Definition ∞ Doubly efficient proofs are cryptographic proof systems where both the prover’s computation and the verifier’s computation are highly optimized. Specifically, the prover’s work is quasi-linear in the size of the computation being proven, and the verifier’s work is polylogarithmic in the computation size. This efficiency makes it practical to verify complex computations with minimal overhead. Such proofs are crucial for scalable and private decentralized applications.
Context ∞ The discussion surrounding doubly efficient proofs often centers on their significant implications for the scalability and privacy of blockchain networks. A key debate involves achieving these efficiency gains without introducing new security vulnerabilities or increasing cryptographic complexity. Critical future developments will focus on constructing practical systems with even lower constant factors and broader applicability. These proofs represent a fundamental advance for verifiable computation in digital asset systems.
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