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The use of three-valued signals in the design of asynchronous speed-independent modules is considered. The three-valued Post algebra is used as the mathematical basis for multivalued logic design. Asynchronous operation in a three-valued system is defined. Basis data/control signal detectors and control primitives are developed. It is shown that the design of the nonbinary modules only requires the use of standard binary design techniques and the detectors and logic primitives that are developed. A general monitoring and control structure that allows the interconnection of both combinational and sequential modules is described.