Stochastic Relations

Name: Stochastic Relations
Brand: CRC Press

CRC Press

Stochastic RelationsFoundations for Markov Transition Systems\nAuthor(s): Ernst-Erich Doberkat\nFormat: Paperback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9780367389116, 978-0367389116\nSynopsis\nCollecting information previously scattered throughout the vast literature, including the authors own research, Stochastic Relations: Foundations for Markov Transition Systems develops the theory of stochastic relations as a basis for Markov transition systems.\n\nAfter 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 sa.