ENGLISH

Stochastic Coalgebraic Logic

By Ernst-Erich Doberkat

Book information

Publisher
Springer
Year
2010
ISBN
3642029949, 9783642029943, 3642029957, 9783642029950
DOI
10.1007/978-3-642-02995-0
Google Books ID
ieq6WXOOcIcC
Language
english
Format
PDF
Filesize
2 MB (1857460 bytes)
Series
Monographs in Theoretical Computer Science. An EATCS Series
Pages
249\249
Topic
Mathematics Logic
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2012-03-09 12:00:00
Homological Algebra; Statistical Theory and MethodMathematical Logic and Formal Languages; Probabili

Description

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a comprehensive discussion of the Giry monad as the underlying categorical construction, presenting many new, hitherto unpublished results.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