Interface theories for component-based design

We classify component-based models of computation into component models and interface models. A component model specifies for each component howthe component behaves in an arbitrary environment; an interface model specifies for each component what the component expects from the environment. Component models support compositional abstraction, and therefore component-based verification. Interface models support compositional refinement, and therefore componentbased design. Many aspects of interface models, such as compatibility and refinement checking between interfaces, are properly viewed in a gametheoretic setting, where the input and output values of an interface are chosen by different players.