{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# hmk6 - are 2 occurences of ab and 2 occurences of ba 3 Let...

This preview shows page 1. Sign up to view the full content.

COT 3100 Homework # 6 Fall 2000 Assigned: 11/21/00 Due: 11/30/00 1) Give regular expressions for each of the following languages: (Note: each language is over the alphabet L = {a,b} a) The language of all strings containing the substring ab. b) The language of all strings of length 3. c) The language of all strings with exactly 3 b’s. d) The set of all strings where every a is followed by 3 or more b’s. 2) Create a DFA to recognize the following languages over the alphabet L = {a,b}. a) The language of all strings of odd length. b) The language of all strings that contain exactly 2n a’s where n is an integer. c) The language of all strings that have the same number of substrings ab as substring ba. (So, for example, abaaabbba would be in this language since there
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: are 2 occurences of ab and 2 occurences of ba.) 3) Let T, W, and X be sets of strings over the alphabet L = {a,b}. Prove or disprove the following statement: if (T ∪ W)* = (T ∪ X)* then W = X. 4) Let T and W be sets of strings over the alphabet L = {a,b}. Prove or disprove the following statement: if T ⊆ W, then (TW)* ⊂ W*. Is it necessarily true that W* ⊂ (TW)*? Prove your answer. 5) Let T, W, and X be sets of strings over the alphabet L = {1,b}. Prove the following statement: ((TW)* ∪ (TX)*) ⊂ (T(W ∪ X))*. Is (T(W ∪ X))* ⊂ ((TW)* ∪ (TX)*)? Why or why not?...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern