SHF: Small: Mechanized reasoning for functional programs

SHF：小型：函数式程序的机械化推理

基本信息

批准号：
2006535
负责人：
Stephanie Weirich
金额：
$ 45万
依托单位：
University of Pennsylvania
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-10-01 至 2024-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2006535&HistoricalAwards=false
关键词：
SHF Small Mechanized reasoning functional

项目摘要

This project investigates the usage of interactive proof assistants for reasoning about the properties of programs written in functional programming languages, with the specific focus on code written in the Haskell programming language and verified using the Coq proof assistant. Results from this project will increase our understanding of mechanical reasoning and its role in the development of a wide variety of software systems through specification identification and bug detection. In other words, development teams should be able to use proof assistants to discover a formal description of the properties and invariants that should hold for a code base and to identify parts of the code base that violate those properties. Additionally, the project develops a corpus of translated libraries, their specifications, and properties that may be used in future developments.The project centers around the development, extension and use of a verification tool, called hs-to-coq that semi-automatically translates unmodified Haskell source code to the language of the Coq proof assistant. This project extends hs-to-coq so that it may be applied to effectful code which express side effects like input/output and other stateful computations using monadic actions. The project considers Haskell code that makes use of concurrency, mutable state, exceptions, or operating system calls. To this end, project members investigate the use of monadic and algebraic structures, such as interaction trees, free monads and effect handlers, both in the original Haskell code and in support of modeling effectful code in Coq.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该项目调查了交互式证明助手的用法，以推理使用功能编程语言编写的程序的属性，并针对用Haskell编程语言编写的代码进行了具体的重点，并使用COQ Proof Assistant进行了验证。该项目的结果将通过规范识别和错误检测来提高我们对机械推理及其在开发各种软件系统开发中的作用的理解。换句话说，开发团队应该能够使用证明助手来发现对代码库的属性和不变性的正式描述，并确定违反这些属性的代码基础的一部分。此外，该项目还开发了可以在未来开发中使用的翻译库，其规格和属性的语料库。该项目围绕着验证工具的开发，扩展和使用称为HS-to-COQ，该项目将半自动化的Haskell源代码转换为Coq Pixp Assistans的语言。该项目扩展了HS-to-COQ，因此可以将其应用于有效的代码，该代码表达使用Monadic Actions等副作用，例如输入/输出和其他状态计算。该项目考虑使用并发，可变状态，异常或操作系统调用的Haskell代码。为此，项目成员在原始的Haskell代码中调查了诸如互动树，免费的单调和效果处理程序之类的莫纳达和代数结构的使用，并支持COQ中的建模效应代码。该奖项反映了NSF的法定任务，并认为通过基金会的知识优点和广泛的crietia crietia criperia criperia cribitia criperia criperia criperia cribitia criperia criperia criperia receptia the Apportion the奖项。