On behavioural abstraction and behavioural satisfaction in higher-order logic

  • Martin Hofmann
  • Donald Sannella
CAAP Caap-3: Logic & Specification
Part of the Lecture Notes in Computer Science book series (LNCS, volume 915)


The behavioural semantics of specifications with higher-order formulae as axioms is analyzed. A characterization of behavioural abstraction via behavioural satisfaction of formulae in which the equality symbol is interpreted as indistinguishability, due to Reichel and recently generalized to the case of first-order logic by Bidoit et al, is further generalized to this case. The fact that higher-order logic is powerful enough to express the indistinguishability relation is used to characterize behavioural satisfaction in terms of ordinary satisfaction, and to develop new methods for reasoning about specifications under behavioural semantics.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Martin Hofmann
    • 1
  • Donald Sannella
    • 1
  1. 1.Laboratory for Foundations of Computer ScienceUniversity of EdinburghEdinburghUK

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