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A Formal Model of the UML Metamodel: The UML State Machine and Its Integrity Constraints

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ZB 2002:Formal Specification and Development in Z and B (ZB 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2272))

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Abstract

This paper presents a formal Object-Z model of the UML State Machine. We encapsulate the abstract syntax and the static and dynamic semantics for each individual model construct as a single Object-Z class. To formalize the dynamic semantics, a denotational semantics of the construct is given first ignoring detailed operational sequences. Based on this denotational semantics, an operational (execution) semantics is then defined in terms of (Object-Z) class operations and invariants constraining the operation sequences. The timed refinement calculus is used to define the operation sequences within Object-Z. Finally, integrity consistency constraints with other model constructs are formalized in terms of invariants defined in the state machine. Our approach not only enhances the precision of the UML state machine description but also overcomes the lack of modularity, extensibility and reusability of the current UML semantic representation.

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Author information

Authors and Affiliations

  1. School of Computer Science and Electrical Engineering, The University of Queensland, 4072, Brisbane, Australia

    Soon-Kyeong Kim & David Carrington

Authors
  1. Soon-Kyeong Kim
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  2. David Carrington
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Editor information

Editors and Affiliations

  1. Laboratoire LSR, IMAG, CNRS, 681,rue de la Passerelle, 38402, Saint Martin d’Hères Cedex, France

    Didier Bert

  2. SCISM, Centre for Applied Fromal Methods, SouthBank University, Borough Road, SE1 0AA, London, UK

    Jonathan P. Bowen

  3. Department of Computer Science, University of Essex, Wivenhoe Park, CO4 3SQ, Colchester, UK

    Martin C. Henson

  4. CAESER, The School of Computer Science and Engineering, The University of New South Wales, UNSW, 2052, Sydney, NSW, Australia

    Ken Robinson

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© 2002 Springer-Verlag Berlin Heidelberg

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Kim, SK., Carrington, D. (2002). A Formal Model of the UML Metamodel: The UML State Machine and Its Integrity Constraints. In: Bert, D., Bowen, J.P., Henson, M.C., Robinson, K. (eds) ZB 2002:Formal Specification and Development in Z and B. ZB 2002. Lecture Notes in Computer Science, vol 2272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45648-1_26

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  • DOI: https://doi.org/10.1007/3-540-45648-1_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43166-4

  • Online ISBN: 978-3-540-45648-3

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