Unifying Initial and Loose Semantics of Parameterized Specifications in an 
Arbitrary Institution

Baumeister, Hubert

doi:10.1007/3-540-53982-4_7

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Unifying Initial and Loose Semantics of Parameterized Specifications in an Arbitrary Institution

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Baumeister, Hubert
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Baumeister, H. (1991). Unifying Initial and Loose Semantics of Parameterized Specifications in an Arbitrary Institution. In S. Abramsky, & T. S. E. Maibaum (Eds.), Proceedings of the International Joint Conference on Theory and Practice of Software Development (TAPSOFT '91) (pp. 103-120). Berlin, Germany: Springer.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-AE3D-B

Abstract

In this paper we are going to present a theory of parameterized abstract
datatypes as the model-theoretic level of parameterized specifications. We will
show that parameterized abstract datatypes allow us to model the main
approaches to the semantics of parameterized specifications, the loose approach
and the free functor semantics, using the same formalism. As a consequence we
obtain that, when using data constraints in a specification language, this
language is able to cope with both the loose and the free functor semantics at
the same time. To be independent of a specific logic this theory is developed
in the context of an arbitrary institution.