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.
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Amtoft Torben, Banerjee Anindya: ‘A logic for information flow analysis with an application to forward slicing of simple imperative programs’. Sci. Comput. Program 64(1), 3–28 (2007)
Cohen, Ellis, ‘Information transmission in computational systems’, in Proceedings of Sixth ACM Symposium on Operating Systems Principles, Association for Computing Machinery, 1977, pp. 113–139.
Geiger Dan, Paz Azaria, Pearl Judea: ‘Axioms and algorithms for inferences involving probabilistic independence’. Inform. and Comput. 91((1), 128–141 (1991)
Goguen, Joseph A., and José Meseguer , ‘Security policies and security models’, in Proceedings of IEEE Symposium on Security and Privacy, 1982, pp. 11–20.
Halpern, Joseph Y., and Kevin R. O’Neill, ‘Secrecy in multiagent systems’, in Proceedings of the Fifteenth IEEE Computer Security Foundations Workshop, 2002, pp. 32–46.
Halpern Joseph Y., O’Neill Kevin R.: ‘Secrecy in multiagent systems’, ACM Trans. Inf. Syst. Secur., 12(1), 1–47 (2008) (originally appeared as [5])
MacKenzie Donald: Mechanizing Proof: Computing, Risk, and Trust. MIT Press, (2004)
Miner More, Sara, and Pavel Naumov, ‘An independence relation for sets of secrets’, in H. Ono, M. Kanazawa, and R. de Queiroz, (eds.), Proceedings of 16th Workshop on Logic, Language, Information and Computation (Tokyo, 2009), LNAI 5514, Springer, 2009, pp. 296–304.
Miner More, Sara, and Pavel Naumov, ‘On interdependence of secrets in collaboration networks’, in Proceedings of 12th Conference on Theoretical Aspects of Rationality and Knowledge (Stanford University, 2009), 2009, pp. 208–217.
Sabelfeld Andrei, Myers Andrew C.: ‘Language-based information-flow security’. IEEE Journal on Selected Areas in Communications 211, 5–19 (2003)
Sutherland, David, ‘A model of information’, in Proceedings of Ninth National Computer Security Conference, 1986, pp. 175--183.
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More, S.M., Naumov, P. An Independence Relation for Sets of Secrets. Stud Logica 94, 73–85 (2010). https://doi.org/10.1007/s11225-010-9223-0
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DOI: https://doi.org/10.1007/s11225-010-9223-0