  We prove that every variety with log-terminal singularities admits a crepant
resolution by a smooth Artin stack. We additionally prove new McKay
correspondences for resolutions by Artin stacks, expressing stringy invariants
of $\mathbb{Q}$-Gorenstein varieties in terms of motivic integrals on arc
spaces of smooth stacks. In the crepant case, these McKay correspondences are
particularly simple, demonstrating one example of the utility of crepant
resolutions by Artin stacks.
