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Please write out the respective library definitions and the proof for why they are secure. I will rate! 3. Let F be a secure PRF

Please write out the respective library definitions and the proof for why they are secure. I will rate!

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3. Let F be a secure PRF with -bit outputs, and let G be a PRG with stretch . Define F(k,r)=G(F(k,r)). So F has outputs of length +. Prove that F is a secure PRF

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