Superclass

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Abstract: Inheritance is one of the key issues of object-orientation. The inheritance mechanism allows for the definition of a subclass which inherits the features of a specific superclass. This means that methods and attributes defined for the superclass are also available for objects of the subclass. Existing methods for object-oriented modeling and design abstract from the dynamic behavior of objects when defining inheritance. Nevertheless, it would be useful to have a mechanism which allows for the inheritance of dynamic behavior. This paper describes a Petri-net-based approach to the formal specification and verification of this type of inheritance. We use Petri nets to specify the dynamics of an object class. The Petri-net formalism allows for a graphical representation of the life cycle of objects which belong to a specific object class. Four possible inheritance relations are defined. These inheritance relations can be verified automatically. Moreover, four powerful transformation rules which preserve specific inheritance relations are given. To illustrate the relevance of these results, the application to workflow management is demonstrated.

Abstract: In this paper, we argue that object-oriented models must be able to represent three kinds of taxonomic structures: static subclasses, dynamic subclasses and role classes. If CAR is a static subclass of VEHICLE, then a vehicle that is not a car can never migrate to the CAR subclass. If EMPloyee is a dynamic subclass of PERSON, then a PERSON that is not an employee may migrate to EMP. In both cases, an instance of the subclass is identical to an instance of the superclass. Finally, if EMP is modeled as a role class of PERSON every employee differs from every person, but a PERSON instance can acquire one or more EMP instances as roles. We outline an approach to formalizing these taxonomic structures in order-sorted dynamic logic with equality.