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This is a textbook for final year undergraduates/first year graduates in computer science, as well as a useful introduction for research students seeking a solid introduction to more specialist literature. This text emphasises the role of calculus in programming language design and implementation, denotational semantics, and domain theory. Alternative books on the subject have been written by logicians, but this is the first to have been written from a computer science prespective, invaluable in emphasising the practical relevance of the key theortical ideas.
1. Introduction ; 2. Notation and basic theory ; 3. Reduction ; 4. Combinatory logic ; 5. Semantics ; 6. Computability ; 7. Types ; 8. Practical issues ; 9. Other calculi ; 10. Further reading ; Bibliography ; Index
`For the serious student working in this field, Lambda Calculi contains a wealth of useful information which would take a long time to extract from other sources.'`.. a very good book and [] a timely addition to the theoretical computer scientist's bookshelf.' The Computer Journal