Type Theory and Formal Proof pdf epub mobi txt 电子书下载 2024

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Rob Nederpelt

Cambridge University Press

2014-10-31

490

USB 80.00

Hardcover

9781107036505

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

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发表于2024-05-20

Type Theory and Formal Proof epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Type Theory and Formal Proof pdf epub mobi txt 电子书下载 2024

图书描述

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.

Type Theory and Formal Proof 下载 mobi epub pdf txt 电子书

著者简介

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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Type Theory and Formal Proof pdf epub mobi txt 电子书下载

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用户评价

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很好的一本书。前五章就讲完了lambda cube，怕不是读完就可以写一个proof assistant了。我不确定untype lambda calculus那里讲的对不对（我得学过untyped lambda calculus才能评价）但是很违和（主要是substitution那里）。这本书从理论出发的最大好处就是作为导引和指南而且主线清晰。

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