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Semantics of nondeterministic and noncontinuous constructs

  • IV. Special Language Considerations And Formal Tools
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Program Construction

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 69))

Abstract

The semantics of the nondeterministic and noncontinuous constructs of the descriptive and applicative parts of the wide spectrum language CIP-L is given by defining both, a "breadth-function", characterizing the sets of possible values of ambiguous expressions, and a "definedness-predicate", indicating for such expressions whether all possible evaluations lead to defined values. With the help of the Egli-Milner ordering ambiguous, recursive functions are defined as fixpoints of functionals.

Using these concepts the meanings of quantifiers, ambiguous functions and expressions are based on a mathematical structure satisfying the axioms of two-valued classical logic and set theory.

This research was carried out within the Sonderforschungsbereich 49, Programmiertechnik, Munich".

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Author information

Authors and Affiliations

  1. Institut für Informatik der Technischen Universität, Postfach 202420, D-8000, München 2, Germany

    M. Broy, R. Gnatz & M. Wirsing

Authors
  1. M. Broy
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  2. R. Gnatz
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  3. M. Wirsing
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Editor information

Friedrich L. Bauer Manfred Broy E. W. Dijkstra S. L. Gerhart D. Gries M. Griffiths J. V. Guttag J. J. Horning S. S. Owicki C. Pair H. Partsch P. Pepper M. Wirsing H. Wössner

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© 1979 Springer-Verlag Berlin Heidelberg

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Broy, M., Gnatz, R., Wirsing, M. (1979). Semantics of nondeterministic and noncontinuous constructs. In: Bauer, F.L., et al. Program Construction. Lecture Notes in Computer Science, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014683

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  • DOI: https://doi.org/10.1007/BFb0014683

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  • Print ISBN: 978-3-540-09251-3

  • Online ISBN: 978-3-540-35312-6

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