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Foundations of the Unified Modeling Language

Explore the importance of formalizing Unified Modeling Language (UML) syntax, semantics, design rules, and notations for better understanding, automated checking, and development. Discover how formalizing UML contributes to a clearer association of classifiers and attributes.

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Foundations of the Unified Modeling Language

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  1. Foundations of the Unified Modeling Language Tony Clark and Andy Evans 2nd BCS-FACS Northern Formal Methods Workshop

  2. Why formal UML? • A. shortage of other topics to write papers about • B. automated checking • C. better understanding • D. automated development

  3. What is being formalized? • Syntax • Semantics • Design rules • Notations

  4. An association

  5. Static1 • abstract, classifiers : F Classifier • associations :F Association • attributes : Classifiers -||->F Name • supertype_of : Classifier <-> Classifier • ------------------------------- • abstract subset classifiers

  6. Static • Static1 • ----------------------------------- • supertype_of elementof (classifiers <-> classfiers) • supertype_of+ intersect id(classifiers) = null • forall c1, c2 : classifiers dot c1 supertype_of c2 implies attributes(c2) subset attributes(c1)

  7. Static (continued) • forall a1, a2 : associations dot a1 not= a2 implies a1.name not= a2.name • forall a : associations dot {e : a.connects dot e.classifier} subset classifiers

  8. Semantics • Domain: a set of objects • Mapping: how to interpret static model in semantic domain

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