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An Introduction To Lambda Calculi For Computer Scientists (Paperback)
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An Introduction To Lambda Calculi For Computer Scientists (Paperback)
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The lambda-calculus lies at the very foundations of computer
science. Besides its historical role in computability theory it has
had significant influence on programming language design and
implementation, denotational semantics, and domain theory. The book
emphasises the proof theory for the type-free lambda-calculus. The
first six chapters concern this calculus and cover the basic
theory, reduction, models, computability, and the relationship
between the lambda-calculus and combinatory logic. Chapter 7
presents a variety of typed calculi; first the simply typed
lambda-calculus, then Milner-style polymorphism and, finally, the
polymorphic lambda-calculus. Chapter 8 concerns two variants of the
type-free lambda-calculus that have appeared in the research
literature: the lazy lambda-calculus, and the lambda
sigma-calculus. The final chapter contains references and a guide
to further reading. There are exercises throughout. In contrast to
earlier books on these topics, which were written by logicians,
this book is written from a computer science perspective and
emphasises the practical relevance of many of the key theoretical
ideas. The book is intended as a course text for final year
undergraduates or first year graduate students in computer science.
Research students should find it a useful introduction to more
specialist literature.
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