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portada Stochastic Relations: Foundations for Markov Transition Systems (Chapman & Hall
Type
Physical Book
Publisher
Language
English
Pages
376
Format
Paperback
ISBN13
9780367389116
Edition No.
1

Stochastic Relations: Foundations for Markov Transition Systems (Chapman & Hall

Ernst-Erich Doberkat (Author) · Crc Pr Inc · Paperback

Stochastic Relations: Foundations for Markov Transition Systems (Chapman & Hall - Ernst-Erich Doberkat

Physical Book

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Synopsis "Stochastic Relations: Foundations for Markov Transition Systems (Chapman & Hall"

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.

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