An Introduction to Functional Programming Through Lambda Calculus by Greg Michaelson

An Introduction to Functional Programming Through Lambda Calculus



Download An Introduction to Functional Programming Through Lambda Calculus




An Introduction to Functional Programming Through Lambda Calculus Greg Michaelson ebook
Publisher: Addison-Wesley
Format: djvu
Page: 335
ISBN: 0486478831, 9780486478838


A Simply Typed Lambda-Calculus for Forward Automatic Differentiation. Update: Apologies to anyone who's sensibilities were offended by the claim that A++ is a "purely functional" language. Participants are encouraged to bring their laptops and program along. In this post I would like to give a down-to-earth introduction to the subject of the paper and to explain the problem it is attempting to solve. This well-respected text offers an accessible introduction to functional programming concepts and techniques for students of mathematics and computer science. If we take functional programming to be `lambda`-calculus with recursion, then the recursion operators at every type count as interesting, although I would prefer not to count them as they essentially only use order 2 features to compute fixed points. While the only thing (with the exceptions mentioned below) you can really manipulate with A++ The addition that A++ makes to lambda calculus is the ability to explicitly assign names to objects (functions or values), something which lambda calculus only supports through binding via function calls. We assume basic familiarity with functional programming languages, such as OCaml, Standard ML, Scheme, and Haskell. No prior knowledge of continuations is needed. I am proud to announce that my first computer science paper has been accepted to MFPS XXVIII! In order to lower the order of the function to make it more comprehensible, the libraries introduce the type constructor Cont, such that Cont k a is isomorphic to `((a -> k) -> k)`, which brings the order back down to 3. I am working on design and implementation of a functional programming language with support for automatic differentiation.

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