Verifying Multi-object Invariants with Relationships

  • Stephanie Balzer
  • Thomas R. Gross
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6813)


Relationships capture the interplay between classes in object-oriented programs, and various extensions of object-oriented programming languages allow the programmer to explicitly express relationships. This paper discusses how relationships facilitate the verification of multi-object invariants. We develop a visible states verification technique for Rumer, a relationship-based programming language, and demonstrate our technique on the Composite pattern. The verification technique leverages the “Matryoshka Principle” embodied in the Rumer language: relationships impose a stratification of classes and relationships (with corresponding restrictions on writes to fields, the expression of invariants, and method invocations). The Matryoshka Principle guarantees the absence of transitive call-backs and restores a visible states semantics for multi-object invariants. As a consequence, the modular verification of multi-object invariants is possible.


Proof Obligation Composite Pattern Method Invocation Current Receiver Admissibility Criterion 
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 Berlin Heidelberg 2011

Authors and Affiliations

  • Stephanie Balzer
    • 1
  • Thomas R. Gross
    • 1
  1. 1.ETH ZurichSwitzerland

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