These are specialized computational structures designed to perform mathematical operations. In the context of digital assets, they underpin the execution of smart contracts and the validation of transactions on distributed ledgers. Their efficiency and correctness are paramount for the integrity and performance of blockchain networks, directly influencing transaction throughput and the complexity of operations that can be reliably processed.
Context
Discussions surrounding arithmetic circuits frequently arise when evaluating the performance characteristics of new blockchain protocols or upgrades aimed at enhancing scalability. Analyzing the computational overhead associated with complex operations, such as those found in zero-knowledge proofs or advanced cryptographic functions, often requires an understanding of the underlying circuit designs. Innovations in circuit design can significantly impact transaction costs and network speeds, making them a focal point for developers and investors alike.
This new Interactive Oracle Proof system resolves the prover-verifier efficiency trade-off, achieving linear prover time and polylogarithmic verification complexity.
The Libra proof system introduces a transparent zero-knowledge scheme achieving optimal linearithmic prover time, unlocking universally scalable private computation.
This work delivers the first lattice-based argument with polylogarithmic verification time, resolving the trade-off between post-quantum security and SNARK succinctness.
A novel polynomial commitment scheme achieves cryptographic transparency and logarithmic verification, eliminating the reliance on a trusted setup for scalable zero-knowledge proofs.
zkVC introduces CRPC and PSQ to reduce matrix multiplication constraints from O(n3) to O(n), achieving over 12x faster ZK proof generation for verifiable AI.
A novel block-processing algorithm achieves square-root memory scaling for ZKPs, transforming verifiable computation from server-bound to device-feasible.
This research extends inner-product arguments to integers, enabling succinct, batchable zero-knowledge proofs for arithmetic circuits and range proofs.
zkUnlearner introduces a bit-masking technique for zero-knowledge proofs, enabling verifiable, multi-granular data unlearning in AI models and resisting forging attacks.
Orion introduces a novel zero-knowledge argument system achieving linear prover time and polylogarithmic proof size, significantly enhancing ZKP efficiency.
This research introduces novel Zero-Knowledge Proof protocols that significantly reduce prover time and enhance efficiency, enabling scalable and trustless applications in blockchain and AI.
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