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 sets

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... n the search strategy can be described with first-order modal predicate logic. Analysis of network search state properties lays a good foundation for the intelligentization of complex network search processes in the future. © Arxiden et al.; Licensee Bentham Open. This is an open access article licensed under the terms of the (https://creativecommons.org/licenses/by/4.0/legalcode), which permits unrestricted, noncommercial use, distribution and reproduction in any medium, provided the work is properly cited.