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- Ogden's_lemma abstract "In the theory of formal languages, Ogden's lemma (named after William F. Ogden) provides an extension of flexibility over the pumping lemma for context-free languages.Ogden's lemma states that if a language L is context-free, then there exists some number p > 0 (where p may or may not be a pumping length) such that for any string w of length at least p in L and every way of "marking" p or more of the positions in w, w can be written asw = uxyzvwith strings u, x, y, z, and v, such thatxz has at least one marked position, xyz has at most p marked positions, anduxiyziv is in L for every i ≥ 0.Ogden's lemma can be used to show that certain languages are not context-free, in cases where the pumping lemma for context-free languages is not sufficient. An example is the language {aibjckdl : i = 0 or j = k = l}.It is also useful to prove the inherent ambiguity of some languages.Observe that when every position is marked, this lemma is equivalent to the pumping lemma for context-free languages.".
- Ogden's_lemma wikiPageID "4105321".
- Ogden's_lemma wikiPageRevisionID "595169581".
- Ogden's_lemma hasPhotoCollection Ogden's_lemma.
- Ogden's_lemma subject Category:Formal_languages.
- Ogden's_lemma subject Category:Lemmas.
- Ogden's_lemma type Abstraction100002137.
- Ogden's_lemma type Communication100033020.
- Ogden's_lemma type FormalLanguages.
- Ogden's_lemma type Language106282651.
- Ogden's_lemma type Lemma106751833.
- Ogden's_lemma type Lemmas.
- Ogden's_lemma type Message106598915.
- Ogden's_lemma type Proposition106750804.
- Ogden's_lemma type Statement106722453.
- Ogden's_lemma comment "In the theory of formal languages, Ogden's lemma (named after William F.".
- Ogden's_lemma label "Lema de Ogden".
- Ogden's_lemma label "Lemat Ogdena".
- Ogden's_lemma label "Lemma di Ogden".
- Ogden's_lemma label "Lemme d'Ogden".
- Ogden's_lemma label "Ogden's lemma".
- Ogden's_lemma label "Ogdens Lemma".
- Ogden's_lemma label "Лемма Огдена".
- Ogden's_lemma label "オグデンの補題".
- Ogden's_lemma label "鄂登引理".
- Ogden's_lemma sameAs Ogdens_Lemma.
- Ogden's_lemma sameAs Lemme_d'Ogden.
- Ogden's_lemma sameAs Lemma_di_Ogden.
- Ogden's_lemma sameAs オグデンの補題.
- Ogden's_lemma sameAs Lemat_Ogdena.
- Ogden's_lemma sameAs Lema_de_Ogden.
- Ogden's_lemma sameAs m.0bjbch.
- Ogden's_lemma sameAs Q1855893.
- Ogden's_lemma sameAs Q1855893.
- Ogden's_lemma sameAs Ogden's_lemma.
- Ogden's_lemma wasDerivedFrom Ogden's_lemma?oldid=595169581.
- Ogden's_lemma isPrimaryTopicOf Ogden's_lemma.