An object-oriented real-time systems conceptual modeling approach is described. In this approach, each object is specified by an object type, consisting of supertypes (inheritance), component types (aggregation), attributes, operations, static constraints and timed temporal constraints. An object type specification defines a theory of a type of objects. In particular, the static constraints define the valid states of the objects, the operations define the valid state transitions, each consisting of a set of execution rules. Each execution rule consists of a precondition and a postcondition. The timed temporal constraints define the permissible sequences of state transitions. Atomic and composite object state diagrams (AOSDs and COSDs) are then constructed from a formal specification for verification of the satisfiability of the timed temporal constraints.
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