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Context induction: A proof principle for behavioural abstractions

  • Rolf Hennicker
Theory
Part of the Lecture Notes in Computer Science book series (LNCS, volume 429)

Abstract

An induction principle, called context induction, is presented which is appropriate for the verification of behavioural properties of abstract data types. The usefulness of the proof principle is documented by several applications: the verification of behavioural theorems over a behavioural specification, the verification of behavioural implementations and the verification of "forget-restrict-identify" implementations.

In particular it is shown that behavioural implementations and "forget-restrict-identify" implementations (under certain assumptions) can be characterized by the same context condition, i.e. (under the given assumptions) both concepts are equivalent. This leads to the suggestion to use context induction as a uniform proof method for correctness proofs of formal implementations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Rolf Hennicker
    • 1
  1. 1.Fakultät für Mathematik und InformatikUniversität PassauPassau

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