HALO:通过指称语义来理解逻辑

Dimitrios Vytiniotis, S. Jones, Koen Claessen, Dan Rosén
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引用次数: 64

摘要

在现代函数式语言中,即使是类型良好的程序也可能出错,比如遇到模式匹配失败,或者只是返回错误的答案。一种日益流行的回应是允许程序员编写表达语义属性的契约,比如避免崩溃或一些有用的后用条件。我们研究了这种契约的静态验证。我们的主要贡献是对Haskell程序和用Haskell编写的契约的一阶逻辑的新颖翻译,所有这些都是通过指称语义来证明的。这种转换使我们能够使用现成的一阶逻辑定理证明器证明函数满足它们的契约。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
HALO: haskell to logic through denotational semantics
Even well-typed programs can go wrong in modern functional languages, by encountering a pattern-match failure, or simply returning the wrong answer. An increasingly-popular response is to allow programmers to write contracts that express semantic properties, such as crash-freedom or some useful post-condition. We study the static verification of such contracts. Our main contribution is a novel translation to first-order logic of both Haskell programs, and contracts written in Haskell, all justified by denotational semantics. This translation enables us to prove that functions satisfy their contracts using an off-the-shelf first-order logic theorem prover.
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