Symbolic Animation of JML Specifications

A Formal Model of Conformity Testing of Inheritance for Object Oriented Constraint Programming

“…We consider a method m of a class C 2 which inherits from the class C 1 such that m overrides a method of C 1 . The original method and its overriding method in the subclass C 2 will be denoted respectively by m (1) ,m (2) . (P (1) ,Q (1) ) denote respectively the pre-condition, the postcondition of the method m (1) ,and Inv (1) the invariant of C 1 ;and (P2',Q2') denote respectively the specific pre-condition, post-condition of the overriding method m (2) , and Inv2' the specific invariant of the class C 2 .…”

“…The original method and its overriding method in the subclass C 2 will be denoted respectively by m (1) ,m (2) . (P (1) ,Q (1) ) denote respectively the pre-condition, the postcondition of the method m (1) ,and Inv (1) the invariant of C 1 ;and (P2',Q2') denote respectively the specific pre-condition, post-condition of the overriding method m (2) , and Inv2' the specific invariant of the class C 2 . (P (2) ,Q (2) ) denote respectively the pre-condition, the post-condition of the method m (2) ,and Inv (2) the invariant of C 2 ( Figure 2).…”

“…(P (1) ,Q (1) ) denote respectively the pre-condition, the postcondition of the method m (1) ,and Inv (1) the invariant of C 1 ;and (P2',Q2') denote respectively the specific pre-condition, post-condition of the overriding method m (2) , and Inv2' the specific invariant of the class C 2 . (P (2) ,Q (2) ) denote respectively the pre-condition, the post-condition of the method m (2) ,and Inv (2) the invariant of C 2 ( Figure 2). The results of this paragraph are based on the works of Liskov, Wing [12] and Meyer [13] who have studied the problem relating to types and subtypes with behavioral specification in an object-oriented (OO) paradigm.…”

“…The results of this paragraph are based on the works of Liskov, Wing [12] and Meyer [13] who have studied the problem relating to types and subtypes with behavioral specification in an object-oriented (OO) paradigm. Indeed, a derived class obeys the Liskov Substitution Principle (LSP) if for each overriding method m (2) , the pre-condition P (2) is weaker than the pre-condition P (1) of the overridden method (P (1) P (2) ) , the post-condition Q (2) is stronger than the post-condition Q (1) of the overridden method (Q (2) Q (1) ),and the class invariant Inv (2) of the subclass C 2 must be equal to or stronger than the class invariant Inv (1) of the C 1 (Inv (2) Inv (1) ).…”

“…Indeed, in object oriented modeling, a formal specification defines operations by collections of equivalence relations and is often used to constrain class and type, to define the constraints on the system states, to describe the pre-and post-conditions on operations and methods, and to give constraints of navigation in a class diagram. The object-oriented constraints (OOC) are specified by formal languages as OCL [1] and JMl [2], and are used for generating test data from formal specifications [3].…”