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Automated Symbolic Verification of Telegram's MTProto 2.0

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arxiv 2012.03141 v2 pith:5JNPAYXY submitted 2020-12-05 cs.CR

classification cs.CR
keywords mtprotoauthenticationautomatedchatcryptographicpropertiesprotocolrekeying
verification ladder T0 review T1 audit T2 compute T3 formal

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MTProto 2.0 is a suite of cryptographic protocols for instant messaging at the core of the popular Telegram messenger application. In this paper we analyse MTProto 2.0 using the symbolic verifier ProVerif. We provide fully automated proofs of the soundness of MTProto 2.0's authentication, normal chat, end-to-end encrypted chat, and rekeying mechanisms with respect to several security properties, including authentication, integrity, secrecy and perfect forward secrecy; at the same time, we discover that the rekeying protocol is vulnerable to an unknown key-share (UKS) attack. We proceed in an incremental way: each protocol is examined in isolation, relying only on the guarantees provided by the previous ones and the robustness of the basic cryptographic primitives. Our research proves the formal correctness of MTProto 2.0 w.r.t. most relevant security properties, and it can serve as a reference for implementation and analysis of clients and servers.

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