An observational subset of first-order logic cannot specify the behaviour of a counter (extended abstract)

  • Oliver Schoett
Part of the Lecture Notes in Computer Science book series (LNCS, volume 480)


An “observational” specification language for abstract data types is one that allows only observable aspects of a type to be specified. An observational sublanguage of first-order logic must not contain equations between values of hidden sorts. It is shown that in such a sublanguage the behaviour of a simple counter data type cannot be finitely specified. This implies that more than first-order logic is needed for a useful observational specification language, and that more than first-order logic or a stronger proof rule than previously proposed is needed to work with nonstandard “behavioural” semantics of specifications.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Oliver Schoett
    • 1
  1. 1.Institut für InformatikTechnische Universität MünchenMünchen 2Germany

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