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Proof that interactive proof system is equivalent to generalized interactive proof system

cn flag

I did try to prove the interactive proof system and generalized interactive proof system are equivalent. According to both definitions are in the pictures. However, I still struggling to do it. Please help me solve this.

Definition of Interactive Proof  Definition of Generalized Interactive proof

Geoffroy Couteau avatar
cn flag
So, in a generalized IP, the gap between soundness and correctness is now 1/p, for some polynomial p. How would you proceed to "boost" the gap of this protocol? What would be the procedure? Also, are you familiar with standard concentration inequalities?
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