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On Pumping lemma for Regular and Context free Lan-guages and Ogdenís Lemma for Context free Lan-guages

by K. Bala Prakasa Rao, B. Venu Gopal, R. Kanaka Raju
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 39 - Number 10
Year of Publication: 2012
Authors: K. Bala Prakasa Rao, B. Venu Gopal, R. Kanaka Raju
10.5120/4860-7137

K. Bala Prakasa Rao, B. Venu Gopal, R. Kanaka Raju . On Pumping lemma for Regular and Context free Lan-guages and Ogdenís Lemma for Context free Lan-guages. International Journal of Computer Applications. 39, 10 ( February 2012), 53-59. DOI=10.5120/4860-7137

@article{ 10.5120/4860-7137,
author = { K. Bala Prakasa Rao, B. Venu Gopal, R. Kanaka Raju },
title = { On Pumping lemma for Regular and Context free Lan-guages and Ogdenís Lemma for Context free Lan-guages },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 39 },
number = { 10 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 53-59 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume39/number10/4860-7137/ },
doi = { 10.5120/4860-7137 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:26:07.586705+05:30
%A K. Bala Prakasa Rao
%A B. Venu Gopal
%A R. Kanaka Raju
%T On Pumping lemma for Regular and Context free Lan-guages and Ogdenís Lemma for Context free Lan-guages
%J International Journal of Computer Applications
%@ 0975-8887
%V 39
%N 10
%P 53-59
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Although pumping lemma can be applied to prove that certain languages are not regular/not context free. If we give a language as an input to the pumping lemma, it proves that the given language is not regular. If we give some regular language as an input to the pumping lemma, it proves that the language is not regular. We know that the input is regular language, but pumping lemma proves it is not regular. Hence results a contradiction. This paper mainly deals with the study on pumping lemma for regular and context free languages.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Pumping lemma Ogden’s lemma Finite automata Push down automata Regular expression

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