In the wake of recent revelations of mass government surveillance, secure messaging protocols have come under renewed scrutiny. A widespread weakness of existing solutions is the lack of strong deniability properties that allow users to plausibly deny sending messages or participating in conversations if the security of their communications is later compromised. Deniable authenticated key exchanges (DAKEs), the cryptographic protocols responsible for providing deniability in secure messaging applications, cannot currently provide all desirable properties simultaneously. We introduce two new DAKEs with provable security and deniability properties in the Generalized Universal Composability frame