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This article describes the relationship between network search space, search strategies and search logic with logical language. The logical property of complex network search algorithm is determined by the initial state (the search state) and the search strategy of complex network space, which can be defined logically. The article also presents the definition of complex network search states set and its relationship with first-order modal predicate logic. All possible network search state setsdoi:10.2174/1874110x01509012681 fatcat:my7gxez6g5g33lhycpcojiwsie