Calculus of cooperation and game-based reasoning about protocol privacy
Calculus of cooperation and game-based reasoning about protocol privacy
The article introduces a new formal system, the calculus of cooperation, for reasoning about coalitions of players in a certain class of games. The calculus is an extension of the propositional intuitionistic logic that adds a coalition parameter to intuitionistic implication. The system is shown to be sound and complete with respect to a game semantics. One intended application of the calculus of cooperation is the verification of privacy properties in multiparty computation protocols. The article argues that such properties can be established by providing a set of strategies for a non-zero-sum, perfect information game based on the protocol. It concludes with several examples of such verifications formalized in the calculus of cooperation.
Formal Verification, Games, Intuitionistic logic, Multiparty computation, Privacy
More, Sara Miner
979b2749-1732-4a36-abda-64b4f6899ea9
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
28 August 2012
More, Sara Miner
979b2749-1732-4a36-abda-64b4f6899ea9
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
More, Sara Miner and Naumov, Pavel
(2012)
Calculus of cooperation and game-based reasoning about protocol privacy.
ACM Transactions on Computational Logic, 13 (3), [22].
(doi:10.1145/2287718.2287722).
Abstract
The article introduces a new formal system, the calculus of cooperation, for reasoning about coalitions of players in a certain class of games. The calculus is an extension of the propositional intuitionistic logic that adds a coalition parameter to intuitionistic implication. The system is shown to be sound and complete with respect to a game semantics. One intended application of the calculus of cooperation is the verification of privacy properties in multiparty computation protocols. The article argues that such properties can be established by providing a set of strategies for a non-zero-sum, perfect information game based on the protocol. It concludes with several examples of such verifications formalized in the calculus of cooperation.
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Published date: 28 August 2012
Keywords:
Formal Verification, Games, Intuitionistic logic, Multiparty computation, Privacy
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Local EPrints ID: 475896
URI: http://eprints.soton.ac.uk/id/eprint/475896
ISSN: 1529-3785
PURE UUID: bbf9a033-dddf-42b7-b3c7-159a70ca4127
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Date deposited: 30 Mar 2023 16:31
Last modified: 17 Mar 2024 04:10
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Author:
Sara Miner More
Author:
Pavel Naumov
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