Closed PanosYang closed 3 years ago
There is no (direct) relationship between prover time speedups and proof size reductions. Spartan's prover is faster than baselines because its underlying algorithms are fast (e.g., the sum-check protocol) and also because it avoids certain superlinear algorithms used in other proof systems (e.g., FFT). Our paper (https://eprint.iacr.org/2019/550.pdf) provides more details.
Spartan offers the fastest prover with speedups of 36–152× depending on the baseline, produces proofs that are shorter by 1.2–416×。
Does it mean that the size of the proofs shorter by 1.2-416x? If not, this means the time to generate the proof of generation shorter by 1.2x . 36x speedups of prover, but only with 1.2x shorter produces proofs , why the difference so big?