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Pi _ 4 : = ( KeyGen _ 4 , Tag _ 4 , Verify _ 4 ) is defined as follows: KeyGen _

\Pi _4:=(KeyGen_4,Tag_4,Verify_4) is defined as follows:
KeyGen_4 is identical to KeyGen_1, and it outputs a key k.
Tag_4[k,(m_1, m_2)] first runs Tag_1(k, m_1) and obtains \sigma _1 and it runs Tag_2(k, m_2) and obtains \sigma _2. The final tag is
\sigma \sigma _1\sigma _2.
Is \Pi _4 a secure MAC? Briefly explain why.

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