Formal Models and Techniques for Analyzing Security by V. Cortier, S. Kremer

By V. Cortier, S. Kremer

Protection protocols are the small disbursed courses that are omnipresent in our day-by-day lives in components comparable to on-line banking and trade and cell phones. Their function is to maintain our transactions and private info safe. simply because those protocols are in most cases applied on very likely insecure networks just like the net, they're notoriously tough to plan. the sector of symbolic research of defense protocols has noticeable major advances over the past few years. there's now a greater realizing of decidability and complexity questions and profitable computerized instruments for the availability of protection and prevention of assault were utilized to various protocols, together with commercial protocols. types were prolonged with algebraic houses to weaken the proper cryptography assumption or even computational soundness effects in the direction of cryptographic types were completed. What was once nonetheless lacking, although, was once a ebook which summarized the cutting-edge of those advances. while this booklet doesn't fake to provide a whole assessment of the sector - whatever which might be most unlikely in one quantity - it does, however, conceal a consultant pattern of the continued paintings during this box, that's nonetheless very energetic. The e-book includes an advent and ten tutorial-like chapters on chosen issues, every one written by means of a number one specialist, and may be of curiosity to all these fascinated with the formal research of safeguard protocols.
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Additional resources for Formal Models and Techniques for Analyzing Security Protocols - Volume 5 Cryptology and Information Security Series

Example text

These function symbols allow us to represent crypto- H. Comon-Lundh et al. / Constraint Solving Techniques and Enriching the Model 37 graphic primitives. Here is a sampling of typical function symbols. We will not use all of them. ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ pairing and projections: ⟨????, ????⟩, ????1 (????), and ????2 (????); symmetric encryption/decryption: {∣????∣}s???? , and {∣????∣}−s ???? ; asymmetric encryption/decryption: {∣????∣}a???? , and {∣????∣}−a ???? ; private and public keys for asymmetric encryption: dk(????), and pk(????).

Moreover, even allowing inequalities is possible : since in each attack at most a polynomial number of inequalities can be performed, at most a polynomial number of nonces are required, and thus, they can be picked up from the (finite) set of Atoms. This implies that in the finite session case, the intruder does not gain any power by creating nonces. We can summarize the known results in the Table 3. g. in [5,6,16]. References [1] R. Amadio and D. Lugiez. On the reachability problem in cryptographic protocols.

Turuani / Verifying a Bounded Number of Sessions and Its Complexity 23 Proof: Let ???? = ???????????????????????? (????) = ????0 →????1 ????1 ... →???????? ???????? and ????′ be (one of) the first occuring term not validating the lemma for ????, assuming there exists one (or more). ????????−1 , and for all ???????? (????) ∈ ????1 , ???? is a subterm of ????. (Note: ???? > 1 since ????′ ∈ / ????) Moreover, by minimality of ???? we have ???????? (????′ ) ∕∈ ????. e. there exists a term ???? with ????′ subterm of ???? such that ???????? (????) ∈ ????1 . However, thanks to the minimality of ????′ , this means that ???? is a subterm of ????, and thus ????′ too.

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