Stochastic Relations

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A01=Ernst-Erich Doberkat
advanced stochastic modeling
analytic
Analytic Spaces
Atomic Propositions
Author_Ernst-Erich Doberkat
behavioral equivalence
bisimulation techniques
borel
Borel Isomorphic
Borel Map
Borel Measurable Maps
Borel Sets
category theory applications
Category=PBT
Category=UB
Category=UY
coalgebraic methods
Compact Metric Space
conditional
Countable Dense Subset
Countable Disjoint Unions
Countable Intersections
Cylinder Sets
eq_bestseller
eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Forgetful Functor
Hahn Banach Theorem
Kripke Models
measurable
Measurable Space
Measurable Subset
Metric Space
modal logic
polish
Polish Spaces
Polish Topology
Positive Convex
probabilities
Projective Limit
regular
Regular Conditional Distribution
Separable Metric Space
set
space
Stochastic Relations
subprobability functor
subset
Vice Versa

Product details

  • ISBN 9781584889410
  • Weight: 658g
  • Dimensions: 156 x 234mm
  • Publication Date: 17 May 2007
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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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.

Doberkat, Ernst-Erich

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