具體描述
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.
用戶評價
##打個五星吧。。。不過我隻看瞭最後幾章。。。
評分以前看完一部喜歡的長篇小說或者電視劇的時候都會多少有些失落。讀完瞭這本關於編程的書之後竟然也有瞭類似的感覺。Friedman 的書都是有溫度的。寫瞭一篇算是讀後感的東西，http://mxm.ink/post/2019-06-09-dependent-type/
評分##行文步步推進，節奏略慢，同時過多的專注於自然數，略為trivial。沒有引入inductive type，導緻自然數，列錶等都是作為語言的原語生硬引入，這是最大的硬傷。萬丈高樓本可平地起，奈何基礎設施不夠。
評分##在看前麵幾章，猶如在看哲學書，盡是一些毫無意義的定義，滿是一些脫褲子放屁的做法。 說是不能用recursion寫function，那還玩個屁，於是強行定義瞭個iter-nat來用，可iter-nat他媽不recursive嗎，最後齣個rec-nat...再強加解釋說這樣做有什麼什麼好處好自圓其說，跟哲學傢一個德行。Friedman的書很多都很喜歡，不過這本書講述的理論，似乎不太行。放棄。
評分##打個五星吧。。。不過我隻看瞭最後幾章。。。
評分##語言略微繁瑣，但全書從基本type開始，通過一個個小故事的敘述，引齣dependent type是如何與theorem proving相輔相成，並在最後指齣如何拓展Pie到一個成熟的theorem prover。喜歡！
評分##打個五星吧。。。不過我隻看瞭最後幾章。。。
評分以前看完一部喜歡的長篇小說或者電視劇的時候都會多少有些失落。讀完瞭這本關於編程的書之後竟然也有瞭類似的感覺。Friedman 的書都是有溫度的。寫瞭一篇算是讀後感的東西，http://mxm.ink/post/2019-06-09-dependent-type/
評分##最終還是迷失在iter-Cap, rec-Cap, ind-Cap中瞭。
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