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[Solved]: The importance of membership problem

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Problem Detail: 

Imagine a word like $w$ and a language like $L$ are given and we want to check if $w\in L$. This is called membership problem.

Why is the membership problem important?

Asked By : Arman Malekzade

Answered By : David Richerby

The importance is that any computational problem where the answer is yes or no can be phrased as a membership problem in a language. The language is the set of strings for which the answer is yes.

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