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I was learning about iO from this paper when I noticed the different new types of PRFs. I wanted a clear understanding of the following.

  1. What are Puncturable PRF (PPRF)? Why is it defined in the way it is? Applications?

  2. What are Statistically Injective PPRFs and their need?

  3. What are Extracting PPRF and its applications?

Please Explain the need of introducing the following types and the additional advantage it provides in the design compared to normal PRFs.

kodlu
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