TY - JOUR
T1 - Redundancy in distributed proofs
AU - Feuilloley, Laurent
AU - Fraigniaud, Pierre
AU - Hirvonen, Juho
AU - Paz, Ami
AU - Perry, Mor
PY - 2020/10/7
Y1 - 2020/10/7
N2 - Distributed proofs are mechanisms that enable the nodes of a network to collectively and efficiently check the correctness of Boolean predicates on the structure of the network (e.g., having a specific diameter), or on objects distributed over the nodes (e.g., a spanning tree). We consider well known mechanisms consisting of two components: a prover that assigns a certificate to each node, and a distributed algorithm called a verifier that is in charge of verifying the distributed proof formed by the collection of all certificates. We show that many network predicates have distributed proofs offering a high level of redundancy, explicitly or implicitly. We use this remarkable property of distributed proofs to establish perfect tradeoffs between the size of the certificate stored at every node, and the number of rounds of the verification protocol.
AB - Distributed proofs are mechanisms that enable the nodes of a network to collectively and efficiently check the correctness of Boolean predicates on the structure of the network (e.g., having a specific diameter), or on objects distributed over the nodes (e.g., a spanning tree). We consider well known mechanisms consisting of two components: a prover that assigns a certificate to each node, and a distributed algorithm called a verifier that is in charge of verifying the distributed proof formed by the collection of all certificates. We show that many network predicates have distributed proofs offering a high level of redundancy, explicitly or implicitly. We use this remarkable property of distributed proofs to establish perfect tradeoffs between the size of the certificate stored at every node, and the number of rounds of the verification protocol.
KW - Distributed graph algorithms
KW - Distributed verification
KW - Nondeterminism
KW - Proof-labeling schemes
KW - Space-time tradeoffs
UR - http://www.scopus.com/inward/record.url?scp=85092235498&partnerID=8YFLogxK
U2 - 10.1007/s00446-020-00386-z
DO - 10.1007/s00446-020-00386-z
M3 - Article
AN - SCOPUS:85092235498
SN - 0178-2770
JO - Distributed Computing
JF - Distributed Computing
ER -