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Memristor is an enabling device with non-volatile resistance, low power consumption, high durability, ease of integration, and CMOS compatibility. The stateful logic of memristors can realize the true fusion of computing and storage, and is complete in logic, which is expected to break the limitation of Von Neumann architecture and effectively alleviate the memory wall bottleneck. These excellent properties gain memristors great interest from academia and industry. In light of this, this paper summarizes the research progress of application-oriented computing storage fusion architecture based on stateful logic. Firstly, the implementation principle and improvement method of state logic are analyzed in detail. Secondly, the state logic design based on the memristor crossbar is reviewed, including the parallel implementation of the basic logics, copy operation and comparison operation, and then the design principle and implementation structure of the data storage structure based on the memristors are summarized. The paper then revisits an application-oriented computing storage fusion architecture in detail, and finally summarizes the problems in the research of this direction, and looks forward to the future direction. [ABSTRACT FROM AUTHOR]