A system for controlling a swarm that includes a plurality of autonomous objects may include a processing system and a controller. The processing system may compute the primitives to be applied to each pair of objects in the swarm, and may combine the primitives to generate higher-level primitives. The processing system may generate a graph of the computed primitives, and identify the cliques in the graph. The controller may cause the primitives to be applied between each pair of objects in the swarm, and cause each object to maximize its respective set of primitives so as to induce the desired group behavior. The controller may detect the desired group behavior in the swarm by monitoring the primitives computed by the processing system and the cliques identified by the processing system.