[Solved] Given a language L over alphabet \ Sigma

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Given a language L over alphabet Sigma , define Prefix ( L ) to be { x : there exists y in Sigma

Given a language L over alphabet

\

Sigma

,

define Prefix

(

)

to be

{

x : there exists y in

\

Sigma

such that xy in

} .

Is the class of regular languages closed under Prefix?

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