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Klappentext 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.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.The mathematical presentation is rigorous but clear, making it the first book at this level which can be used as an introduction to type theory for computer scientists. Zusammenfassung This book introduces and teaches the techniques of type theory 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. Inhaltsverzeichnis Introduction; 1. The type-free ¿-calculus; 2. Assigning types to terms; 3. The principal-type algorithm; 4. Type assignment with equality; 5. A version using typed terms; 6. The correspondence with implication; 7. The converse principal-type algorithm; 8. Counting a type's inhabitants; 9. Technical details; Answers to starred exercises; Bibliography; Table of principal types; Index.
