  We demonstrate the existence of an interference contribution to the average
magnetoconductance, G(B), of ballistic cavities and use it to test the
semiclassical theory of quantum billiards. G(B) is qualitatively different for
chaotic and regular cavities, an effect explained semiclassically by the
differing classical distribution of areas. The magnitude of G(B) is poorly
explained by the semiclassical theory of coherent backscattering (elastic
enhancement factor)-- correlations beyond time-reversed pairs of trajectories
must be included-- but is in agreement with random matrix theory.
