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1/ New survey: Sum-check is all you need.
Just posted a survey on the design principles behind Jolt and fast-prover SNARKs more broadly. It's arguably the first time the core ideas have all been written down in one place.
2/ What’s the sum-check protocol? It’s the backbone of today’s fastest SNARKs. An interactive proof that checks a huge sum with minimal overhead. In SNARKs, it lets provers commit to far less data. Most of the work becomes simple additions and multiplications.
3/ But not all uses of sum-check are equal. The fastest SNARKs use it intelligently, exploiting repeated structure to minimize prover work.
Key techniques:
– Batch evaluation arguments
– Memory checking
– Virtual polynomials
– Sparse sum-checks
– Small-value preservation
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