Electronic voting promises the possibility of a convenient, efficient and secure facility for recording and tallying votes in an election. Recently highlighted inadequacies of implemented systems have demonstrated the importance of formally verifying the underlying voting protocols. We study three privacy-type properties of electronic voting protocols: in increasing order of strength, they are vote-privacy, receipt-freeness, and coercionresistance.We use the applied pi calculus, a formalism well adapted to modelling such protocols, which has the advantages of being based on well-understood concepts. The privacy-type properties are expressed using observational equivalence and we show in accordance with intuition that coercion-resistance implies receipt-freeness, which implies vote-privacy.We illustrate our definitions on three electronic voting protocols from the literature. Ideally, these three properties should hold even if the election officials are corrupt. However, protocols that were designed to satisfy receipt-freeness or coercion-resistance may not do so in the presence of corrupt officials. Our model and definitions allow us to specify and easily change which authorities are supposed to be trustworthy.Key words: voting protocol, applied pi calculus, formal methods, privacy and anonymity properties. This work has been partly supported by the EPSRC projects EP/E029833, Verifying Properties in Electronic Voting Protocols and EP/E040829/1, Verifying anonymity and privacy properties of security protocols, the ARA SESUR project AVOTÉ and the ARTIST2 NoE.

No abstract

Abstract. Electronic voting promises the possibility of a convenient, efficient and secure facility for recording and tallying votes in an election. Recently highlighted inadequacies of implemented systems have demonstrated the importance of formally verifying the underlying voting protocols. The applied pi calculus is a formalism for modelling such protocols, and allows us to verify properties by using automatic tools, and to rely on manual proof techniques for cases that automatic tools are unable to handle. We model a known protocol for elections known as FOO 92 in the applied pi calculus, and we formalise three of its expected properties, namely fairness, eligibility, and privacy. We use the ProVerif tool to prove that the first two properties are satisfied. In the case of the third property, ProVerif is unable to prove it directly, because its ability to prove observational equivalence between processes is not complete. We provide a manual proof of the required equivalence.

No abstract

properties are essential in formal verification of cryptographic protocols. They are needed to model anonymity properties, strong versions of confidentiality, and resistance against offline guessing attacks. Indistinguishability properties can be conveniently modeled as equivalence properties. We present a novel procedure to verify equivalence properties for a bounded number of sessions of cryptographic protocols. As in the applied pi calculus, our protocol specification language is parametrized by a first-order sorted term signature and an equational theory that allows formalization of algebraic properties of cryptographic primitives. Our procedure is able to verify trace equivalence for determinate cryptographic protocols. On determinate protocols, trace equivalence coincides with observational equivalence, which can therefore be automatically verified for such processes. When protocols are not determinate, our procedure can be used for both under-and over-approximations of trace equivalence, which proved successful on examples. The procedure can handle a large set of cryptographic primitives, namely those whose equational theory is generated by an optimally reducing convergent rewrite system. The procedure is based on a fully abstract modelling of the traces of a bounded number of sessions of the protocols into first-order Horn clauses on which a dedicated resolution procedure is used to decide equivalence properties. We have shown that our procedure terminates for the class of subterm convergent equational theories. Moreover, the procedure has been implemented in a prototype tool Active Knowledge in Security Protocols and has been effectively tested on examples. Some of the examples were outside the scope of existing tools, including checking anonymity of an electronic voting protocol due to Okamoto.

We present a symbolic definition of election verifiability for electronic voting protocols in the context of the applied pi calculus. Our definition is given in terms of boolean tests which can be performed on the data produced by an election. The definition distinguishes three aspects of verifiability, which we call individual verifiability, universal verifiability, and eligibility verifiability. It also allows us to determine precisely which aspects of the system's hardware and software must be trusted for the purpose of election verifiability. In contrast with earlier work our definition is compatible with a large class of electronic voting schemes, including those based on blind signatures, homomorphic encryption and mixnets. We demonstrate the applicability of our formalism by analysing two protocols which have been deployed; namely Helios 2.0, which is based on homomorphic encryption, and Civitas, which uses mixnets. In addition we consider the FOO protocol which is based on blind signatures.

In this paper we formally study important Lee et al. voting protocol.

No abstract