具体描述
An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. The Little Typer explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of The Little Schemer. The first five chapters of The Little Typer provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming-pairs, lists, functions, and recursions-can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to type. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.
用户评价
##打个五星吧。。。不过我只看了最后几章。。。
评分##最终还是迷失在iter-Cap, rec-Cap, ind-Cap中了。
评分##语言略微繁琐，但全书从基本type开始，通过一个个小故事的叙述，引出dependent type是如何与theorem proving相辅相成，并在最后指出如何拓展Pie到一个成熟的theorem prover。喜欢！
评分##最终还是迷失在iter-Cap, rec-Cap, ind-Cap中了。
评分##行文步步推进，节奏略慢，同时过多的专注于自然数，略为trivial。没有引入inductive type，导致自然数，列表等都是作为语言的原语生硬引入，这是最大的硬伤。万丈高楼本可平地起，奈何基础设施不够。
评分##一直感觉Fieldman的书是“高山滚石”式的布局的典范，前期节奏平缓注重体系的自洽和对读者的引导，后半则信息量很大却又水到渠成
评分##一直感觉Fieldman的书是“高山滚石”式的布局的典范，前期节奏平缓注重体系的自洽和对读者的引导，后半则信息量很大却又水到渠成
评分##最终还是迷失在iter-Cap, rec-Cap, ind-Cap中了。
评分##一直感觉Fieldman的书是“高山滚石”式的布局的典范，前期节奏平缓注重体系的自洽和对读者的引导，后半则信息量很大却又水到渠成
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