In this project, we want to further develop a printable memristor technology with reduced device variations and investigate circuit architectures for in-memory computing based on it. Printed memristors have been increasingly researched technologically in recent years, as they promise fast, low-power solutions for storage and in-memory computing structures in the immediate vicinity of flexible sensory applications (similar to edge computing). In particular, printed memristors can exhibit switching times in the 100 nanosecond range, which is several orders of magnitude faster than typical switching times of fully printed thin film transistors. Our approach is based on inorganic materials consisting of metal oxides with molecular additives for reduced device variations and conductive inks, which allows the experimental group (Aghassi-Hagmann, KIT) to fabricate digital bipolar switching memristors. These devices will then be integrated in circuits, mainly in cross-bar array structures. With the new concepts and modeling methods for stateful logic of the theoretical working group of Nima Taherinejad, Uni HD, we want to design the basic building blocks for stateful logic in close cooperation and an interlinked work program between device fabriacation, behavior modeling, design, extended simulation of variability and endurance. The purpose is to implement them as printed general logic modules. For this we examine different architectures (IMPLY, MAGIG, FELIX OR, SIXOR) and will merge them into more complex sub-units for a sorting circuit. Hardware implementations of this complexity with precise knowledge and the possibility of adapting the technology used (printed inorganic electronics) promise unique opportunities for the research and understanding of new stateful logic as well as a high application potential in the fields of robotics, medical technology and sensor technologies involving printable electronics.