Lisbeth Fajstrup

(Author)

Directed Algebraic Topology and Concurrency (2016)Hardcover - 2016, 11 March 2016

Directed Algebraic Topology and Concurrency (2016)
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Print Length
167 pages
Language
English
Publisher
Springer
Date Published
11 Mar 2016
ISBN-10
3319153978
ISBN-13
9783319153971

Description

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.

Product Details

Authors:
Lisbeth FajstrupEric GoubaultEmmanuel HaucourtSamuel MimramMartin Raussen
Book Edition:
2016
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
11 March 2016
Dimensions:
23.39 x 15.6 x 1.12 cm
ISBN-10:
3319153978
ISBN-13:
9783319153971
Language:
English
Location:
Cham
Pages:
167
Publisher:
Weight:
430.91 gm

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