Basic Simple Type Theory (Cambridge Tracts in Theoretical Computer Science Book 42) 1st Edition by J. Roger Hindley (PDF)

Description

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. In this way, all the key ideas are covered without getting involved in the complications of more advanced systems, but concentrating rather on the principles that make the theory work in practice. 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 which lies at the heart of every such system. Also featured are two other interesting algorithms that have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making the book at a level which can be used as an introduction to type theory for computer scientists.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐J.R. Hindley is a famous researcher in the field of type theory, and writes clear text books.There are beautiful and complex interrelationships between proof theory and type theory.This book covers some of these relationships, some of the history, and the basics of the theory.It has good literature pointers for anyone wishing to learn more on the topics he presents.

⭐The book is good but it is a sequence of definitions, lemmas and theorems without proofs.For example, at the beginning, there is a brief review of lambda calculus concepts but it is assumed that you are familiarized with lambda calculus.Anyway I like the book and I’m enjoying it, but it is not a beginners book.

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