Until now, no formal and automated verification methods have been proposed for network management protocols and they have been analyzed only with informal techniques or with symbolic methods which is a hard, time-consuming and error-prone task when done by hand. Hence, in this paper, we first describe the SNMPv3 protocol and propose an abstract model of it to formalize our understanding of SNMP, and provide a specification of SNMPv3 in the applied π-calculus