本书特色
-
编程实践驱动逻辑学习
通过Python项目串联数理逻辑核心内容(命题逻辑、谓词逻辑、完备性定理等),将抽象理论转化为可执行的代码实现,适合有编程基础的读者。 -
配套资源完整
- 提供每章配套的代码框架(含单元测试)
- 开源API文档与Python 3.7+代码库
- 在线阅读前13章及附录(含前言与索引)
- 教学结构清晰
每章包含:理论背景 → Python项目 → 数学形式化分析,实现“代码实现-理论深化”的双向闭环。
核心内容
- 基础逻辑:命题逻辑语法/语义、演绎证明
- 高阶主题:谓词逻辑、前束范式、完备性定理
- 拓展延伸:哥德尔不完备定理导论
- 工具附录:逻辑公理与推理规则速查表
适用场景
- 计算机科学本科逻辑课程辅助教材
- 通过Python强化逻辑思维的自学资料
- 形式化方法、编程语言理论前置学习
获取方式
教材网站: https://www.logicthrupython.org/
在线阅读
- Front matter (including our preface)
- Chapter 0: Introduction and Overview
- Chapter 1: Propositional Logic Syntax
- Chapter 2: Propositional Logic Semantics
- Chapter 3: Logical Operators
- Chapter 4: Proof by Deduction
- Chapter 5: Working with Proofs
- Chapter 6: The Tautology Theorem and the Completeness of Propositional Logic
- Chapter 7: Predicate Logic Syntax and Semantics
- Chapter 8: Getting Rid of Functions and Equality
- Chapter 9: Deductive Proofs of Predicate Logic Formulas
- Chapter 10: Working with Predicate Logic Proofs
- Chapter 11: The Deduction Theorem and Prenex Normal Form
- Chapter 12: The Completeness Theorem
- Chapter 13: Sneak Peek at Mathematical Logic II: Gödel’s Incompleteness Theorem
- Cheatsheet: Axioms and Axiomatic Inference Rules Used in this Book
- Index