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Titlebook: Stochastic Coalgebraic Logic; Ernst-Erich Doberkat Book 2009 Springer-Verlag Berlin Heidelberg 2009 Categories, category theory.Coalgebrai

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書目名稱Stochastic Coalgebraic Logic
編輯Ernst-Erich Doberkat
視頻videohttp://file.papertrans.cn/878/877881/877881.mp4
概述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.Includes supplementary mate
叢書名稱Monographs in Theoretical Computer Science. An EATCS Series
圖書封面Titlebook: Stochastic Coalgebraic Logic;  Ernst-Erich Doberkat Book 2009 Springer-Verlag Berlin Heidelberg 2009 Categories, category theory.Coalgebrai
描述.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a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results.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
出版日期Book 2009
關(guān)鍵詞Categories, category theory; Coalgebraic logics; Giry Monad; Markov transition systems; Modal logic; Morp
版次1
doihttps://doi.org/10.1007/978-3-642-02995-0
isbn_softcover978-3-642-26147-3
isbn_ebook978-3-642-02995-0Series ISSN 1431-2654 Series E-ISSN 2193-2069
issn_series 1431-2654
copyrightSpringer-Verlag Berlin Heidelberg 2009
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The Giry Monad: Randomized Morphisms,ions K = ((.), (., B),.) and L = ((.), (.), .) as a pair (.) of surjective measurable maps so that ?(.) ? . = .. This means that for each measurable subset . of ., and for each . ∈ . the equality .(.)(.. [.])= .(.(.))(.) holds. Stochastic relations form a category with these morphisms, and the kerne
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1431-2654 of stochastic coalgebraic logics.Includes supplementary mate.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
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