Basic Simple Type Theory
Download Basic Simple Type Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Basic Simple Type Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Basic Simple Type Theory
Author: J. Roger Hindley
language: en
Publisher: Cambridge University Press
Release Date: 1997
Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.
Categorical Logic and Type Theory
Author: Bart Jacobs
language: en
Publisher: Elsevier Science & Technology
Release Date: 1999
This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.
Type Theory and Formal Proof
Author: Rob Nederpelt
language: en
Publisher: Cambridge University Press
Release Date: 2014-11-06
A gentle introduction for graduate students and researchers in the art of formalizing mathematics on the basis of type theory.