Acta Informatica

, Volume 46, Issue 4, pp 255–284 | Cite as

Semantics, calculi, and analysis for object-oriented specifications

  • Achim D. BruckerEmail author
  • Burkhart Wolff
Original Article


We present a formal semantics for an object-oriented specification language. The formal semantics is presented as a conservative shallow embedding in Isabelle/hol and the language is oriented towards ocl formulae in the context of uml class diagrams. On this basis, we formally derive several equational and tableaux calculi, which form the basis of an integrated proof environment including automatic proof support and support for the analysis of this type of specifications. We show applications of our proof environment to data refinement based on an adapted standard refinement notion. Thus, we provide an integrated formal method for refinement-based object-oriented development.


Formal Semantic Proof Obligation Concrete Syntax Dynamic Type Class Invariant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.SAP ResearchKarlsruheGermany
  2. 2.Université Paris-SudOrsay CedexFrance

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