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P2 Type-Driven Development with Idris

使用 Idris 进行类型驱动开发
JFP vol.302020匹配度 3/10 · 本书是 Idris 依赖类型与类型驱动开发的入门教材,涉及函数式编程、类型系统与程序验证,与形式化验证方向有间接关联;但未涉及静态分析、LLM/Agent、浮点程序分析或贝叶斯程序分析,且不是研究论文,与当前研究问题核心不匹配。引用 54 inbox
JAN DE MUIJNCK-HUGHES
dblp: 2026-09-10crossref: 2026-09-10

AI 速览

一句话:介绍 Idris 中依赖类型驱动的开发方法,面向工程师,涵盖函数式编程、依赖类型与程序验证。

本文是对《Type-Driven Development with Idris》一书的评介。该书针对工程师而非仅面向理论研究者,介绍如何利用 Idris 的一等依赖类型来开发既可维护又可形式验证的软件。全书分三部分:第一部分以类似于 Haskell 入门的方式介绍 Idris 函数式编程基础,并通过“带长度的列表”等例子说明类型驱动开发在软件工程中的必要性;第二部分深入依赖类型编程,展示如何编写交互式程序,并在类型层面推理数据结构、扩展模式匹配,以构造高效且经过验证的代码;书中还循序渐进地引入 totality、可判定性与定理证明等较难主题,并通过前后呼应的示例帮助新手理解。评介认为该书降低了依赖类型编程的入门门槛,同时不回避验证所需的核心概念。

问题
依赖类型语言可表达软件性质并支持形式验证,但现有教材多面向理论研究者,工程师难以入门。
方法
以 Idris 为教学语言,分三部分由函数式编程基础逐步推进到依赖类型、交互式程序与类型级推理,并穿插贯穿示例。
评估
作为书评/教材评介,评价其面向工程师的定位、对 totality、可判定性与定理证明等主题的渐进引入,以及通过示例展示验证代码的构建。
原文摘要(Abstract)

Type-Driven Development with IdrisProgramming languages that support dependent types provide us with an expressive environment in which we can specify and reason about properties of our software programs.Type-Driven Development with Idris is an introductory text to dependently typed programming using the Idris programming language, which the book introduces, and to how we can use Idris' support for first-class dependent types to engineer software programs that are not only maintainable but programs that can also be formally verified.Type-Driven Development with Idris is not the first book to describe how dependent types are used to reason about software programs (Chlipala, 2013;Stump, 2016).While these books provide extensive coverage of the subject matter, they are aimed toward the theorists (squigglers) who wish to develop theories using dedicated theorem provers.What is nice about the book, and the Idris language, is that it is aimed more at engineers (bodgers) not used to squiggling or functional programming.Importantly, the book does not shy away from more squiggly topics such as totality, decidability, and theorem proving (which are required components for verifying programs) and introduces them at a gentle pace comfortable for the novice.The book is divided into three parts.Part 1 offers a general introduction to the basics of functional programming in Idris that is reminiscent of Hutton's Programming in Haskell (Hutton, 2016).The author considers the expected readers' background and ensures that those experienced enough can jump ahead where appropriate, and that those not so experienced are given the time required to learn functional programming in Idris.What is nice here is that the author, using the classic "Lists with Length" example, shows the need for types and how type-driven development helps with the software engineering process before the Idris language is introduced-thus, allowing one to gain an intuition for why type-driven development matters.Part 2 delves into the core of programming with dependent types in Idris, introducing language features and idioms that allow one to specify and reason more precisely about one's software programs than we can when using existing general-purpose programming languages.Specifically, the author introduces the reader to dependent types and how they can be used to write interactive programs and demonstrates how to verify these same interactive programs by using dependent types to reason, at the type level, about the structure of data and how dependent types can change how we view data to extend pattern matching in interesting and practical ways.Importantly, the book demonstrates how these idiomatic constructs support the construction of efficient verified code, an important aspect when one is developing real programs.The author makes backwards references, refinements, and extensions toward the examples mentioned in Part 1, giving the reader a chance to see previously seen concepts in action.More so, the running examples of a "word guessing

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DOI 原文 · PDF(开放获取) · DBLP

BibTeX
@article{Muijnck-Hughes20,
  title = {Type-Driven Development with Idris},
  author = {JAN DE MUIJNCK-HUGHES},
  journal = {Journal of Functional Programming},
  volume = {30},
  year = {2020},
  doi = {10.1017/s0956796820000143}
}