Cause-Effect Structures
An Algebra of Nets with Examples of Applications
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
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
Autor*in
Ludwik Czaja
Themen in »Cause-Effect Structures«
Cause-Effect Structures Quasi-Semiring Quasi-Semiring of Nets C-E Structures Rough Cause-Effect Structures
Stimmen zu »Cause-Effect Structures«
“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)
()