摘要翻译:
到目前为止,许多数学知识已经被形式化并存储在知识库中:不同的数学定理和理论已经被考虑并包含在数学知识库中。然而,离纯数学更远的应用--尽管是基于这些理论--往往需要关于基本理论的更详细的知识。本文从电气工程领域出发,以复分析为基础的稳定性理论为重点,给出了一个实例Mizar形式化。我们讨论在这里需要什么样的特殊知识,以及在现有的存储库中包含多少这种知识。
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英文标题:
《On Building a Knowledge Base for Stability Theory》
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作者:
Agnieszka Rowinska-Schwarzweller and Christoph Schwarzweller
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最新提交年份:
2010
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Artificial Intelligence
人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
A lot of mathematical knowledge has been formalized and stored in repositories by now: different mathematical theorems and theories have been taken into consideration and included in mathematical repositories. Applications more distant from pure mathematics, however --- though based on these theories --- often need more detailed knowledge about the underlying theories. In this paper we present an example Mizar formalization from the area of electrical engineering focusing on stability theory which is based on complex analysis. We discuss what kind of special knowledge is necessary here and which amount of this knowledge is included in existing repositories.
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PDF链接:
https://arxiv.org/pdf/1005.0917