图书标签: 类型论 计算机 编程语言理论 lambda-calculus 证明论 类型系统 逻辑学 语言学
发表于2025-02-16
Type Theory and Formal Proof pdf epub mobi txt 电子书 下载 2025
Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalize mathematics. The only prerequisites are a good knowledge of undergraduate algebra and analysis. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarize themselves with the material.
Rob Nederpelt was Lecturer in Logic for Computer Science until his retirement. Currently he is a guest researcher in the Faculty of Mathematics and Computer Science at Eindhoven University of Technology, The Netherlands.
Herman Geuvers is Professor in Theoretical Informatics at the Radboud University Nijmegen, and Professor in Proving with Computer Assistance at Eindhoven University of Technology, both in The Netherlands.
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如果你准备学习类型论和λ-演算,这本书应当是最好读的:通俗而不失严谨,概念讲解很清晰易懂;对读者的数学背景要求也不高,有点类似于编程大众读本的操作型教程,其基本理念是:先不要管为什么,跟着我一步步做下去,等一个项目做完了你自然明白。这本书对所有定理都没有提供...
评分如果你准备学习类型论和λ-演算,这本书应当是最好读的:通俗而不失严谨,概念讲解很清晰易懂;对读者的数学背景要求也不高,有点类似于编程大众读本的操作型教程,其基本理念是:先不要管为什么,跟着我一步步做下去,等一个项目做完了你自然明白。这本书对所有定理都没有提供...
评分如果你准备学习类型论和λ-演算,这本书应当是最好读的:通俗而不失严谨,概念讲解很清晰易懂;对读者的数学背景要求也不高,有点类似于编程大众读本的操作型教程,其基本理念是:先不要管为什么,跟着我一步步做下去,等一个项目做完了你自然明白。这本书对所有定理都没有提供...
评分如果你准备学习类型论和λ-演算,这本书应当是最好读的:通俗而不失严谨,概念讲解很清晰易懂;对读者的数学背景要求也不高,有点类似于编程大众读本的操作型教程,其基本理念是:先不要管为什么,跟着我一步步做下去,等一个项目做完了你自然明白。这本书对所有定理都没有提供...
评分如果你准备学习类型论和λ-演算,这本书应当是最好读的:通俗而不失严谨,概念讲解很清晰易懂;对读者的数学背景要求也不高,有点类似于编程大众读本的操作型教程,其基本理念是:先不要管为什么,跟着我一步步做下去,等一个项目做完了你自然明白。这本书对所有定理都没有提供...
Type Theory and Formal Proof pdf epub mobi txt 电子书 下载 2025