PDF Ebook , by Daniel P. Friedman David Thrane Christiansen

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, by Daniel P. Friedman David Thrane Christiansen

PDF Ebook , by Daniel P. Friedman David Thrane Christiansen

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Product details

File Size: 36321 KB

Print Length: 424 pages

Publisher: The MIT Press (October 12, 2018)

Publication Date: October 12, 2018

Sold by: Amazon Digital Services LLC

Language: English

ASIN: B07JW9ZYJ3

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Amazon Best Sellers Rank:

#360,367 Paid in Kindle Store (See Top 100 Paid in Kindle Store)

Following the "Little Schemer" series, this book introduces under the form of a dialogue, and using a toy language, the mysteries of dependently typed languages. Both extremely pleasant to read and challenging.

Let me be clear; this is not a book for everyone. It did happen, though, to be *exactly* the right book for me. It's written, like the other books in the "Little X-er" series, in the form of a dialogue between a teacher and an (extremely good) student. This means that every point in the book invites you to figure out what the answer should be for yourself; this kind of mental struggle is incredibly valuable in learning material and making it your own.The topic is Type Theory; specifically, the kind of intuitionistic type theory that underlies languages like Agda, Idris, and Coq. This book provides a lovely gem of a language (pie) in which to explore these ideas. If you're interested in proof-oriented languages like these and you have substantial familiarity with functional languages, I HIGHLY recommend this book.

A nice and simple introduction to a complex topic. Could be a bit tedious for someone just wanting to come up to speed with DTs. Overall five stars without a doubt.

The way this book teaches a complex topic like dependent types is just fantastic. If you take the time to read through each frame and think about the next frame before you read it, you'll learn so much and so well. Take the time to read and understand every frame. Highly, highly recommended.

Well written on a challenging topic.

The best introduction to dependent types.

Very explicit

This book is an excellent introduction to dependent type theory.Rather than work with one of the major full-featured languagessuch as Coq, Agda, or Idris, the authors chose to design a littleteaching language called Pie. This was the right choice, becauseit helps the reader get clear on the fundamentals of dependenttype theory without being confused by the role of all of the(helpful) bells and whistles that the major languages have. Thebook focuses on the eliminators, or ways of using, each of thedependent types. The little Pie language foregoes user-definedinductive data types, a universe hierarchy, and pattern matching,and instead focuses on a core set of built-in dependent types (Pitypes, Sigma types, and some other basics) along with eliminatorsinstead of pattern matching. I learned recursion from The LittleSchemer a decade ago, but I like this book even better. Thedepth of understanding of the authors is profound, the attentionto detail is amazing, and the insight into what learners need isunbelievable. This is one of my favorite 50 books of all time.

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