Last Updated :2025/11/26

pumping lemma

Noun
Japanese Meaning
計算機科学における補題で、十分に長い文字列の中に、ある部分を削除または繰り返しても元の言語に留まる部分文字列が存在するという性質を示すもの。 / この補題は、ある言語が特定の言語クラス(例えば正規言語でない言語)に属するか否かを判断するために使用される。
What is this buttons?

ある言語が正則でないことを証明するために、彼女は長い文字列の中に中間部分があり、それを取り除いたり何度も繰り返したりしても結果の文字列がその言語に残ると主張する補題(ポンピング補題)を用いて、特定の長い文字列に対して有効な分解が任意の繰り返しに耐えられないことを示した。

plural

plural

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(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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pumping lemma

To prove a language is not regular, she used the pumping lemma to show that no valid decomposition of certain long strings preserves membership under arbitrary repetition.

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To prove a language is not regular, she used the pumping lemma to show that no valid decomposition of certain long strings preserves membership under arbitrary repetition.

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