Lectures on the Curry-Howard Isomorphism
by Morten Heine B. Sorensen, Pawel Urzyczyn
Publisher: Elsevier Science 2006
ISBN/ASIN: 0444520775
Number of pages: 273
Description:
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:
Download link
(1.3MB, PDF)
Similar books
Practical Foundations for Programming Languagesby Robert Harper - Carnegie Mellon University
This is a book on the foundations of programming languages. The emphasis is on the concept of type, which organizes the computational universe in the same way that the concept of set may be seen as an organizing principle for mathematics.
(19638 views)
Reasoned Programmingby 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.
(15289 views)
The Design and Implementation of Probabilistic Programming Languagesby Noah D. Goodman, Andreas Stuhlmüller - dippl.org
This book explains how to implement PPLs by lightweight embedding into a host language. We illustrate this by designing WebPPL, a small PPL embedded in Javascript. We show how to implement several algorithms for universal probabilistic inference.
(9244 views)
Concrete Semantics: With Isabelle/HOLby Tobias Nipkow, Gerwin Klein - Springer
The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a tool for formal proofs about computer science artefacts. All the mathematics is formalised in Isabelle and much of it is executable.
(9190 views)