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Stochastic Relations: Foundations for Markov Transition Systems

Stochastic Relations: Foundations for Markov Transition Systems

Paperback

Series: Chapman & Hall/CRC Studies in Informatics

General ComputersProbability & StatisticsProgramming

ISBN10: 0367389118
ISBN13: 9780367389116
Publisher: Crc Pr Inc
Published: Sep 5 2019
Pages: 376
Weight: 1.10
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
This book 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, it examines congruences and morphisms. It applies these topics to the monoidal structure, and defines bisimilarity and behavioral equivalence within this framework. Developments from the general theory of coalgebras in the context of the subprobability functor are presented. The book also includes case studies of software architecture, the converse of a stochastic relation, and the average case analysis of two algorithms.

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General Computers