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描述
计算机科学中的逻辑 对数学逻辑的全面介绍,涵盖以下主题:命题逻辑与一阶逻辑;一阶逻辑的正确性、完备性与紧致性;一阶理论;不可判定性与哥德尔不完全性定理;以及对其他逻辑(如直觉主义逻辑与模态逻辑)的简介。逻辑在可计算性、编程语言、程序规范与验证等领域的应用。
原文参考文本
Logic in Computer Science Thorough introduction to mathematical logic, covering the following topics: propositional and first-order logic; soundness, completeness, and compactness of first-order logic; first-order theories; undecidability and Gödel's incompleteness theorem; and an introduction to other logics such as intuitionistic and modal logics. Application of logic to various areas such as computability, programming languages, program specification and verification.
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来源参考 : https://brocku.ca/webcal/2024/graduate/cosc.html