Details

Cause-Effect Structures


Cause-Effect Structures

An Algebra of Nets with Examples of Applications
Lecture Notes in Networks and Systems, Band 45

von: Ludwik Czaja

CHF 59.00

Verlag: Springer
Format: PDF
Veröffentl.: 27.05.2019
ISBN/EAN: 9783030204617
Sprache: englisch

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Beschreibungen

<p>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. </p>
Introductory notes.-&nbsp;Basics of elementary cause-effect structures.-&nbsp;Extensions of elementary cause-effect structures.-&nbsp;Another extension: time in elementary c-e structures.
<p>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.&nbsp;</p><p></p>
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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