@inproceedings{2a74a7276e4b4d60854d1686bcb787b2,

title = "Zero-knowledge protocols for search problems",

abstract = "We consider natural ways to extend the notion of Zero-Knowledge (ZK) Proofs beyond decision problems. Specifically, we consider search problems, and define zero-knowledge proofs in this context as interactive protocols in which the prover can establish the correctness of a solution to a given instance without the verifier learning anything beyond the intended solution, even if it deviates from the protocol. The goal of this work is to initiate a study of Search Zero-Knowledge (search-ZK), the class of search problems for which such systems exist. This class trivially contains search problems where the validity of a solution can be efficiently verified (using a single message proof containing only the solution). A slightly less obvious, but still straightforward, way to obtain zero-knowledge proofs for search problems is to let the prover send a solution and prove in zero-knowledge that the instance-solution pair is valid. However, there may be other ways to obtain such zero-knowledge proofs, and they may be more advantageous. In fact, we prove that there are search problems for which the aforementioned approach fails, but still search zero-knowledge protocols exist. On the other hand, we show sufficient conditions for search problems under which some form of zero-knowledge can be obtained using the straightforward way.",

keywords = "Interactive proofs, Search problems, Zero-knowledge",

author = "Ben Berger and Zvika Brakerski",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.; 11th International Conference on Security and Cryptography for Networks, SCN 2018 ; Conference date: 05-09-2018 Through 07-09-2018",

year = "2018",

doi = "https://doi.org/10.1007/978-3-319-98113-0_16",

language = "الإنجليزيّة",

isbn = "9783319981123",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "292--309",

editor = "Dario Catalano and {De Prisco}, Roberto",

booktitle = "Security and Cryptography for Networks - 11th International Conference, SCN 2018, Proceedings",

}