Intermittent motion, called stick-slip, is a friction instability that commonly occurs during relative sliding of two elastic solids. In adhesive polymer contacts, where elasticity and interface adhesion are strongly coupled, stick-slip results from the propagation of slow detachment waves at the interface. Using in situ imaging experiments at an adhesive contact, we show the occurrence of two distinct detachment waves moving parallel (Schallamach wave) and anti-parallel (separation wave) to the applied remote sliding. Both waves cause slip in the same direction and travel at speeds much lesser than any elastic wave speed. We use an elastodynamic framework to describe the propagation of these slow detachment waves at an elastic-rigid interface and obtain governing integral equations in the low wave speed limit. These integral equations are