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pumpinglemma1

pumpinglemma1 - s ∈ L where | s | ≥ p such that for all...

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Computer Science E-207 Pumping Lemma for Regular Languages Pumping Lemma for Regular Languages, Strong Version If L is a regular language, then there exists a constant p such that, for any string s L , where | s | ≥ p , there exist strings x,y,z Σ * , where s = xyz , | xy | ≤ p , and y 6 = e , such that, for all n 0, xy n z L . To show that some language, L , is not regular, you simply need show that. .. For all p 0, there exists some
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Unformatted text preview: s ∈ L , where | s | ≥ p , such that for all x,y,z ∈ Σ * , where s = xyz , | xy | ≤ p , and y 6 = e , there exists some n ≥ 0 such that xy n z / ∈ L . In other words, cleverly choose some s ∈ L and show that, no matter how you choose xy (and, in turn, z ), there’s always some n ≥ 0 for which xy n z / ∈ L . 1...
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