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Authentication is one of the biggest issues concerning information security in the context of distributed environments. Various protocols are used for the authentication purpose such as Needham-Schroeder, Kerberos protocol etc. The aim of this paper is to verify and formalize the Kerberos protocol using NuSMV model checker. The protocol version used in this paper is Kerberos version 4. The paper suggests CTL specifications for authentication, secrecy and integrity. We have also proposed an approach to identify presence of intruder in the system.