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An Introduction to Functional Programming Through Lambda Calculus Greg Michaelson
Publisher: Addison-Wesley

The roots of functional programming languages such as Lisp, ML, Erlang, Haskell and others, can be traced to the concept of recursion in general and λ-calculus in particular. 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. They are a functional programming technique based on lambda calculus, which you may or may not remember from Theory of Computation. We provide two characterizations, using concepts we introduce for infinite lambda-terms: regularity, strong regularity, and binding-capturing chains. Lambda functions are a new feature of the proposed new standard for the C++ programming language called C++0x, although it's likely to be introduced sometime in 2009. An Introduction to Lambda Calculus. Abstract: We address a problem connected to the unfolding semantics of functional programming languages: give a useful characterization of those infinite lambda-terms that are lambda_{letrec}-expressible in the sense that they arise as infinite unfoldings of terms in lambda_{letrec}, the lambda-calculus with letrec. In previous posts, I touched upon how we ended up with the lambda as Furthermore, in this second paper, Church introduced a means of representing positive integers using lambda notation, now known as Church numerals. Or was it Programming Languages? Unfortunately, most people outside of programming and computer science don't know exactly what computation means. I am working on design and implementation of a functional programming language with support for automatic differentiation. Powered by WP Greet Box WordPress Plugin. A Simply Typed Lambda-Calculus for Forward Automatic Differentiation. I am proud to announce that my first computer science paper has been accepted to MFPS XXVIII! This is exactly like the Lambda Calculus: names are variables, text blocks are expressions, and headlines are function heads, only instead of being printed in bold, they are surrounded by a λ and a dot, so we know where they begin and end. 1: The Little LISPer, which is a great primer before glancing into 4. Many may have heard of Turing Machines, but these . Calculus Early Transcendentals on this topic. Papers in this field usually use Church's original lambda-calculus notation instead of the ML-like notation I give here. Every function call or primitive operation takes the continuation as an argument.