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Let L be a language. Two strings xi and xj are prefix-equivalent with respect to L (denoted X1 41 x2) if (tu 2)(xiu El if

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Let L be a language. Two strings xi and xj are prefix-equivalent with respect to L (denoted X1 41 x2) if (tu 2)(xiu El if and only if xju EL) Prove that the relation is an equivalence relation

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