A constant size proof is a cryptographic proof whose size does not grow with the complexity of the statement it verifies. This type of proof allows a verifier to confirm the correctness of a computation or statement using a proof that remains small, regardless of the original computation’s size. Such proofs are highly valuable for scaling decentralized systems, as they minimize the data required for verification. They significantly reduce storage and bandwidth requirements for blockchain nodes.
Context
Constant size proofs, often associated with zero-knowledge proof systems like SNARKs, are a significant development for blockchain scalability and privacy. Current research focuses on improving their generation efficiency and making them more practical for widespread adoption. Their potential to enable verifiable computation off-chain while maintaining on-chain security is a key area of discussion in the crypto space.
Cauchyproofs introduces a quasi-linear batch-updatable vector commitment, solving the critical state proof maintenance bottleneck for practical stateless chains.
Behemoth is a new transparent Polynomial Commitment Scheme that eliminates trusted setup while delivering constant-time verification, fundamentally changing zero-knowledge proof architecture.
Dew introduces the first transparent polynomial commitment scheme with constant proof size and logarithmic verification, eliminating the trusted setup barrier for succinct verifiable computation.
A novel polynomial commitment scheme enables constant-size cryptographic proofs of the entire blockchain state, resolving the critical state synchronization bottleneck and preserving decentralization.
A new algebraic commitment primitive achieves sublinear state updates, fundamentally solving the efficiency bottleneck for large-scale stateless blockchain architecture.
Proof-Carrying Data is a cryptographic primitive enabling proofs to verify other proofs, compressing arbitrary computation history into a single, constant-size argument.
A new cryptographic primitive provides succinct set membership and non-membership proofs while guaranteeing that the set's contents and updates remain entirely private.
Introducing Hierarchical Aggregate Verifiable Random Functions (HAVRFs), a primitive that compresses multiple VRF proofs into a single, constant-size proof, enabling scalable and secure committee-based consensus.
This new cryptographic primitive enables constant-size proofs for arbitrarily long sequential computations, fundamentally solving the accumulated overhead problem for VDFs.
A new Decoupled Vector Commitment primitive fundamentally lowers client verification cost from linear to sublinear time, enabling true stateless decentralization.
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