Arithmetic circuits proof refers to a cryptographic construction that verifies the correct execution of a computation expressed as an arithmetic circuit. This method allows a prover to demonstrate knowledge of inputs that satisfy a circuit without disclosing those inputs. It provides a concise cryptographic argument confirming computational integrity for operations within digital systems. Such proofs are crucial for maintaining privacy and trust in decentralized applications where sensitive data must remain concealed.
Context
The application of arithmetic circuits proof is central to advancing privacy-preserving technologies and scaling solutions in blockchain networks. Discussions frequently address optimizing proof generation time and verification costs to improve practicality for widespread use. Ongoing research aims to reduce the computational overhead, thereby making these proofs more accessible for various on-chain and off-chain computations.
This new polynomial commitment scheme over Galois rings achieves polylogarithmic verification, fundamentally accelerating zero-knowledge proof systems and verifiable computation.
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