This paper gives a semantic description of two operations in neural systems which may allow a formal bridge from theoretical neuroscience to quantum logic. This research is part of an ongoing effort to develop foundational mathematics in neurobiology to give insight into sensorimotor coordination, that is, the neural control of movement that is coordinated with the senses. Using a formalism developed for analyzing sensorimotor coordination, conditional dynamics, control structures for several sensorimotor behaviors - some of clinical significance - have been proposed. A particular form, the dyad, has arisen repeatedly, giving rise to the question: Can any sensorimotor control system for everyday complex movements be generated from a primitive control system? This paper opens the discussion by proposing a primitive control system and two operations, budding and coupling, for building more complicated control structures. Mathematical (syntactic) and empirical questions arising from this approach are discussed.