Succinctness means the proof size is smaller than the witness, and that it can be verified quickly. So your proof size and verification time can remain small even with large inputs. Succinctness and SNARK is the basis for practical verifiable computation systems like Pinocchio[1], early applications like Zerocoin, and now is the basis for scaling blockchains with ZK rollups.
See for yourself[2]. Much of the recent developments of practical ZKP stems from SNARK. In the last few years there has been an explosion of new papers and tools around this - lots of it driven by blockchain and in some cases directly funded by it.
See for yourself[2]. Much of the recent developments of practical ZKP stems from SNARK. In the last few years there has been an explosion of new papers and tools around this - lots of it driven by blockchain and in some cases directly funded by it.
[1] https://eprint.iacr.org/2013/279.pdf
[2] https://en.wikipedia.org/wiki/Zero-knowledge_proof#Zero-Know...