Directed Algebraic Topology and Concurrency

Directed Algebraic Topology and Concurrency
Author :
Publisher : Springer
Total Pages : 171
Release :
ISBN-10 : 9783319153988
ISBN-13 : 3319153986
Rating : 4/5 (88 Downloads)

Book Synopsis Directed Algebraic Topology and Concurrency by : Lisbeth Fajstrup

Download or read book Directed Algebraic Topology and Concurrency written by Lisbeth Fajstrup and published by Springer. This book was released on 2016-03-02 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Directed Algebraic Topology and Concurrency Related Books

Directed Algebraic Topology and Concurrency
Language: en
Pages: 171
Authors: Lisbeth Fajstrup
Categories: Computers
Type: BOOK - Published: 2016-03-02 - Publisher: Springer

DOWNLOAD EBOOK

This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis.
Directed Algebraic Topology
Language: en
Pages: 445
Authors: Marco Grandis
Categories: Mathematics
Type: BOOK - Published: 2009-09-17 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of
Research in Computational Topology 2
Language: en
Pages: 304
Authors: Ellen Gasparovic
Categories: Mathematics
Type: BOOK - Published: 2022-05-10 - Publisher: Springer Nature

DOWNLOAD EBOOK

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing t
Advances in Mathematical Sciences
Language: en
Pages: 364
Authors: Bahar Acu
Categories: Mathematics
Type: BOOK - Published: 2020-07-16 - Publisher: Springer Nature

DOWNLOAD EBOOK

This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, Ap
A Journey Through Discrete Mathematics
Language: en
Pages: 829
Authors: Martin Loebl
Categories: Computers
Type: BOOK - Published: 2017-10-11 - Publisher: Springer

DOWNLOAD EBOOK

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Mat