Del i serien Monographs in Theoretical Computer Science. An EATCS Series

Stochastic Coalgebraic Logic

Inbunden, Engelska, 2009

AvErnst-Erich Doberkat

1 399 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Finns i fler format (1)

Häftad

1 399 kr

Skickas inom 10-15 vardagar

Coalgebraic logic is an important research topic in the areas of concurrency theory, semantics, transition systems and modal logics. It provides a general approach to modeling systems, allowing us to apply important results from coalgebras, universal algebra and category theory in novel ways. Stochastic systems provide important tools for systems modeling, and recent work shows that categorical reasoning may lead to new insights, previously not available in a purely probabilistic setting.This book combines coalgebraic reasoning, stochastic systems and logics. It provides an insight into the principles of coalgebraic logic from a categorical point of view, and applies these systems to interpretations of stochastic coalgebraic logics, which include well-known modal logics and continuous time branching logics. The author introduces stochastic systems together with their probabilistic and categorical foundations and gives a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results. He discusses modal logics, introduces their probabilistic interpretations, and then proceeds to an analysis of Kripke models for coalgebraic logics.The book will be of interest to researchers in theoretical computer science, logic and category theory.

Produktinformation

Utgivningsdatum2009-11-19
Mått155 x 235 x 19 mm
Vikt541 g
FormatInbunden
SpråkEngelska
SerieMonographs in Theoretical Computer Science. An EATCS Series
Antal sidor231
Upplaga2009
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642029943

Tillhör följande kategorier

From the reviews: "Stochastic coalgebraic logic is a detailed study devoted to the modal logic of general probability spaces. ... the reader is not only exposed to formal logic but also to an extensive amount of measure theory that is summarised in the first chapter. ... the book is a self-contained and readable discussion of the subject, and even the versed reader will find new results." (Dirk A. Pattinson, Mathematical Reviews, March, 2013) "The book begins with an extensive and useful introduction to basic concepts from the theory of measurable and analytic spaces required for the further technical development. ... the book provides an overview of a large amount of technically challenging material; it is suitable reading, e.g., for graduate students in the field of stochastic logics." (Lutz Schroder, Zentralblatt MATH, Vol. 1207, 2011) "Stochastic coalgebraic logic generically allows such formulations to be defined by a coalgebra. This compact, four-chapter monograph packs in many mathematical details about such logics. ... The treatment is mathematical throughout, with the author pointing out the key concepts used in proofs. ... a good reference for theoretical researchers interested in the mathematical underpinnings of this area." (K. Lodaya, ACM Computing Reviews, December, 2010)