| 书目名称 | Temporal Type Theory | | 副标题 | A Topos-Theoretic Ap | | 编辑 | Patrick Schultz,David I. Spivak | | 视频video | | | 概述 | Describes a new approach, developed by the authors, for proving properties about the behaviors of systems using temporal logic.Review of the prerequisite material included where needed in order to mak | | 丛书名称 | Progress in Computer Science and Applied Logic | | 图书封面 |  | | 描述 | This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. .The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal typ | | 出版日期 | Book 2019 | | 关键词 | temporal type theory; category theory; topoi; systems engineering; sheave theory; hybrid dynamical system | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-00704-1 | | isbn_ebook | 978-3-030-00704-1Series ISSN 2297-0576 Series E-ISSN 2297-0584 | | issn_series | 2297-0576 | | copyright | The Author(s) 2019 |
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发表于 2025-3-21 19:57:27
