Take the 2-minute tour ×
Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science. It's 100% free, no registration required.

If I have an infinite language $L$ which fulfills the Pumping lemma for regular languages, does $L^*$ also fulfill the same conditions?

share|improve this question
    
What have you tried? –  Raphael Feb 16 '13 at 15:14
    
1. if the first word of the Concatenation> n so that we can do a pumping –  user6885 Feb 16 '13 at 15:30
    
2.word of the Concatenation<n we will Selected her to be V of the lemma and write her meny time we want –  user6885 Feb 16 '13 at 15:32

1 Answer 1

In order to show the pumping property of a string like $x_1x_2 \dots x_n$, where each $x_i\in L$ you can distinguish two cases. Either $x_1$ is "short", which means you can pump $x_1$ completely and stay within $L^*$, or $x_1$ is "long" and you can pump "inside" $x_1$.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.