Term Rewriting and All That 论文

1998Cambridge University Press eBooks引用 2116
Logic, programming, and type systemsMathematics, Computing, and Information Processing

详细信息

发表期刊/会议
Cambridge University Press eBooks
发表日期
1998-03-05
发表年份
1998

关键词

Logic, programming, and type systemsMathematics, Computing, and Information Processing

摘要

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.