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Exploring FRI, LogUp and using M31 for STARKs with Ulrich Haböck

Zero Knowledge

CHAPTER

Logarithmic Derivative Lookups and CKVM Applications

The chapter delves into the concept of logarithmic derivative lookups and their potential applications in CKVM protocols. The speakers discuss the advantages of encoding witness data elements as poles instead of zeros, and the use of fractional decomposition and logarithmic derivatives in cryptography. They also explore the connection between Fast Reed-Solomon Interactive Oracle Proofs (FRI) and recursion to lookups, as well as the improvements made in log up commitment schemes and the reduction of lookup arguments.

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