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Hypergraphs of multiparty secrets

Hypergraphs of multiparty secrets
Hypergraphs of multiparty secrets
The paper considers interdependencies between secrets in a multiparty system. Each secret is assumed to be known only to a certain fixed set of parties. These sets can be viewed as edges of a hypergraph whose vertices are the parties of the system. The main result is a complete and decidable logical system that describes interdependencies that may exist on a fixed hypergraph. The properties of interdependencies are defined through a multi-argument relation called independence, which is a generalization of a binary relation also known as nondeducibility.
0302-9743
15-32
Springer
Miner More, Sara
beaf43e1-66cd-4f05-a95a-3136738051fe
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Miner More, Sara
beaf43e1-66cd-4f05-a95a-3136738051fe
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0

Miner More, Sara and Naumov, Pavel (2010) Hypergraphs of multiparty secrets. In Computational Logic in Multi-Agent Systems - 11th International Workshop, CLIMA XI, Proceedings. vol. 6245 LNAI, Springer. pp. 15-32 . (doi:10.1007/978-3-642-14977-1_5).

Record type: Conference or Workshop Item (Paper)

Abstract

The paper considers interdependencies between secrets in a multiparty system. Each secret is assumed to be known only to a certain fixed set of parties. These sets can be viewed as edges of a hypergraph whose vertices are the parties of the system. The main result is a complete and decidable logical system that describes interdependencies that may exist on a fixed hypergraph. The properties of interdependencies are defined through a multi-argument relation called independence, which is a generalization of a binary relation also known as nondeducibility.

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More information

Published date: 17 August 2010
Venue - Dates: 11th International Workshop on Computational Logic in Multi-Agent Systems, CLIMA XI, , Lisbon, Portugal, 2010-08-16 - 2010-08-17

Identifiers

Local EPrints ID: 475993
URI: http://eprints.soton.ac.uk/id/eprint/475993
ISSN: 0302-9743
PURE UUID: 7163eb57-b9d5-4871-8403-5ba8f855c324
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

Catalogue record

Date deposited: 03 Apr 2023 16:55
Last modified: 06 Jun 2024 02:12

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Contributors

Author: Sara Miner More
Author: Pavel Naumov ORCID iD

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