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Threshold logic is a computational model widely used in the design of resonant tunnelling diodes (RTDs) based circuits, i.e. these circuits are built from threshold gates. This paper explores two other computational models, generalized threshold gates (GTG) and multi-threshold threshold gates (MTTGs), also suitable to be realized with mobile based RTD structures. Circuits implementing them are described. Both logic models are generalizations of threshold logic and so the proposed circuit topologies further increase the functionality of the original TGs. Implementations of a non threshold function with the GTG and MTTG topologies are shown and compared.