Basic Simple Type Theory

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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.