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Foundations of the Unified Modeling Language

Foundations of the Unified Modeling Language. Tony Clark and Andy Evans 2nd BCS-FACS Northern Formal Methods Workshop. Why formal UML?. A. shortage of other topics to write papers about B. automated checking C. better understanding D. automated development. What is being formalized?.

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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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