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This book focuses on numerous examples of tasks represented by c-e
structure. Cause-effect (c-e) structures are dynamic objects
devised for algebraic and graphic description of realistic tasks.
They constitute a formal system providing means to specify or
implement (depending on degree of description generality) the
tasks. They can be transformed, thus come under simplification, in
accordance with rules-axioms of their algebra. Also, their
properties can be inferred from the axioms. One objective of this
book is presentation, by many realistic examples, of computing
capability of c-e structures, without entering into mathematical
details of their algebra. In particular, how computing with natural
numbers and in propositional calculus can be performed by c-e
structures and how to specify behavior of data structures. But also
demonstration of many other tasks taken from the area of parallel
processing, specified as c-e structures. Another objective is
modelling or simulation by means of c-e structures, of other
descriptive systems, devised for tasks from various fields. Also
without formalizing by usage of functions between the systems. This
concerns formalisms such as reaction systems, rough sets, Petri
nets and CSP-like languages. Also on such, where temporal
interdependence between actions matters. The presentation of
examples is prevalently graphic, in the form of peculiar nets, but
accompanied by their algebraic and set-theoretic expressions. A
fairly complete exposition of concepts and properties of the
algebra of cause-effect structures is in the previous book appeared
in the Lecture Notes in Networks and Systems series. But basic
notions of c-e structures are here provided for understanding the
examples.
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 introduces readers to selected issues in distributed
systems, and primarily focuses on principles, not on technical
details. Though the systems discussed are based on existing (von
Neumann) computer architectures, the book also touches on emerging
processing paradigms. Uniquely, it approaches system components not
only as static constructs, but also "in action," exploring the
different states they pass through. The author's teaching
experience shows that newcomers to the field, students and even IT
professionals can far more readily grasp the essence of distributed
algorithmic structures in action, than on the basis of static
descriptions.
This book constitutes the refereed proceedings of the 11th
International Symposium on Fundamentals of Computer Theory, FCT'97,
held in Krakow, Poland, in September 1997.
The 34 revised full papers presented in the volume were selected
from a total of 72 submissions. Also included are six invited
papers by leading scientists. The papers address a variety of
current topics in theoretical computer science including models of
computation, concurrency, algorithms, complexity theory,
programming theory, formal languages, graph theory and discrete
mathematics, networking, automata theory, term rewriting, etc.
This book focuses on numerous examples of tasks represented by c-e
structure. Cause-effect (c-e) structures are dynamic objects
devised for algebraic and graphic description of realistic tasks.
They constitute a formal system providing means to specify or
implement (depending on degree of description generality) the
tasks. They can be transformed, thus come under simplification, in
accordance with rules-axioms of their algebra. Also, their
properties can be inferred from the axioms. One objective of this
book is presentation, by many realistic examples, of computing
capability of c-e structures, without entering into mathematical
details of their algebra. In particular, how computing with natural
numbers and in propositional calculus can be performed by c-e
structures and how to specify behavior of data structures. But also
demonstration of many other tasks taken from the area of parallel
processing, specified as c-e structures. Another objective is
modelling or simulation by means of c-e structures, of other
descriptive systems, devised for tasks from various fields. Also
without formalizing by usage of functions between the systems. This
concerns formalisms such as reaction systems, rough sets, Petri
nets and CSP-like languages. Also on such, where temporal
interdependence between actions matters. The presentation of
examples is prevalently graphic, in the form of peculiar nets, but
accompanied by their algebraic and set-theoretic expressions. A
fairly complete exposition of concepts and properties of the
algebra of cause-effect structures is in the previous book appeared
in the Lecture Notes in Networks and Systems series. But basic
notions of c-e structures are here provided for understanding the
examples.
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