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.
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