**Don't relay on my solution. Make changes before upload. I will not be responsible for your marks.**

Objective of this assignment is to assess the understanding of students about
the concept of Regular languages, Complement of a language, Myhill Nerode theorem, Quotient of a language, Prefixes of a language.

Please read the following instructions carefully before submitting assignment:
  1. You should consult the recommended books, PowerPoint slides and audio lectures to clarify your concepts.
  2. You are supposed to submit your assignment in .doc format. Any other formats like scan images, PDF, zip, rar and bmp etc will not be accepted.
  3. It should be clear that your assignment will not get any credit if:
·         The assignment is submitted after due date.
·         The assignment is copied from Internet or from any other student.
·         The submitted assignment does not open or file is corrupt.

Note: No assignment will be accepted after the due date through email in any case (load shedding, server down, internet malfunctioning etc.).
It is recommended to upload solution file at least two days before its closing date.

For any query about the assignment, contact at cs402@vu.edu.pk 
Question No 1:                                                                                                               Marks=5  
Using Myhill Nerode theorem, prove that the language L defined over Σ={a,b} containing at least one ‘a’ is regular.
Hint: Define classes and build an FA
Question No 2:                                                                                                                 Marks=5
Find the complement of the given FA.

Question No 3:                                                                                                                 Marks=5
Let Q={a,bb,aaab} and R={aba, aab, bab, baaab, bbbabab, babab, abbbb, bbbb, abbabb, abbbababab}
Find Pref (Q in R).
= ab , abb, bb, abba,  b


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