hw_01 - Problem Set 1 Fall 09 Due Thursday Sep 17 at 11:00...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem Set 1 Fall 09 Due: Thursday Sep 17 at 11:00 AM in class (i.e., Room 103 Talbot Lab) Please follow the homework format guidelines posted on the class web page: http://www.cs.uiuc.edu/class/fa09/cs373/ 1. DFA/NFA construction. [ Category : Design, Points : 25] (a) For each of the following sets A , construct a DFA or NFA (as indicated) such that its language is A . i. DFA for A = { x ∈ Σ * | for all substring w of x with | w | = 4 , w has at least two 0's } , in which Σ = { , 1 } . ii. NFA for A = { x ∈ Σ * | x contains ab , bc or ca as a substring } , in which Σ = { a,b,c } . iii. DFA for A = { x ∈ Σ * | 111 happens exactly once as a substring in x } , in which Σ = { , 1 } . Note that 1111 / ∈ A . (b) Describe the language accepted by the DFA shown in the gure. q q 2 q 1 q 3 q 5 q 4 1 1 1 1 1 1 2. Set theory. [ Category : Proof, Points : 15] For any two languages A and B prove that ( A * B * ) * = ( A ∪ B ) * ....
View Full Document

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern