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  • © 2019

Cause-Effect Structures

An Algebra of Nets with Examples of Applications

Authors:

  • 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

Part of the book series: Lecture Notes in Networks and Systems (LNNS, volume 45)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introductory Notes

    • Ludwik Czaja
    Pages 1-8
  3. Rough Cause-Effect Structures

    • Ludwik Czaja
    Pages 39-44
  4. Semantic Properties of c-e Structures

    • Ludwik Czaja
    Pages 63-74
  5. Monoid of Processes

    • Ludwik Czaja
    Pages 97-103
  6. Examples

    • Ludwik Czaja
    Pages 119-136
  7. Back Matter

    Pages 137-142

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.

Reviews

“The book is very well written and structured, with information presented in a very compact form. … the book is highly recommended. It presents an interesting alternative to the well-known theory of Petri nets, with much potential that deserves a wider audience.” (Wolfgang Schreiner, Computing Reviews April 12, 2022)

Authors and Affiliations

  • Vistula University, Warsaw, Poland

    Ludwik Czaja

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access