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Product and iteration of module specifications

  • Francesco Parisi-Presicce
Algebraic Specifications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 299)

Abstract

A new operation on module specifications, called iteration, is introduced. It resembles Kleene's star construction for regular languages, it is closely related to the operations of union and composition and it is motivated by the need to define potentially infinite export interfaces using a single module. The iteration of a module M can be viewed as the limit of a sequence of products of the module with itself. The construction is shown to be well defined and to provide a solution to a fixed point equation at the specification level. More general recursive definitions are discussed and certain fixed point equations solved.

Keywords

Module Specification Semantical Condition Forgetful Functor Fixed Point Equation Syntactical Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Francesco Parisi-Presicce
    • 1
  1. 1.Dipartimento di MatematicaUniversita' dell'AquilaL'AquilaItaly

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