STOCHASTIC RELATIONS: Foundations for Markov Transition Systems

Doberkat, Ernst-Erich

ISBN 10: 1584889411 ISBN 13: 9781584889410

Published by Chapman & Hall/CRC, Boca Raton, Florida, 2007

Language: English

Condition: Used - Fine Hardcover

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Octavo. Original glossy boards; issued without a dust jacket. A fine copy.

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Bibliographic Details

Title

STOCHASTIC RELATIONS: Foundations for Markov Transition Systems

Publisher

Chapman & Hall/CRC, Boca Raton, Florida

Publication Date

2007

Language

English

ISBN 10

1584889411

ISBN 13

9781584889410

Binding

Hardcover

Edition

First Edition.

Condition

Fine

Dust Jacket Condition

Dust Jacket Included

Seller catalogs

Science

About this title

Synopsis

Collecting information previously scattered throughout the vast literature, including the author’s own research, Stochastic Relations: Foundations for Markov Transition Systems develops the theory of stochastic relations as a basis for Markov transition systems.

After an introduction to the basic mathematical tools from topology, measure theory, and categories, the book examines the central topics of congruences and morphisms, applies these to the monoidal structure, and defines bisimilarity and behavioral equivalence within this framework. The author views developments from the general theory of coalgebras in the context of the subprobability functor. These tools show that bisimilarity and behavioral and logical equivalence are the same for general modal logics and for continuous time stochastic logic with and without a fixed point operator.

With numerous problems and several case studies, this book is an invaluable study of an important aspect of computer science theory.

About the Author

Doberkat, Ernst-Erich

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