Pumping lemma, Theory of Computation

For every regular language there is a constant n depending only on L such that, for all strings x ∈ L if |x| ≥ n then there are strings u, v and w such that

1. x = uvw,

2. |uv| ≤ n,

3. |v| ≥ 1,

4. for all i ≥ 0, uviw ∈ L.

What this says is that if there is any string in L "long enough" then there is some family of strings of related form that are all in L, that is, that there is some way of breaking the string into segments uvw for which uvi w is in L for all i. It does not say that every family of strings of related form is in L, that uvi w will be in L for every way of breaking the string into three segments uvw.

Posted Date: 3/21/2013 1:39:28 AM | Location : United States







Related Discussions:- Pumping lemma, Assignment Help, Ask Question on Pumping lemma, Get Answer, Expert's Help, Pumping lemma Discussions

Write discussion on Pumping lemma
Your posts are moderated
Related Questions
Claim Under the assumptions above, if there is an algorithm for checking a problem then there is an algorithm for solving the problem. Before going on, you should think a bit about

draw pda for l={an,bm,an/m,n>=0} n is in superscript

how many pendulum swings will it take to walk across the classroom?

Find the Regular Grammar for the following Regular Expression:                    a(a+b)*(ab*+ba*)b.

What is the purpose of GDTR?

let G=(V,T,S,P) where V={a,b,A,B,S}, T={a,b},S the start symbol and P={S->Aba, A->BB, B->ab,AB->b} 1.show the derivation sentence for the string ababba 2. find a sentential form

Prepare the consolidated financial statements for the year ended 30 June 2011. On 1 July 2006, Mark Ltd acquired all the share capitall of john Ltd for $700,000. At the date , J

how to find whether the language is cfl or not?

Given any NFA A, we will construct a regular expression denoting L(A) by means of an expression graph, a generalization of NFA transition graphs in which the edges are labeled with

As we are primarily concerned with questions of what is and what is not computable relative to some particular model of computation, we will usually base our explorations of langua