Abstract
We develop an analysis of the Needham-Schroeder public key protocol in the framework of membrane computing. This analysis is used to validate the protocol and exhibits, as expected, a well known logical attack. The novelty of our approach is to use multiset rewriting in a nest of membranes. The use of membranes enables us to make airtight the conditions for detecting an attack. The approach has been validated by developing a full implementation for several versions of the analysis.
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References
J.-P. Banâtre, P. Fradet, D. Le Métayer: Gamma and the Chemical Reaction Model: Fifteen Years After. In Multiset Procssing. Mathematical, Computer Science, and Molecular Computing Points of View (C.S. Calude, Gh. Păun, G. Rozenberg, A. Salomaa, eds.), LNCS 2235, Springer, Berlin, 2001, 17–44.
P. Borovansky, C. Kirchner, H. Kirchner, P.E. Moreau, M. Vittek: ELAN — A Logical Framework Based on Computational Systems. Electronic Notes in Theoretical Computer Science, 4 (1996).
M. Clavel, F. Durán, S. Eker, P. Lincoln, N. Martí-Oliet, J. Meseguer, J.F. Quesada: The Maude System. LNCS 1631, Springer, Berlin, 1999, 240–243
I. Cervesato, N. Durgin, P.D. Lincoln, J.C. Mitchell, A. Scedrov: A Meta-Notation for Protocol Analysis. In Proc. 12th IEEE Computer Security Foundations Workshop (CSFW1999), Mordano, Italy, 55–69.
H. Cirstea: Specifying Authentication Protocols Using ELAN. In Workshop on Modeling and Verification, 1999.
D.L. Dill, A.J. Drexler, A.J. Hu, C.H. Yang: Protocol Verification as a Hardware Design Aid. In International Conference on Computer Design, VLSI in Computers and Processors (ICCD1992), 522–525, Los Alamitos, Ca., USA, 522–525.
G. Denker, J. Meseguer, C. Talcott: Protocol Specification and Analysis in Maude. In Workshop on Formal Methods and Security Protocols, 1998.
D. Dolev, A. Yao: On the Security of Public Key Protocols. IEEE Transactions on Information Theory, IT-29, 2 (1983), 198–208.
J.-L. Giavitto: Topological Collections, Transformations and Their Application to the Modeling and the Simulation of Dynamical Systems. In Rewriting Technics and Applications (RTA’ 03), LNCS 2706, Springer, Berlin, 2003, 208–233.
J.-L. Giavitto, O. Michel: The Topological Structures of Membrane Computing. Fundamenta Informaticae, 49 (2002), 107–129.
J.-L. Giavitto, G. Malcolm, O. Michel: Rewriting Systems and the Modeling of Biological Systems. Comparative and Functional Genomics, 5 (2004), 95–99.
S. Peyton Jones, C. Hall, K. Hammond, W. Partain, P. Wadler: The Glasgow Haskell Compiler: A Technical Overview. In Joint Framework for Information Technology Technical Conference, 1993.
A. Huima: Efficient Infinite-State Analysis of Security Protocols. In Proceedings of FLOC’99 Workshop on Formal Methods and Security Protocols, 1999.
F. Jacquemard, M. Rusinowitch, L. Vigneron: Compiling and Verifying Security Protocols. In Logic for Programming and Automated Reasoning (LPAR’ 00), LNCS 1955, Springer, Berlin, 2000.
X. Leroy: The Objective CAML System, Release 3.07. Documentation and User’s Manual. Technical report, INRIA, 2004.
G. Lowe: An Attack on the Needham-Schroeder Public Key Authentication Protocol. Information Processing Letters, 56,3 (1995).
C.A. Meadows: The NRL Protocol Analyzer: An Overview. Journal of Logic Programming, 26,2 (1995), 113–131.
J.K. Millen, S.C. Clark, S.B. Freedman: The Interrogator: Protocol Security Analysis. IEEE Transactions on Software Engineering, SE-13, 2 (1987).
O. Michel, F. Jacquemard: An Analysis of the Needham-Schroeder Public Key Protocol with MGS. In Pre-Proceedings of Fifth Workshop on Membrane Computing (WMC5), Milano, 2004, 295–315.
O. Michel, F. Jacquemard, J.-L. Giavitto: Three Variations on the Analysis of the Needham-Schroeder Public Key Protocol with MGS. Technical Report LaMI-98-2004, Univ. d’Évry-CNRS, 2004, 25 pages.
J. Mitchell, M. Mitchell, U. Stern: Automated Analysis of Cryptographic Protocols Using Murphi. In Proceedings of the IEEE Symposium on Security and Privacy, 1997, 141–151.
R.M. Needham, M.D. Schroeder: Using Encryption for Authentication in Large Networks of Computers. Communications of the ACM, 21,12 (1978), 993–999.
Gh. Păun: Membrane Computing. An Introduction. Springer, Berlin, 2002.
M. Rusinowitch, M. Turuani: Protocol Insecurity with Finite Number of Sessions is NP-Complete. In Proceedings of the 14th Computer Security Foundations Workshop (CSFW2001), 174–190.
C. Weidenbach: Towards an Automatic Analysis of Security Protocols in First-Order Logic. LNCS 1632, Springer, Berlin, 1999, 378–382.
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Michel, O., Jacquemard, F. (2006). An Analysis of a Public Key Protocol with Membranes. In: Ciobanu, G., Păun, G., Pérez-Jiménez, M.J. (eds) Applications of Membrane Computing. Natural Computing Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-29937-8_10
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DOI: https://doi.org/10.1007/3-540-29937-8_10
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