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Radio Frequency Identification (RFID) has been developed as an important technique for many high security and high integrity settings. In this paper, we study survivability issues for RFID. We first present an RFID survivability experiment to define a foundation to measure the degree of survivability of an RFID system under varying attacks. Then we model a series of malicious scenarios using stochastic process algebras and study the different effects of those attacks on the ability of the RFID system to provide critical services even when parts of the system have been damaged. Our simulation model relates its statistic to the attack strategies and security recovery. The model helps system designers and security specialists to identify the most devastating attacks given the attacker's capacities and the system's recovery abilities. The goal is to improve the system survivability given possible attacks. Our model is the first of its kind to formally represent and simulate attacks on RFID systems and to quantitatively measure the degree of survivability of an RFID system under those attacks.