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A kernel specification formalism with higher-order parameterisation

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Recent Trends in Data Type Specification (ADT 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 534))

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Abstract

A specification formalism with parameterisation of an arbitrary order is presented. It is given a denotational-style semantics, accompanied by an inference system for proving that an object satisfies a specification. The inference system incorporates, but is not limited to, a clearly identified type-checking component.

Special effort is made to carefully distinguish between parameterised specifications, which denote functions yielding classes of objects, and specifications of parameterised objects, which denote classes of functions yielding objects. To deal with both of these in a uniform framework, it was convenient to view specifications, which specify objects, as objects themselves, and to introduce a notion of a specification of specifications.

The formalism includes the basic specification-building operations of the ASL specification language. This choice, however, is orthogonal to the new ideas presented. The formalism is also institution-independent, although this issue is not explicitly discussed at any length here.

Much of the material presented here has been included in a very preliminary form in Section 6 of [SST 90].

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Author information

Authors and Affiliations

  1. LFCS, Department of Computer Science, University of Edinburgh, Edinburgh, Scotland

    Donald Sannella

  2. Institute of Computer Science, Polish Academy of Sciences, Warsaw, Poland

    Andrzej Tarlecki

Authors
  1. Donald Sannella
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  2. Andrzej Tarlecki
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H. Ehrig K. P. Jantke F. Orejas H. Reichel

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© 1991 Springer-Verlag Berlin Heidelberg

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Sannella, D., Tarlecki, A. (1991). A kernel specification formalism with higher-order parameterisation. In: Ehrig, H., Jantke, K.P., Orejas, F., Reichel, H. (eds) Recent Trends in Data Type Specification. ADT 1990. Lecture Notes in Computer Science, vol 534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54496-8_15

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  • DOI: https://doi.org/10.1007/3-540-54496-8_15

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