Description
Book SynopsisA comprehensive 2003 treatment of term rewriting systems from an elementary to an advanced level. Much of this material appeared here for the first time in book form. Ideal for teaching or research, it features numerous exercises with selected solutions on the web, an extensive bibliography and a chapter on applications.
Trade Review'The book presents the state of the art of rewriting techniques, it gives (or scratches) proofs on a very precise level and gives hints to historical sources of the results and to further readings, so it is highly recommended to researchers working in this area.' Zentralblatt für Mathematik
'… has extensive material … suffice it to say that this book is indispensable for a any serious student of rewriting.' Journal of TLP
'… it will soon be a compulsory reference for anyone working in the area.' Journal of Functional Programming
Table of Contents1. Abstract reduction systems; 2. First-order term rewriting systems; 3. Examples of TRSs and special rewriting formats; 4. Orthogonality; 5. Properties of rewriting: decidability and modularity; 6. Termination; 7. Completion of equational specifications; 8. Equivalence of reductions; 9. Strategies; 10. Lambda calculus; 11. Higher order rewriting; 12. Infinitary rewriting; 13. Term graph rewriting; 14. Advanced ARS theory; 15. Rewriting based languages and systems; 16. Mathematical background.
