The Little Typer. Daniel P. Friedman, David Thrane Christiansen, Duane Bibby, Robert Harper, Conor McBride

The Little Typer


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ISBN: 9780262536431 | 424 pages | 11 Mb

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  • The Little Typer
  • Daniel P. Friedman, David Thrane Christiansen, Duane Bibby, Robert Harper, Conor McBride
  • Page: 424
  • Format: pdf, ePub, fb2, mobi
  • ISBN: 9780262536431
  • Publisher: MIT Press
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The Little Typer by Daniel P. Friedman, David Thrane Christiansen, Duane Bibby 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 recursion—can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.

The Little Typer by Daniel P. Friedman, David Thrane Christiansen
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I do hope that The Little Typer and Pie will be a good start to working on An introduction to dependent types, demonstrating the most beautiful  No evaluator for [Absurd] · Issue #18 · the-little-typer/pie · GitHub
#lang pie (claim Fin (-> Nat U)) (define Fin (λ (n) (rec-Nat n Absurd (λ (k Fin-k) ( Either Trivial Fin-k))))) (claim really-only-2-values (Π ([x (Fin 2)])  Types of Snow | National Snow and Ice Data Center
Scientists and meteorologists have classified types of snowfall, snowpack, and Sleet, shown here with a penny for scale, is composed of small, translucent  The Little Prover | The MIT Press
The Little Prover introduces inductive proofs as a way to determine facts about computer programs. The Little Prover assumes only knowledge of recursive programs and lists (as presented in the first three chapters of The The LittleTyper. The Little Typer - Daniel P. Friedman, David Thrane - Adlibris
Pris: 341 kr. pocket, 2018. Ännu ej utkommen. Köp boken The Little Typer av Daniel P. Friedman, David Thrane Christiansen, Duane (ILT) Bibby (ISBN  The Little Typer by Christiansen, David Thrane (9780262536431
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  The Little MLer | The MIT Press
The Little MLer is an introduction to thinking about programming and the ML Most important, they help the reader to think recursively with types about  Certified Programming with Dependent Types | The MIT Press
Certified Programming with Dependent Types. A Pragmatic Introduction to the Coq Proof Assistant The Little Typer · Daniel P. Friedman and David Thrane 



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