Local Proofs Approaching the Witness Length

Explore the latest advancements in Probabilistically Checkable Proofs (PCPs) and Interactive Oracle Proofs in this 27-minute IEEE conference talk. Delve into the PCP Theorem, short PCPs, and the state of the art in the field. Examine the main results, including a revisit of PCP length and achieving O(1) query complexity. Investigate key concepts such as multiplication codes, tensor codes, and high-rate tensor codes. Gain insights from speakers Noga Ron-Zewi and Ron Rothblum as they discuss motivations, warmup examples like 3SAT, and conclude with a summary and open problems in this cutting-edge area of theoretical computer science.