A key element of the security systems in computer networks are cryptographic protocols (CP). These protocols are concurrent algorithms used to provide relevant system security goals. Their main purpose is, for example, amutual authentication (identification) of communicating parties (users, servers), distribution of new keys and session encryption. Literature indicates numerous errors in protocol constructions. Thus, there is a need to create methods for CP specification and verification. In this paper, we investigate a problem of CP specification. The paper discusses the so-called Common Language - the simplest language of CP specification and HLPSL - a specification language used in the European verification project Avispa. Finally, we introduce PTL - the new language developed for CP specification which allows fully automatic verification.
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