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- Pumping_lemma_for_regular_languages abstract "In the theory of formal languages, the pumping lemma for regular languages describes an essential property of all regular languages. Informally, it says that all sufficiently long words in a regular language may be pumped — that is, have a middle section of the word repeated an arbitrary number of times — to produce a new word that also lies within the same language.Specifically, the pumping lemma says that for any regular language L there exists a constant p such that any word w in L with length at least p can be split into three substrings, w = xyz, where the middle portion y must not be empty, such that the words xz, xyz, xyyz, xyyyz, … constructed by repeating y an arbitrary number of times (including zero times) are still in L. This process of repetition is known as "pumping". Moreover, the pumping lemma guarantees that the length of xy will be at most p, imposing a limit on the ways in which w may be split. Finite languages trivially satisfy the pumping lemma by having p equal to the maximum string length in L plus one.The pumping lemma was first proved by Dana Scott and Michael Rabin in 1959. It was rediscovered shortly after by Yehoshua Bar-Hillel, Micha A. Perles, and Eli Shamir in 1961. It is useful for disproving the regularity of a specific language in question. It is one of a few pumping lemmas, each with a similar purpose.".
- Pumping_lemma_for_regular_languages wikiPageID "2070351".
- Pumping_lemma_for_regular_languages wikiPageRevisionID "595169427".
- Pumping_lemma_for_regular_languages hasPhotoCollection Pumping_lemma_for_regular_languages.
- Pumping_lemma_for_regular_languages subject Category:Automata_theory.
- Pumping_lemma_for_regular_languages subject Category:Formal_languages.
- Pumping_lemma_for_regular_languages subject Category:Lemmas.
- Pumping_lemma_for_regular_languages type Abstraction100002137.
- Pumping_lemma_for_regular_languages type Communication100033020.
- Pumping_lemma_for_regular_languages type FormalLanguages.
- Pumping_lemma_for_regular_languages type Language106282651.
- Pumping_lemma_for_regular_languages type Lemma106751833.
- Pumping_lemma_for_regular_languages type Lemmas.
- Pumping_lemma_for_regular_languages type Message106598915.
- Pumping_lemma_for_regular_languages type Proposition106750804.
- Pumping_lemma_for_regular_languages type Statement106722453.
- Pumping_lemma_for_regular_languages comment "In the theory of formal languages, the pumping lemma for regular languages describes an essential property of all regular languages.".
- Pumping_lemma_for_regular_languages label "Lema del bombeo para lenguajes regulares".
- Pumping_lemma_for_regular_languages label "Lema do bombeamento para linguagens regulares".
- Pumping_lemma_for_regular_languages label "Lemat o pompowaniu dla języków regularnych".
- Pumping_lemma_for_regular_languages label "Pumping lemma for regular languages".
- Pumping_lemma_for_regular_languages label "Pumping lemma per i linguaggi regolari".
- Pumping_lemma_for_regular_languages label "Лемма о накачке для регулярных языков".
- Pumping_lemma_for_regular_languages label "正規言語の反復補題".
- Pumping_lemma_for_regular_languages sameAs Lema_del_bombeo_para_lenguajes_regulares.
- Pumping_lemma_for_regular_languages sameAs Pumping_lemma_per_i_linguaggi_regolari.
- Pumping_lemma_for_regular_languages sameAs 正規言語の反復補題.
- Pumping_lemma_for_regular_languages sameAs Lemat_o_pompowaniu_dla_języków_regularnych.
- Pumping_lemma_for_regular_languages sameAs Lema_do_bombeamento_para_linguagens_regulares.
- Pumping_lemma_for_regular_languages sameAs m.06k2gq.
- Pumping_lemma_for_regular_languages sameAs Q2292874.
- Pumping_lemma_for_regular_languages sameAs Q2292874.
- Pumping_lemma_for_regular_languages sameAs Pumping_lemma_for_regular_languages.
- Pumping_lemma_for_regular_languages wasDerivedFrom Pumping_lemma_for_regular_languages?oldid=595169427.
- Pumping_lemma_for_regular_languages isPrimaryTopicOf Pumping_lemma_for_regular_languages.