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Stochastic Coalgebraic Logic

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Doberkat, Ernst-Erich 作者
译者
出版日期
231 页数
$ 111.87 价格
丛书系列
9783642029943 图书编码

Stochastic Coalgebraic Logic 在线电子书 图书标签: 范畴论  nemlophics   


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发表于2024-12-23


Stochastic Coalgebraic Logic 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Stochastic Coalgebraic Logic 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Stochastic Coalgebraic Logic 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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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a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results.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.

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