A ternary knowledge relation on secrets

  • Authors:
  • Sara Miner More;Pavel Naumov;Brittany Nicholls;Andrew Yang

  • Affiliations:
  • McDaniel College, Westminster, Maryland;McDaniel College, Westminster, Maryland;McDaniel College, Westminster, Maryland;McDaniel College, Westminster, Maryland

  • Venue:
  • Proceedings of the 13th Conference on Theoretical Aspects of Rationality and Knowledge
  • Year:
  • 2011

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Abstract

The paper introduces and studies the ternary relation "secret a reveals at least as much information about secret c as secret b." In spite of its seeming simplicity, this relation has many non-trivial properties. The main result is a complete infinite axiomatization of the propositional theory of this relation.