The third chapter presents four of the most well-known applications of category theory in the areas of logic and programming language semantics. It is at this point in the book that the novice reader can begin to appreciate the power of category theory. It is one of the great strengths of this book that the introductory two chapters have been made so concise that the third chapter begins only fifty pages into the book, thereby reducing the demands placed on him before reaching "real" examples. Perhaps the most valuable part of the book is Chapter 4 and the bibliography, which give a long list of relevant books and papers on applications of category theory. Chapter 4 is especially valuable, as it gives capsule reviews of a number of the most important books and research papers. This part of the book makes it valuable even for those researchers already possessing a good knowledge of category theory. Updating Logical Databases by M a r i a n n e Winslett Cambridge: Cambridge University Press, 1990 ix + 211 pages, $34.50 Reviewed by: Steven O. Kimbrough University of Michigan School of Business Administration A n n Arbor, M I 48109-1234 Kimbrough@um.cc.umich.edu
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