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A ternary knowledge relation on secrets

A ternary knowledge relation on secrets
A ternary knowledge relation on secrets
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.
completeness, information flow, knowledge, secret
46-54
More, Sara Miner
979b2749-1732-4a36-abda-64b4f6899ea9
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Nicholls, Brittany
47ed5b74-5992-4a08-8edb-357f6c0dd0bb
Yang, Andrew
3edcbccf-8219-49f7-be96-7dd1a7c37849
More, Sara Miner
979b2749-1732-4a36-abda-64b4f6899ea9
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Nicholls, Brittany
47ed5b74-5992-4a08-8edb-357f6c0dd0bb
Yang, Andrew
3edcbccf-8219-49f7-be96-7dd1a7c37849

More, Sara Miner, Naumov, Pavel, Nicholls, Brittany and Yang, Andrew (2011) A ternary knowledge relation on secrets. In TARK XIII: Theoretical Aspects of Rationality and Knowledge - Proceedings of the 13th Conference, TARK 2011. pp. 46-54 . (doi:10.1145/2000378.2000384).

Record type: Conference or Workshop Item (Paper)

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.

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More information

Published date: 12 July 2011
Venue - Dates: 13th Conference on Theoretical Aspects of Rationality and Knowledge, TARK 2011, , Groningen, Netherlands, 2011-07-12 - 2011-07-14
Keywords: completeness, information flow, knowledge, secret
Learn more about Agents, Interactions and Complexity research

Identifiers

Local EPrints ID: 475895
URI: http://eprints.soton.ac.uk/id/eprint/475895
DOI: doi:10.1145/2000378.2000384
PURE UUID: b1043493-c5a0-4566-b2bf-01e1edb37478
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 30 Mar 2023 16:30
Last modified: 17 Mar 2024 04:10

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Contributors

Author: Sara Miner More
Author: Pavel Naumov ORCID iD
Author: Brittany Nicholls
Author: Andrew Yang

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