lambda,a} = {Lambda, a, aa}

B.B = {a,b}.{,a,b} ={aa, ab, ba, bb}

C.C = {Lambda, b}. {Lambda, b} = {Lambda, b, bb}

Answer = {Lambda, a, b, aa, ab, ba, bb}

What is B ∩ A^2 ∩ C^2

B = {a, b}

A.A = {Lambda, a, aa}

C.C = {Lambda, b, bb}

Answer = {} (empty set)

Difference

Question 1
A^2 \ B

A^2 = A.A = {Lambda, a, aa}

B = {a, b}

Answer = {Lambda, aa}

Question 2
B / A^2

A^2 = A.A = {Lambda, a, aa}

B = {a, b}

Answer = {b}

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