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Lecture Notes in Networks and Systems

Cause-Effect Structures

An Algebra of Nets with Examples of Applications

Authors: Czaja, Ludwik

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  • Describes cause–effect structures as an extension of the elementary c–e structures, and with the following features: weighted edges, multi-valued nodes with capacities, inhibitors, and several models of time
  • Includes various real-world examples illustrating the features discussed
  • Presents a quasi-semiring of nets, together with examples and applications
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eBook $84.99
price for USA in USD
  • ISBN 978-3-030-20461-7
  • Digitally watermarked, DRM-free
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Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-20460-0
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  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this book

This book presents a new algebraic system whose interpretation coincides with the behaviour of Petri nets, enhanced with an inhibitory mechanism and four time models. Its goal is to provide a formal means of modelling dynamic tasks, and of testing and verifying properties, in contexts characterised by the parallel execution of actions. However, the task description differs from that of Petri nets. The algebra is a quasi-semiring, “quasi” because of its somewhat restricted distributivity axiom. Expressions of this algebra, the cause–effect structures, have a graphic presentation as nets, but with one kind of named nodes, each annotated by two expressions that specify the type of signal reception from predecessors and transmission to successors. Many structural and behavioural properties are stated with proofs, and illustrative sample tasks are included. The book is intended for all those interested or involved in parallel and distributed computing – students, researchers and practitioners alike.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $84.99
price for USA in USD
  • ISBN 978-3-030-20461-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-3-030-20460-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Cause-Effect Structures
Book Subtitle
An Algebra of Nets with Examples of Applications
Authors
Series Title
Lecture Notes in Networks and Systems
Series Volume
45
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-20461-7
DOI
10.1007/978-3-030-20461-7
Softcover ISBN
978-3-030-20460-0
Series ISSN
2367-3370
Edition Number
1
Number of Pages
XVII, 142
Number of Illustrations
50 b/w illustrations, 30 illustrations in colour
Topics