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Recent questions tagged pumping-lemma
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61
Peter Linz Edition 4 Exercise 4.3 Question 2 (Page No. 122)
Prove the following generalization of the pumping lemma. If $L$ is regular, then there exists an $m$, such that the following holds for every sufficiently long $w ∈ L$ and every one of its decompositions $w = u_1υu_2$, with $u_1,u_2 ∈ Σ^*, |υ| \geq m.$ The ... $|xy| ≤ m, |y| ≥ 1,$ such that $u_1xy^izu_2 ∈ L$ for all $i = 0,1, 2, .$
Prove the following generalization of the pumping lemma.If $L$ is regular, then there exists an $m$, such that the following holds for every sufficiently long $w ∈ L$ a...
Naveen Kumar 3
146
views
Naveen Kumar 3
asked
Apr 11, 2019
Theory of Computation
peter-linz
peter-linz-edition4
theory-of-computation
pumping-lemma
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1
votes
1
answer
62
Peter Linz Edition 4 Exercise 4.3 Question 1 (Page No. 122)
Prove the following version of the pumping lemma. If $L$ is regular, then there is an $m$ such that, every $w ∈ L$ of length greater than $m$ can be decomposed as $w = xyz,$ with $|yz| ≤ m$ and $|y| ≥ 1,$ such that $xy^iz$ is in $L$ for all $i$.
Prove the following version of the pumping lemma. If $L$ is regular, then there is an $m$ such that,every $w ∈ L$ of length greater than $m$ can be decomposed as $w = x...
Naveen Kumar 3
265
views
Naveen Kumar 3
asked
Apr 11, 2019
Theory of Computation
peter-linz
peter-linz-edition4
theory-of-computation
pumping-lemma
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0
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0
answers
63
#TOC what is the minimum pumping length of this regular language?
iarnav
2.2k
views
iarnav
asked
Mar 11, 2019
Theory of Computation
pumping-lemma
theory-of-computation
finite-automata
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1
votes
1
answer
64
Peter Linz Edition 4 Exercise 4.3 Question 6 (Page No. 122)
Given $L_1=${$a^nb^n$|$n\geqslant 1$} , $L_2=${$a^nb^m|n\geq 1, m\geq 1$}, $L_3=${$a^nb^{n+2}|n\geqslant 1$} if $L_1 \cup L_2$ is regular then why $L_1 \cup L_3$ is not regular? also what is the language of $L_1 \cup L_3$?
Given $L_1=${$a^nb^n$|$n\geqslant 1$} , $L_2=${$a^nb^m|n\geq 1, m\geq 1$}, $L_3=${$a^nb^{n+2}|n\geqslant 1$}if $L_1 \cup L_2$ is regular then why $L_1 \cup L_3$ is not re...
aditi19
982
views
aditi19
asked
Feb 25, 2019
Theory of Computation
theory-of-computation
peter-linz
peter-linz-edition4
regular-language
pumping-lemma
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27
votes
1
answer
65
Michael Sipser exercise
For each of the following languages, give the minimum pumping length and justify your answer. 0001* 0*1* 001 ∪ 0* 1* 0*1$^+$0$^+$1* ∪ 10*1 (01)* ε 1*01*01* 10(11*0)*0 1011 Σ*
For each of the following languages, give the minimum pumping length and justify your answer.0001* 0*1*001 ∪ 0* 1*0*1$^+$0$^+$1* ∪ 10*1(01)*ε1*01*01*10(11*0)*01011Σ...
KULDEEP SINGH 2
7.9k
views
KULDEEP SINGH 2
asked
Feb 11, 2019
Theory of Computation
pumping-lemma
minimum-pumping-length
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50
votes
6
answers
66
GATE CSE 2019 | Question: 15
For $\Sigma = \{a ,b \}$, let us consider the regular language $L=\{x \mid x = a^{2+3k} \text{ or } x=b^{10+12k}, k \geq 0\}$. Which one of the following can be a pumping length (the constant guaranteed by the pumping lemma) for $L$ ? $3$ $5$ $9$ $24$
For $\Sigma = \{a ,b \}$, let us consider the regular language $L=\{x \mid x = a^{2+3k} \text{ or } x=b^{10+12k}, k \geq 0\}$. Which one of the following can be a pumping...
Arjun
34.3k
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Arjun
asked
Feb 7, 2019
Theory of Computation
gatecse-2019
theory-of-computation
pumping-lemma
1-mark
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0
votes
0
answers
67
TOpic test zeal
Prince Sindhiya
191
views
Prince Sindhiya
asked
Dec 22, 2018
Theory of Computation
pumping-lemma
test-series
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0
votes
0
answers
68
Pumping lemma
What exactly does it means when we say that a particular string can be pumped or not in pumping lemma?,,.. and consequently what is the pumping length for a regular language in pumping lemma?
What exactly does it means when we say that a particular string can be pumped or not in pumping lemma?,,.. and consequently what is the pumping length for a regular langu...
aambazinga
417
views
aambazinga
asked
Sep 9, 2018
Theory of Computation
theory-of-computation
pumping-lemma
regular-language
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0
votes
0
answers
69
TOC - Doubt
The logic of pumping leema is good example of The Pigeon Hole Principle. Can anyone please explain this?
The logic of pumping leema is good example of The Pigeon Hole Principle. Can anyone please explain this?
Sumit Singh Chauhan
282
views
Sumit Singh Chauhan
asked
Aug 15, 2018
Theory of Computation
theory-of-computation
regular-language
pumping-lemma
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0
votes
2
answers
70
Peter Linz Edition 4 Exercise 4.3 Question 11 (Page No. 123)
Show that the language $L =$\left \{ a^{n!} : n\geq 1 \right \}$ is not regular using pumping lemma
Show that the language $L =$$\left \{ a^{n!} : n\geq 1 \right \}$ is not regular using pumping lemma
Mk Utkarsh
1.1k
views
Mk Utkarsh
asked
Mar 20, 2018
Theory of Computation
theory-of-computation
peter-linz
peter-linz-edition4
regular-language
pumping-lemma
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0
votes
1
answer
71
Self Doubt Pumping lemma
When trying to prove a language L is not regular assuming that L is regular there exist a pumping length let's say m for L and $\left | m \right | \geq 1$ w = xyiz where i = 0,1,2,3,4,..... and w $\in L$ now every time i get confused ... took i = p+1 but why she did that ? like how one should know it must be p+1? i want someone to generalize the pumping lemma proofs
When trying to prove a language L is not regular assuming that L is regularthere exist a pumping length let's say m for L and $\left | m \right | \geq 1$w = xyiz where i ...
Mk Utkarsh
1.0k
views
Mk Utkarsh
asked
Mar 17, 2018
Theory of Computation
theory-of-computation
pumping-lemma
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2
votes
1
answer
72
Pumping Lemma
The proof of pumping lemma is an example of :- (A) iteration (B) recursion (C) pigeonhole principle (D) None of These
The proof of pumping lemma is an example of :-(A) iteration(B) recursion(C) pigeonhole principle(D) None of These
ankitgupta.1729
1.4k
views
ankitgupta.1729
asked
Dec 31, 2017
Theory of Computation
theory-of-computation
pumping-lemma
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2
votes
1
answer
73
Pumping Lemma problem
0^3m over the alphabets {0,1} , m E I+ is a regular language right? We can draw the DFA for it. Which means it cannot be tested using pumping lemma for regularity, but since we already know it is regular, whenever we take any string generated by L ... the pumping lemma constrains , so that on pumping, we have 0^(3p+1) , not acceptable by the machine. Where have I messed up?
0^3m over the alphabets {0,1} , m E I+ is a regular language right? We can draw the DFA for it.Which means it cannot be tested using pumping lemma for regularity, but sin...
Abhisek Mukherjee
411
views
Abhisek Mukherjee
asked
Nov 14, 2017
Theory of Computation
theory-of-computation
pumping-lemma
regular-language
pumping
lemma
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1
votes
2
answers
74
UGC NET CSE | November 2017 | Part 3 | Question: 21
Pumping lemma for regular language is generally used for proving Whether two given regular expressions are equivalent A given grammar is ambiguous A given grammar is regular A given grammar is not regular
Pumping lemma for regular language is generally used for provingWhether two given regular expressions are equivalentA given grammar is ambiguousA given grammar is regular...
Arjun
2.1k
views
Arjun
asked
Nov 5, 2017
Theory of Computation
ugcnetcse-nov2017-paper3
theory-of-computation
pumping-lemma
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5
votes
1
answer
75
UGC NET CSE | November 2017 | Part 3 | Question: 19
The logic of pumping lemma is an example of _________ Iteration Recursion The divide and conquer principle The pigeon – hole principle
The logic of pumping lemma is an example of _________IterationRecursionThe divide and conquer principleThe pigeon – hole principle
Arjun
1.6k
views
Arjun
asked
Nov 5, 2017
Theory of Computation
ugcnetcse-nov2017-paper3
theory-of-computation
pumping-lemma
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4
votes
3
answers
76
Prove a language is regular using pumping lemma.
Prove $a^{2n}: n>0$ is regular using pumping lemma. But I am ending up with a prove that this language is not regular as follows. Point my mistakes out. Let $w = a^{2n}$ where $n\geq m$, a positive integer. If $xyz$ is a decomposition then ... $w_{0} \notin L$ for odd $k$. Hence the given language is not regular.
Prove $a^{2n}: n>0$ is regular using pumping lemma. But I am ending up with a prove that this language is not regular as follows. Point my mistakes out. Let $w = a^{2n}$ ...
Aghori
4.1k
views
Aghori
asked
Aug 23, 2017
Theory of Computation
theory-of-computation
pumping-lemma
regular-language
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0
votes
2
answers
77
Peter Linz Exercise 4.3
Ayush Upadhyaya
467
views
Ayush Upadhyaya
asked
Mar 15, 2017
Theory of Computation
theory-of-computation
regular-language
pumping-lemma
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0
votes
1
answer
78
Pumping lemma for regular grammer
True/False Pumping lemma is generally used to prove whether given grammar is not regular.
True/FalsePumping lemma is generally used to prove whether given grammar is not regular.
rahul sharma 5
1.7k
views
rahul sharma 5
asked
Jan 13, 2017
Theory of Computation
theory-of-computation
pumping-lemma
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0
votes
0
answers
79
TOC Pumping Lemma
In pumping lemma it says if there is a string whose length is >=N,where N is number of states in dfa,then language of machine is infinite,but there is one upper constraing also. 2N-1>=|W|>=N Can anyone tell me about the use of 2N-1 here ?
In pumping lemma it says if there is a string whose length is >=N,where N is number of states in dfa,then language of machine is infinite,but there is one upper constrain...
rahul sharma 5
515
views
rahul sharma 5
asked
Jan 11, 2017
Theory of Computation
theory-of-computation
pumping-lemma
pumping
lemma
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0
votes
1
answer
80
Is there any example for PUMPING LEMMA proves that L given IS a CFL?
many examples are available for using pumping lemma to prove a language dies NOT belong to CFG. Is there any example for PUMPING LEMMA proves that L given IS a CFL? Please share it..
many examples are available for using pumping lemma to prove a language dies NOT belong to CFG.Is there any example for PUMPING LEMMA proves that L given IS a CFL?Please ...
sh!va
333
views
sh!va
asked
Jan 3, 2017
Theory of Computation
theory-of-computation
pumping-lemma
context-free-language
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0
votes
1
answer
81
Pumping Lemma for CFG
Consider the language, L = {1k 0i 1i 0j 1j 0k | i,j,k>0}. Is this language context free? I tried to find this using pumping lemma, By intution, If we consider , by the definition of pumping lemma for CFG, u and y to be 1k and 0k ... in 0j and if the pump up the variables, surely string generated after pumping up wont be in the given language right? Am I missing something?
Consider the language, L = {1k 0i 1i 0j 1j 0k | i,j,k>0}. Is this language context free?I tried to find this using pumping lemma,By intution,If we consider , by the defin...
Nithish
749
views
Nithish
asked
Dec 14, 2016
Theory of Computation
theory-of-computation
pumping-lemma
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4
votes
2
answers
82
Pumping Lemma
monty
2.5k
views
monty
asked
Oct 28, 2016
Theory of Computation
theory-of-computation
pumping-lemma
lemma
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0
votes
1
answer
83
Pumping Lemma
how to prove that these are not Regular using Pumping Lemma {0n15n∣n≥10000} & for also n≤10000
how to prove that these are not Regular using Pumping Lemma {0n15n∣n≥10000} & for also n≤10000
PEKKA
993
views
PEKKA
asked
Oct 27, 2016
Theory of Computation
pumping-lemma
theory-of-computation
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–
0
votes
0
answers
84
Pumping lemma
Why does the pumping lemma (weaker one) fails
Why does the pumping lemma (weaker one) fails
vivek9837
263
views
vivek9837
asked
Oct 7, 2016
Theory of Computation
pumping-lemma
theory-of-computation
+
–
1
votes
1
answer
85
Pumping lemma.
To prove L is not regular using pumping lemma we choose a string $z \in L$ and $z = vwx$ where $|vw| \leq m$ and $|w| \geq 1$, (v,w,x,m have their usual meaning). If $L = \left \{ a^n | n\geq 2,\text{ is a prime number } \right \}$ then a possible choice for vw to prove L non regularity is ______.
To prove L is not regular using pumping lemma we choose a string $z \in L$ and $z = vwx$ where $|vw| \leq m$ and $|w| \geq 1$, (v,w,x,m have their usual meaning). If $L =...
dd
568
views
dd
asked
Sep 29, 2016
Theory of Computation
pumping-lemma
theory-of-computation
+
–
4
votes
2
answers
86
UGC NET CSE | December 2013 | Part 3 | Question: 40
Pumping lemma for context-free languages states: Let $L$ be an infinite context free language. Then there exists some positive integer m such that any $w \in L$ with $\mid w \mid \geq m$ can be decomposed as $w=uv \, xy \, Z$ with $\mid vxy \mid$ ... $\leq m, \leq 1$ $\leq m, \geq 1$ $\geq m, \leq 1$ $\geq m, \geq 1$
Pumping lemma for context-free languages states:Let $L$ be an infinite context free language. Then there exists some positive integer m such that any $w \in L$ with $\mid...
go_editor
2.1k
views
go_editor
asked
Jul 29, 2016
Theory of Computation
ugcnetcse-dec2013-paper3
theory-of-computation
context-free-language
pumping-lemma
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–
0
votes
1
answer
87
Pumping Lemma RL CFL & Pumping Length
What is the basic Conditions for Pumping Lemma of RL and CFL I found different ans in different sources Also Tell me what is a pumping length ? IS there any minimum pumping length or something ?
What is the basic Conditions for Pumping Lemma of RL and CFLI found different ans in different sourcesAlso Tell me what is a pumping length ?IS there any minimum pumping ...
pC
657
views
pC
asked
Jan 29, 2016
Theory of Computation
pumping-lemma
theory-of-computation
+
–
0
votes
2
answers
88
Pumping Lemma Confusion
consider a language {0^2n | n>=1} I am using pumping lemma to show that the above language is not regular. taking m=3 w=0000 x=0 y=0 z=00 now xy^0z = 000 which is not in w. hence the language is not regular. what is the mistake I have done in pumping lemma, because the language is actually regular.
consider a language {0^2n | n>=1} I am using pumping lemma to show that the above language is not regular.taking m=3w=0000x=0y=0z=00now xy^0z = 000 which is not in w. hen...
Nitin Nilesh
487
views
Nitin Nilesh
asked
Dec 10, 2015
Theory of Computation
pumping-lemma
theory-of-computation
+
–
4
votes
1
answer
89
Pumping Lemma
Prove or Disprove below language is regular or not L1={w|w∈∑* where w visit all state of M atleast once where M is machine accepting L1 L2={w|w∈∑* where w visit all state of M equal no of times where M is machine accepting L2
Prove or Disprove below language is regular or notL1={w|w∈∑* where w visit all state of M atleast once where M is machine accepting L1 L2={w|w∈∑* where ...
saurav04
1.1k
views
saurav04
asked
Dec 4, 2015
Theory of Computation
pumping-lemma
+
–
20
votes
1
answer
90
What is the minimum pumping length of the following languages
This is from the first chapter questions of Sipser's book on TOC. I am stuck in some of the questions where we are asked to find the pumping length of the following languages. Find the minimum pumping length of the following regular languages:- L=$0^*1^+0^+1^* \cup \ 10^*1$ L=001 U 0*1* L=0*1* L=10 (11* 0)* 0 L= ∊
This is from the first chapter questions of Sipser's book on TOC. I am stuck in some of the questions where we are asked to find the pumping length of the following langu...
Rohit Mallik
18.1k
views
Rohit Mallik
asked
Nov 21, 2015
Theory of Computation
theory-of-computation
pumping-lemma
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