An Independence Relation for Sets of Secrets

  • Authors:
  • Sara Miner More;Pavel Naumov

  • Affiliations:
  • Department of Mathematics and Computer Science, McDaniel College, Westminster, USA 21157;Department of Mathematics and Computer Science, McDaniel College, Westminster, USA 21157

  • Venue:
  • WoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation
  • Year:
  • 2009

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Abstract

A relation between two secrets, known in the literature as nondeducibility , was originally introduced by Sutherland. We extend it to a relation between sets of secrets that we call independence . This paper proposes a formal logical system for the independence relation, proves the completeness of the system with respect to a semantics of secrets, and shows that all axioms of the system are logically independent.