Topology and Category Theory in Computer Science

by ; ;
Format: Hardcover
Pub. Date: 1991-09-26
Publisher(s): Clarendon Press
List Price: $128.00

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Summary

This volume reflects the growing use of techniques from topology and category theory in the field of theoretical computer science. In so doing it offers a source of new problems with a practical flavor while stimulating original ideas and solutions. Reflecting the latest innovations at the interface between mathematics and computer science, the work will interest researchers and advanced students in both fields.

Table of Contents

Topology, computer science and the mathematics of convergence
The soundness and completeness of axioms for CSP processes
Classifying unbounded nondeterminism in CSP
Algebraic posets, algebraic cpo's and models of concurrency
Concurrency semantics based on metric domain equations
On topological characterization of behavioral properties
Order and strongly sober compactifications
Totally bounded spaces and compact ordered spaces as domains of computation
A characterization of effective topological spaces II
The importance of cardinality, separability, and compactness in computer science with an example from numerical signal analysis
Digital topology: a comparison of the graph-based and topological approaches
Tiling the plane with one tile
An algebraic axiomatization of linear logic models
Types as theories
Table of Contents provided by Publisher. All Rights Reserved.

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