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opposed to worst-case guarantees) in a rigorous way in an effort to prove lower bounds. Surveys have played a big role in the development of this field, and Wang's survey in this volume does an excellent job of motivating the definitions and covering the most important results in the area. Opinion This is a really fine collection of papers. All of the articles are of uniformly high quality, and all of the topics are important. I would recommend this volume as supplementary course material for a graduate course or seminar on complexity theory, and I would also recommend it to every active researcher in the field. In most cases, people really wanting to completely understand the proofs of the main theorems presented will have to consult the original sources as well, but these surveys do an excellent job of telling t h e reader what those important theorems are, and where to go to find the best proofs. Review of Basic Simple Type Theory 3 Series: Cambridge Tracts in Theoretical Computer Science -~42 Author: J. Roger Hindley Publisher: Cambridge University Press~ 1997 Reviewer: Brian Postow Overview Type theory is a field that has implications in several areas of

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Book Review: Basic Simple Type Theory by J. Roger Hindley (Cambridge University Press 1997)

Reviewer-Postow, Brian
ACM SIGACT News , Volume 29 (1)
Association for Computing MachineryMar 1, 1998

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