书目名称 | Stochastic Coalgebraic Logic | 编辑 | Ernst-Erich Doberkat | 视频video | | 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 | 丛书名称 | Monographs in Theoretical Computer Science. An EATCS Series | 图书封面 |  | 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a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results.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 | 关键词 | Categories, category theory; Coalgebraic logics; Giry Monad; Markov transition systems; Modal logic; Morp | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-02995-0 | isbn_softcover | 978-3-642-26147-3 | isbn_ebook | 978-3-642-02995-0Series ISSN 1431-2654 Series E-ISSN 2193-2069 | issn_series | 1431-2654 | copyright | Springer-Verlag Berlin Heidelberg 2009 |
The information of publication is updating
|
|