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Directed Algebraic Topology and Concurrency 2016 download

Directed Algebraic Topology and Concurrency 2016 download

Directed Algebraic Topology and Concurrency 2016 by Martin Raussen
Directed Algebraic Topology and Concurrency 2016
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Author: Martin Raussen
Page Count: 178 pages
Published Date: 30 Mar 2016
Publisher: Springer International Publishing AG
Publication Country: Cham, Switzerland
Language: English
ISBN: 9783319153971
File size: 14 Mb
File Name: Directed.Algebraic.Topology.and.Concurrency.2016.pdf
Download Link: Directed Algebraic Topology and Concurrency 2016
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This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis. Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes on to refine combinatorial and topological models. In the process, it develops tools and invariants for the new discipline directed algebraic topology, which is driven by fundamental research interests as well as by applications, primarily in the static analysis of concurrent programs. The state space of a concurrent program is described as a higher-dimensional space, the topology of which encodes the essential properties of the system. In order to analyse all possible executions in the state space, more than "just" the topological properties have to be considered: Execution paths need to respect a partial order given by the time flow. As a result, tools and concepts from topology have to be extended to take privileged directions into account. The target audience for this book consists of graduate students, researchers and practitioners in the field, mathematicians and computer scientists alike.

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