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Lecture 3

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Theorem (Pumping Lemma)<br />

If A is a regular language, then there is a<br />

number p (called the pumping length) such that<br />

whenever s is a string in A of length ≥ p, then s<br />

may be written s=xyz satisfying:<br />

for each i ≥ 0, xy i z ∊ A,<br />

|y| > 0, and<br />

|xy| ≤ p<br />

Friday, February 8, 13

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