Directed Algebraic Topology and Concurrency (1st ed. 2016) (SpringerBriefs in Applied Sciences and Technology)

By: and and and and

Sign Up Now! Already a Member? Log In
You must be logged into UK education collection to access this title. Learn about membership options, or view our freely available titles.

Synopsis
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.
Copyright:
2016

Book Details

Book Quality:
Publisher Quality
ISBN-13:
9783319153988
Related ISBNs:
9783319153971
Publisher:
Springer International Publishing
Date of Addition:
Copyrighted By:
Springer International Publishing, Cham
Adult content:
No
Language:
English
Has Image Descriptions:
No
Categories:
Nonfiction, Computers and Internet, Technology, Mathematics and Statistics, Philosophy
Submitted By:
Bookshare Staff
Usage Restrictions:
This is a copyrighted book.

Reviews

No Rating Yet