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

Czaja, Ludwik

Softcover

ISBN 10: 303020460X ISBN 13: 9783030204600

Verlag: Springer, 2019

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

The author obtained the MSc, PhD and habilitation degrees from the University of Warsaw, where he was a professor of informatics at the Faculty of Mathematics, Informatics and Mechanics. He spent some years in other universities, like Carnegie-Mellon, Oxford, Ben-Gurion, Humboldt, as visiting professor or a research fellow. Now he is a professor of the Vistula University and professor emeritus of the University of Warsaw. His work encompasses formal and programming languages, compilers, theory of computation, parallel and distributed processing.

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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. 

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2019
• Sprache: Englisch
• ISBN 10: 303020460X
• ISBN 13: 9783030204600
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 160
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland