Sound Computational Interpretation of Formal Encryption with Composed Keys

The formal and computational views of cryptography have been related by the seminal work of Abadi and Rogaway. In their work, a formal treatment of encryption that uses atomic keys is justified in the computational world. However, many proposed formal approaches allow the use of composed keys, where any arbitrary expression can be used as encryption key. We consider an extension of the formal model presented by Abadi and Rogaway, in which it is allowed to use composed keys in formal encryption. We then provide a computational interpretation for expressions that allow us to establish the computational soundness of formal encryption with composed keys

Computational Soundness of Formal Encryption in Coq

We formalize Abadi and Rogaway's computational soundness result in the Coq interactive theorem prover. This requires to model notions of provable cryptography like indistinguishability between ensembles of probability distributions, PPT reductions, and security notions for encryption schemes. Our formalization is the first computational soundness result to be mechanized, and it shows the feasibility of rigorous reasoning of computational cryptography inside a generic interactive theorem prover

Explicit Solution By Radicals, Gonal Maps and Plane Models of Algebraic Curves of Genus 5 or 6

We give explicit computational algorithms to construct minimal degree (always $\le 4$) ramified covers of \Prj^1 for algebraic curves of genus 5 and 6. This completes the work of Schicho and Sevilla (who dealt with the $g \le 4$ case) on constructing radical parametrisations of arbitrary genus $g$ curves. Zariski showed that this is impossible for the general curve of genus $\ge 7$. We also construct minimal degree birational plane models and show how the existence of degree 6 plane models for genus 6 curves is related to the gonality and geometric type of a certain auxiliary surface.Comment: v3: full version of the pape

An Improved Constraint-based system for the verification of security protocols

We propose a constraint-based system for the verification of security protocols that improves upon the one developed by Millen and Shmatikov. Our system features (1) a significantly more efficient implementation, (2) a monotonic behavior, which also allows to detect aws associated to partial runs and (3) a more expressive syntax, in which a principal may also perform explicit checks. We also show why these improvements yield a more effective and practical system

A Simple procedure for finding guessing attacks (extended abstract)

A novel procedure for finding guessing attacks in security protocols is presented. The procedure enjoys a simple and intuitive definition, and is easily implementable

Analysis models for security protocols

In this thesis, we present five significant, orthogonal extensions to the Dolev Yao model. Each extension considers a more realistic setting, closer to the real world, thus providing a stronger security guarantee. We provide examples both from the literature and from industrial case studies to show the practical applicability of each extension

PS-LTL for constraint-based security protocol analysis

Several formal approaches have been proposed to analyse security protocols, e.g. [2,7,11,1,6,12]. Recently, a great interest has been growing on the use of constraint solving approach. Initially proposed by Millen and Shmatikov [9], this approach allows analysis of a finite number of protocol sessions. Yet, the representation of protocol runs by symbolic traces (as opposed to concrete traces) captures the possibility of having unbounded message space, allowing analysis over an infinite state space. A constraint is defined as a pair consisting of a message M and a set of messages K that represents the intruder¿s knowledge. Millen and Shmatikov present a procedure to solve a set of constraints, i.e. that in each constraint, M can be built from K. When a set of constraints is solved, then a concrete trace representing an attack over the protocol can be extracted. \ud Corin and Etalle [4] has improved the work of Millen and Shmatikov by presenting a more efficient procedure. However, none of these constraint-based systems provide enough flexibility and expresiveness in specifying security properties. For example, to check secrecy an artificial protocol role is added to simulate whether a secret can be learned by an intruder. Authentication cannot also be checked directly. Moreover, only a built-in notion of authentication is implemented by Millen and Shmatikov in his Prolog implementation [10]. This problem motivates our current work. \ud A logical formalism is considered to be an appropriate solution to improve the flexibility and expresiveness in specifying security properties. A preliminary attempt to use logic for specifying local security properties in a constraint-based setting has been carried out [3]. Inspired by this work and the successful NPATRL [11,8], we currently explores a variant of linear temporal logic (LTL) over finite traces, -LTL, standing for pure-past security LTL [5]. In contrast to standard LTL, this logic deals only with past events in a trace. In our current work, a protocol is modelled as in previous works [9,4,3], viz. by protocol roles. A protocol role is a sequence of send and receive events, together with status events to indicate, e.g. that a protocol role has completed her protocol run. A scenario is then used to deal with the number of sessions and protocol roles considered in the analysis. \ud Integrating -LTL into our constraint solving approach presents a challenge, since we need to develop a sound and complete decision procedure against symbolic traces, instead of concrete traces. Our idea to address this problem is by concretizing symbolic traces incrementally while deciding a formula. Basically, the decision procedure consists of two steps: transform and decide. The former step transforms a -LTL formula with respect to the current trace into a so-called elementary formula that is built from constraints and equalities using logical connectives and quantifiers. The decision is then performed by the latter step through solving the constraints and checking the equalities. \ud Although we define a decision procedure for a fragment of -LTL, this fragment is expressive enough to specify several security properties, like various notions of secrecy and authentication, and also data freshness. We provide a Prolog implementation and have analysed several security protocols. \ud There are many directions for improvement. From the implementation point of view, the efficiency of the decision procedure can still be improved. I would also like to investigate the expressiveness of the logic for speficying other security properties. This may result in an extension of the decision procedure for a larger fragment of the logic. Another direction is to characterize the expressivity power of -LTL compared to other security requirement languages

Crypto-Verifying Protocol Implementations in ML

We intend to narrow the gap between concrete implementations and verified models of cryptographic protocols. We consider protocols implemented in F#, a variant of ML, and verified using CryptoVerif, Blanchet's protocol verifier for computational cryptography. We experiment with compilers from F# code to CryptoVerif processes, and from CryptoVerif declarations to F# code. We present two case studies: an implementation of the Otway-Rees protocol, and an implementation of a simplified password-based authentication protocol. In both cases, we obtain concrete security guarantees for a computational model closely related to executable code

A Logic for Constraint-based Security Protocol Analysis

We propose PS-LTL, a pure-past security linear temporal logic that allows the specification of a variety of authentication, secrecy and data freshness properties. Furthermore, we present a sound and complete decision procedure to establish the validity of security properties for symbolic execution traces, and show the integration with constraint-based analysis techniques