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Combining algebraic and set-theoretic specifications

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Book cover Recent Trends in Data Type Specification (ADT 1995, COMPASS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1130))

Abstract

Specification frameworks such as B and Z provide power sets and cartesian products as built-in type constructors, and employ a rich notation for defining (among other things) abstract data types using formulae of predicate logic and lambda-notation. In contrast, the so-called algebraic specification frameworks often limit the type structure to sort constants and first-order functionalities, and restrict formulae to (conditional) equations. Here, we propose an intermediate framework where algebraic specifications are enriched with a set-theoretic type structure, but formulae remain in the logic of equational Horn clauses. This combines an expressive yet modest specification notation with simple semantics and tractable proof theory.

This work was partially supported by Compass (Esprit Basic Research Working Group 6112).

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Author information

Authors and Affiliations

  1. CRIN-CNRS & INRIA-Lorraine, BP 239, F-54506, Vandœuvre-lès-Nancy Cedex, France

    Hélène Kirchner

  2. BRICS, Dept. of Computer Science, University of Aarhus, Ny Munkegade, bldg. 540, DK-8000, Aarhus C, Denmark

    Peter D. Mosses

Authors
  1. Claus Hintermeier
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  2. Hélène Kirchner
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  3. Peter D. Mosses
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Editor information

Magne Haveraaen Olaf Owe Ole-Johan Dahl

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© 1996 Springer-Verlag Berlin Heidelberg

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Hintermeier, C., Kirchner, H., Mosses, P.D. (1996). Combining algebraic and set-theoretic specifications. In: Haveraaen, M., Owe, O., Dahl, OJ. (eds) Recent Trends in Data Type Specification. ADT COMPASS 1995 1995. Lecture Notes in Computer Science, vol 1130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61629-2_47

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  • DOI: https://doi.org/10.1007/3-540-61629-2_47

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61629-0

  • Online ISBN: 978-3-540-70642-7

  • eBook Packages: Springer Book Archive

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