WebDec 16, 2024 · The knowledge complexity of interactive proof systems. SIAM J. Comput. 18(1), 186–208 (1989) CrossRef MathSciNet MATH Google Scholar Blum, M., Feldman, P., Micali, S.: Non-interactive zero-knowledge and its applications. In: Providing Sound Foundations for Cryptography: On the Work of Shafi Goldwasser and Silvio Micali, pp. … WebIn this paper a computational complexity theory of the “knowledge” contained in a proof is developed. Zero-knowledge proofs are defined as those proofs that convey no additional knowledge other than the correctness of the proposition in question. Society for Industrial and Applied Mathematics. 3600 Market Street, 6th … The notion of nonmalleable cryptography, an extension of semantically secure … The Knowledge Complexity of Interactive Proof Systems. Next. Open in viewer. Go … In this work we look back into the proof of the PCP (probabilistically checkable … We investigate hierarchical properties and logspace reductions of languages …
CS 355 { Topics in Cryptography Lecture 3: Interactive …
WebJan 14, 2024 · 2. Formal Definitions: The Devil is in the Detail. While the properties of a proof system may seem intuitive, defining completeness, soundness or zero-knowledge in a rigorous and mathematically ... WebA computational complexity theory of the “knowledge” contained in a proof is developed and examples of zero-knowledge proof systems are given for the languages of quadratic residuosity and 'quadratic nonresiduosity. 3,961 PDF The Polynomial-Time Hierarchy L. Stockmeyer Computer Science, Mathematics Theor. Comput. Sci. 1976 1,340 PDF grethe lassen
On Defining Proofs of Knowledge SpringerLink
WebIn computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties: a prover and a … Webdecided by a randomized interactive proof if for any input x2f0;1gwe have: If x2Lthen there is a prover strategy, for which the veri er accept with probability 2=3. If x=2Lthen for any … Webthe principal work “The Knowledge Complexity of Interactive Proof-systems” [GMR85] with subsequent introduction of the non-interactive proofs [BFM88] which are especially essential in the context of blockchains. In any zero-knowledge proof system, there is a prover who wants to convince a verifier that grethe jacobsen historiker