Lectures on the Curry-Howard Isomorphism
by Morten Heine B. Sorensen, Pawel Urzyczyn
Publisher: Elsevier Science 2006
Number of pages: 273
The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. This book give an introduction to parts of proof theory and related aspects of type theory relevant for the Curry-Howard isomorphism. It can serve as an introduction to any or both of typed lambda-calculus and intuitionistic logic.
Download or read it online for free here:
by J. Girard, Y. Lafont, P. Taylor - Cambridge University Press
This little book comes from a short graduate course on typed lambda-calculus given at the Universite Paris. It is not intended to be encyclopedic and the selection of topics was really quite haphazard. Some very basic knowledge of logic is needed.
by Joey Paquet, Serguei A. Mokhov - arXiv
Lecture notes for the Comparative Studies of Programming Languages course. These notes include a compiled book of primarily related articles from the Wikipedia, as well as Comparative Programming Languages book and other resources.
This book is an attempt to describe a bit of the programming languages zoo. We use each of the particular languages to introduce fundamental notions related to the design and the implementation of general purpose programming languages.
by Krysia Broda et al - Prentice Hall Trade
The text for advanced undergraduate/graduate students of computer science. It introduces functional, imperative and logic programming and explains how to do it correctly. Functional programming is presented as a programming language in its own right.