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Domains of View: A Foundation for Specification and Analysis

Conference paper
Part of the Semantic Structures in Computation book series (SECO, volume 1)

Abstract

We propose a platform for the specification and analysis of systems. This platform contain models, their refinement and abstraction, and a temporal logic semantics; rendering a sound framework for property validation and refutation. The platform is parametric in a domain of view, an abstraction of a construction based on the Plotkin power domain. For each domain of view E, the resulting platform P [E]1 contains partial,incomplete systems and complete systems — the actual implementations. Complete systems correspond to the platform that has as parameter a domain D that is, as a set, isomorphic to the maximal elements of E. If one restricts P [E] to implementations, but retains the temporal logic semantics, refinement, and abstraction relations, one recovers the platform P [D]. This foundation recasts existing work on modal transition systems, presents fuzzy systems, and ponders on the nature of probabilistic platforms. For domains of view E that are determined by a linearly ordered, complete lattice, we present a category of “relations” as a step toward a view-based semantics of predicate logic.

Keywords

Modal transition systems refinement abstract interpretation partial systems property verification property refutation fuzzy systems linear t-norms Markov chains Plotkin power domain 

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  1. 1.Department of Computing and Information SciencesKansas State UniversityManhattanUSA

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