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Abstract and behaviour module specifications

Published online by Cambridge University Press:  01 February 1999

FELIX CORNELIUS
Affiliation:
Berlin University of Technology
MICHAEL BALDAMUS
Affiliation:
Berlin University of Technology
HARTMUT EHRIG
Affiliation:
Berlin University of Technology
FERNANDO OREJAS
Affiliation:
Universitat Politècnica de Catalunya, Barcelona

Abstract

The theory of algebraic module specifications and modular systems was developed initially mainly on the basis of equational algebraic specifications. We show that it is in fact almost independent of what kind of underlying specification framework is chosen. More specifically, we present a formulation where this framework appears as an indexed category or, equivalently, specification frame. The ensuing theory is called the theory of abstract module specifications. We are able to prove main results concerning the correctness and compositionality of abstract module specifications in a purely categorical way, assuming the existence of pushouts of morphisms between abstract specifications that allow model amalgamation, functor extension and/or suitable free constructions. Then, by instantiating the theory of abstract module specifications to the behaviour specification frame in the sense of Nivela and Orejas, we obtain a theory of behaviour module specifications.

Type
Research Article
Copyright
1999 Cambridge University Press

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