Introduction to Lambda Calculus (2000)

by Henk Barendregt. Erik Barendsen.

Based on the concept of a Turing machine are the present day Von Neumann computers. Conceptually these are Turing machines with random access registers. Imperative programming languages such as Fortran, Pascal etcetera as well as all the assembler languages are based on the way a Turing machine is instructed: by a sequence of statements. Functional programming languages, like Miranda, ML etcetera, are based on the lambda calculus. An early (although somewhat hybrid) example of such a language is Lisp. Reduction machines are specifically designed for the execution of these functional languages. [via]

ftp://ftp.cs.kun.nl/pub/CompMath.Found/lambda...