From Action Systems to Modular Systems

. Action systems are used to extend program refinement methods for sequential programs, as described in the refinement calculus, to parallel and reactive system refinement. They provide a general description of reactive systems, capable of modeling terminating, possibly aborting and infinitely repeating systems. We show how to extend the action system model to refinement of modular systems. A module may export and import variables, it may provide access procedures for other modules, and it may itself access procedures of other modules. Modules may have autonomous internal activity and may execute in parallel or in sequence. Modules may be nested within each other. They may communicate by shared variables, shared actions, a generalized form of remote procedure calls and by persistent data structures. Both synchronous and asynchronous communication between modules is supported. The paper shows how a single framework can be used for both the specification of large systems, the modular de..