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Extentics is a new discipline that studies the methods for dealing with contradictory problems. This paper gives a solution of attack defense of survivable network based on this theory. The basic knowledge of extension theory is introduced and the inspiration from it to the authors' problem is illustrated. The contradictory characteristic of survivability of borderless network is explained. The extension model and algorithms of recognition and resistance of attacks is presented. The definitions of element, including message matter-element, defense affair-element, node relation-element and inform mixture-element, are given. The dependent function based on lateral distance with the most advantage point occurs in the left common endpoint, is constructed to solve the problem and its properties are discussed.
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