The functional dependence relation on hypergraphs of secrets

  • Authors:
  • Sara Miner More;Pavel Naumov

  • Affiliations:
  • Department of Mathematics and Computer Science, McDaniel College, Westminster, Maryland;Department of Mathematics and Computer Science, McDaniel College, Westminster, Maryland

  • Venue:
  • CLIMA'11 Proceedings of the 12th international conference on Computational logic in multi-agent systems
  • Year:
  • 2011

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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. In previous work, the authors investigated properties of interdependencies that are expressible through a multi-argument relation called independence, which is a generalization of a binary relation also known as nondeducibility. This work studies properties expressible through functional dependence. The main result is a complete and decidable logical system that describes interdependencies on a fixed hypergraph.