Cause-Effect Structures: An Algebra of Nets with Examples of Applications (Lecture Notes in Networks and Systems, 45) - Softcover

Book 75 of 391: Lecture Notes in Networks and Systems

Czaja, Ludwik

 
9783030204600: Cause-Effect Structures: An Algebra of Nets with Examples of Applications (Lecture Notes in Networks and Systems, 45)
Softcover
ISBN 10: 303020460X ISBN 13: 9783030204600
Publisher: Springer, 2019

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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. 

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2019
Language
English
ISBN 10 
303020460X
ISBN 13 
9783030204600
Binding
Paperback
Edition number
1
Number of pages
159