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引用次数: 5

摘要

在依赖类型语言中,运行时值可以出现在类型中,从而可以为程序提供比没有依赖类型的语言更精确的类型。这可以从跟踪简单的不变量(如列表的长度)到完整的函数正确性。除了对最终程序有一些正确性保证外,为程序分配更精确的类型意味着在编写程序时可以从类型检查器获得更多帮助。这是我在这里的重点,演示Agda的编程环境如何在开发依赖类型的程序时提供帮助。
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Interactive programming with dependent types
In dependently typed languages run-time values can appear in types, making it possible to give programs more precise types than in languages without dependent types. This can range from keeping track of simple invariants like the length of a list, to full functional correctness. In addition to having some correctness guarantees on the final program, assigning more precise types to programs means that you can get more assistance from the type checker while writing them. This is what I focus on here, demonstrating how the programming environment of Agda can help you when developing dependently typed programs.
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