Title
Redundancy In Distributed Proofs
Abstract
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: aproverthat assigns acertificateto each node, and a distributed algorithm called averifierthat 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 thesize of the certificatestored at every node, and thenumber of roundsof the verification protocol.
Year
DOI
Venue
2021
10.1007/s00446-020-00386-z
DISTRIBUTED COMPUTING
Keywords
DocType
Volume
Distributed verification, Distributed graph algorithms, Proof-labeling schemes, Space-time tradeoffs, Nondeterminism
Journal
34
Issue
ISSN
Citations 
2
0178-2770
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Laurent Feuilloley1196.49
Pierre Fraigniaud22849220.78
Juho Hirvonen310611.81
Ami Paz4183.92
Mor Perry501.01