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← GATE CSE 2025 Set 1

Q34

MCQ2 marks, −0.67

Consider the following two languages over the alphabet {a,b}\{a, b\}:

L1={αβα∣α∈{a,b}+AND β∈{a,b}+}L2={αβα∣α∈{a}+AND β∈{a,b}+}\begin{array}{l} L_{1}=\left\{\alpha \beta \alpha \mid \alpha \in\{a, b\}^{+} \text {AND } \beta \in\{a, b\}^{+}\right\} \\ L_{2}=\left\{\alpha \beta \alpha \mid \alpha \in\{a\}^{+} \text {AND } \beta \in\{a, b\}^{+}\right\} \end{array}

Which ONE of the following statements is CORRECT?

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