Besides affording a way of modeling deviations from canonical morphotactics, rule composition makes it possible to see apparently recalcitrant morphotactic patterns as conforming to canonical criteria if these are assumed to cover composite rules as well as simple rules. I examine an apparent deviation from the integral stem criterion in Sanskrit and apparent deviations from the rule opposition criterion in Latin, Limbu, and Sanskrit. Each of these phenomena can be reconciled with the canonical criterion from which it apparently deviates if this criterion is assumed to cover composite rules as well as simple rules. All of these are cases in which deviation from the minimal rule criterion facilitates conformity to other canonical morphotactic criteria.