Power domain constructions

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Power domain constructions

The variety of power domain constructions proposed in the literature is put into a general algebraic framework. Power constructions are considered algebras on a higher level: for every ground domain, there is a power domain whose algebraic structure is speciied by means of axioms concerning the algebraic properties of the basic operations empty set, union, singleton, and extension of functions....

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An R-module M is observable ii all its elements can be distinguished by observing them by means of linear morphisms from M to R. We show that free observable R-modules can be explicitly described as the cores of the nal power domains with characteristic semiring R. Then, the general theory is applied to the cases of the lower and the upper semiring. All lower modules are observable, whereas the...

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ژورنال

عنوان ژورنال: Science of Computer Programming

سال: 1991

ISSN: 0167-6423

DOI: 10.1016/0167-6423(91)90037-x