Term Rewriting and All That
Franz Baader,Tobias Nipkow | 1998-03-13 00:00:00 | Cambridge University Press | 313 | Theory of Computing
This textbook offers a unified, self-contained introduction to the field of term rewriting. Baader and Nipkow cover all the basic material--abstract reduction systems, termination, confluence, completion, and combination problems--but also some important and closely connected subjects: universal algebra, unification theory, Gröbner bases, and Buchberger's algorithm. They present the main algorithms both informally and as programs in the functional language Standard ML (An appendix contains a quick and easy introduction to ML). Key chapters cover crucial algorithms such as unification and congruence closure in more depth and develop efficient Pascal programs. The book contains many examples and over 170 exercises. This is also an ideal reference book for professional researchers: results spread over many conference and journal articles are collected here in a unified notation, detailed proofs of almost all theorems are provided, and each chapter closes with a guide to the literature.
Reviews
This is a good book for someone researching term rewriting, but it does expect a certain amount of background information. Also, some times the terminology is a little unfamiliar to me (an undergrad math/computer science senior), but a little digging through the index takes care of that problem. All in all, a good book all around, especially if you are used to mathematical writing styles.
Reviews
My main criticism of this book is its title. As a computer science graduate student, I was looking for a somewhat accessible book on the field of term rewriting, and the title of this book made me think it might fulfill my needs. Although the book seems fairly comprehensive, it is very difficult to understand. In fact, I have read several of the papers listed in this book's bibliography and found them more comprehensible. If your math skills are very good, and you prefer equations to english, this may be the book for you.
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