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 Robert Harper - Carnegie Mellon University
What follows is a working draft of a planned book that seeks to strike a careful balance between developing the theoretical foundations of programming languages and explaining the pragmatic issues involved in their design and implementation.
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 Bill Hails
This book presents an informal and friendly introduction to some of the core ideas in modern computer science, using the programming language Perl as its vehicle. The book takes the form of a series of working interpreters for the language PScheme.
by Shriram Krishnamurthi - Lulu.com
The textbook for a programming languages course, taken primarily by advanced undergraduate and beginning graduate students. This book assumes that students have modest mathematical maturity, and are familiar with the existence of the Halting Problem.