The connection between initial and unique solutions of domain equations in the partial order and metric approach

Author:

Baier Christel1,Majster-Cederbaum Mila1

Affiliation:

1. Fakultät für Mathematik und Informatik, Universität Mannheim, 68131, Mannheim, Germany

Abstract

Abstract The purpose of this paper is twofold: First, we show in which way the initial solution of a domain equation for cpo's and the unique solution of a corresponding domain equation for metric spaces are related. Second, we present a technique to lift a given domain equation for cpo's to a corresponding domain equation for metric spaces.

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

Reference21 articles.

1. Abramsky S. and Jung A.: Domain Theory in S. Abramsky D.M. Gabbay and T.S.E. Maibaum editors Handbook of Logic in Computer Science Vol. 3 pp 1–168 Clarendon Press 1994.

2. Designing equivalent semantic models for process creation

3. Denotational semantics of a parallel object-oriented language

4. Solving reflexive domain equations in a category of complete metric spaces

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