Term Rewriting and All That
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  3. Term Rewriting and All That
  • Cited by 1025
  • Franz Baader, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany, Tobias Nipkow, Technische Universität München
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
1998
Online ISBN:
9781139172752
DOI:
https://doi.org/10.1017/CBO9781139172752
Subjects:
Computer Science, Programming Languages and Applied Logic
Information

Book description

This textbook offers a unified and self-contained introduction to the field of term rewriting. It covers 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. The main algorithms are presented both informally and as programs in the functional language Standard ML (an appendix contains a quick and easy introduction to ML). Certain crucial algorithms like unification and congruence closure are covered in more depth and Pascal programs are developed. The book contains many examples and over 170 exercises. This text is also an ideal reference book for professional researchers: results that have been spread over many conference and journal articles are collected together in a unified notation, proofs of almost all theorems are provided, and each chapter closes with a guide to the literature.

Reviews

‘… a welcome and important addition to the library of any researcher interested in theoretical computer science. It provides a thorough grounding in the subject in a clear style, and gives plenty of indications of further directions, including an extensive bibliography’.

Source: The Computer Journal

‘… a well-balanced textbook … presenting the subject in a unified and systematic manner.’

H. Herre Source: Zentralblatt MATH

‘… a highly welcome addition to the literature on term rewriting … It is very readable, well written and likeable book. it should be of great value to students and researchers alike.’

Jan Willem Klop Source: Journal of Functioning Programming

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