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What is a pumping lemma?

What is a pumping lemma? Here are some definitions.

Noun
  1. (computer science) A lemma which states that for a language to be a member of a language class any sufficiently long string in the language contains a section that can be removed or repeated any number of times with the resulting string remaining in the language, used to determine if a particular language is in a given language class (e.g. not regular).
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