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Refinement of Parameterized Algebraic Specifications

  • Yellamraju V. Srinivas
Chapter
Part of the IFIP Advances in Information and Communication Technology book series (IFIPAICT)

Abstract

A refinement relation for parameterized algebraic specifications is introduced in which the body specification is refined covariantly (i.e., specialized) while the parameter specification is refined contravariantly (i.e., generalized). This refinement is similar to the subtyping relation between function types. Assuming a few relatively weak axioms about parameterized specifications, refinement is shown to satisfy the expected properties for software development in-the-large: independent refinement of body and parameter, and closure under sequential composition, instantiation and a suitable form of ‘horizontal’ composition.

Keywords

Parameterized specifications mixed-variance refinement compositionality 

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Copyright information

© IFIP 1997

Authors and Affiliations

  • Yellamraju V. Srinivas
    • 1
  1. 1.Kestrel InstitutePalo AltoUSA

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