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<p><b>Abstract</b>—Formal software specification has long been touted as a way to increase the quality and reliability of software; however, it remains an intricate, manually intensive activity. An alternative to using formal specifications directly is to translate graphically based, semiformal specifications into formal specifications. However, before this translation can take place, a formal definition of basic object-oriented concepts must be found. This paper presents an algebraic model of object-orientation that defines how object-oriented concepts can be represented algebraically using an object-oriented algebraic specification language O-S<scp>lang</scp>. O-S<scp>lang</scp> combines basic algebraic specification constructs with category theory operations to capture internal object class structure, as well as relationships between classes.</p>
Software engineering, formal methods, domain models, transformation systems.

T. C. Hartrum and S. A. DeLoach, "A Theory-Based Representation for Object-Oriented Domain Models," in IEEE Transactions on Software Engineering, vol. 26, no. , pp. 500-517, 2000.
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