Definition ∞ Shorter proofs refer to cryptographic proofs that possess a significantly reduced size compared to earlier or alternative proof systems, making them more efficient for on-chain storage and transmission. This property is highly desirable in blockchain contexts where data storage is expensive and bandwidth is limited. Achieving compact proof sizes is a primary goal in the design of zero-knowledge proofs and other verifiable computation schemes. They improve scalability.
Context ∞ The pursuit of shorter proofs is a central focus in the development of zero-knowledge proof systems, particularly for enhancing blockchain scalability and privacy. Ongoing research continually introduces new constructions that achieve smaller proof sizes, reducing the computational and storage burden on verifiers. Future innovations aim to approach theoretical minimums for proof length, making complex verifiable computations practical for widespread adoption across various decentralized applications.