Composing Object-Oriented Specifications and Verifications with cTLA

In order to support formally correctness preserving reenement steps of object-oriented system designs, we refer at one hand to the practically well-accepted Uniied Modelling Language (UML) and at the other hand to L. Lamport's Temporal Logic of Actions (TLA) which supports concise and precise notions of properties of dynamic behaviours and corresponding proof techniques. We apply cTLA which is an extension of TLA and supports the modular deenition of process types. Moreover, in cTLA process composition has the character of superposition which facilitates the modular transformation of UML diagrams to corresponding formal cTLA process system deenitions and their structured veriication. We exemplify transformation and formal veriication. Moreover we outline the application of this method for the establishment of domain-speciic speciication frameworks which can directly support the UML-based correct design of OO-systems.